Wednesday
June 19, 2013

# Homework Help: Math: Calculus

Calculus
Determine an equation of the tangent line to the curve of f (x) = 3e^4x − 3 at the point where the curve crosses the y-axis.
Monday, October 15, 2012 at 11:06am

calculus
Differentiate: f(x)=(secx)/[1+sec(x)]
Monday, October 15, 2012 at 10:32am

calculus
differentiate: g(t)=tˆ3cos(t)
Monday, October 15, 2012 at 10:30am

Calculus
What is the derivative of R(x)=(√7)/(xˆ10)
Monday, October 15, 2012 at 10:19am

Calculus
Let h(x) be a function which satisfies h'(4) = 3. If k(x) = h(x2), compute k'(2).
Monday, October 15, 2012 at 10:10am

Calculus 251
The slope of the tangent line to the curve y= 3x^3 at the point (-1,-3) is:? The equation of this tangent line can be written in the form y=mx+b where m is:? and where b is:?
Monday, October 15, 2012 at 12:24am

Pre-Calculus
An indoor physical fitness room consists of a rectangular region with a semicircle on each end. The perimeter of the room is to be a 200-meter running track. a) Draw a figure that visually represents the problem. Let x and y represent the length and width of the rectangular ...
Sunday, October 14, 2012 at 7:05pm

Calculus
A particle moves along a horizontal line so that at any time t its position is given by x(t)=cost-t. Time is measured in seconds and x is measured in meters. a.) Find the velocity as a function t. Use your answer to determine the velocity of the particle when t=pi/6 seconds. ...
Sunday, October 14, 2012 at 1:03pm

Calculus
A metal cylindrical container with an open top is to hold 1 cubic foot. If there is no waste in construction, find the dimensions which will require the least amount of material.
Saturday, October 13, 2012 at 10:41pm

Calculus
suppose y=√(2x+1), where x and y are functions of t. a)if dx/dt=3, find dy/dt when x=4 b)if dy/dt=5, find dx/dt when x=12
Friday, October 12, 2012 at 10:05am

calculus
A fence 8 feet tall stands on level ground and runs parallel to a tall building. If the fence is 1 foot from the building, find the shortest ladder that will extend from the ground over the fence to the wall of the building.
Thursday, October 11, 2012 at 7:19pm

Calculus 2
how do I find the fluid force of a vertical semicircle that has been divided into three equal sectors of 60 degrees each. I know what the equation to find the fluid force for the whole semicircle is. but how do I find L(y) for each semicircle.
Thursday, October 11, 2012 at 6:33pm

Calculus
The length of rectangle is increasing at a rate of 8cm/s and its width is increasing at a rate of 3cm/s. When the length is 20cm and the width is 10cm, how fast is the area of the rectangle increasing?
Thursday, October 11, 2012 at 4:28pm

Calculus
Two ships leave the same port at noon. Ship A sails north at 22 mph, and ship B sails east at 12 mph. How fast is the distance between them changing at 1 p.m.? (Round your answer to one decimal place.)
Wednesday, October 10, 2012 at 10:58pm

calculus
a man on a dock is pulling in a boat by means of a rope attached to the bow of the boat 1ft above the water level and passing through a simple pulley located on a dock 8ft above the water level. if he pulls in the rope at a rate of 2ft/sec, how fast is the boat approaching the...
Wednesday, October 10, 2012 at 10:20pm

Calculus 2
find the integral of x/(x^2+4)dx using trigonometric substitution.
Wednesday, October 10, 2012 at 9:08pm

calculus
Make a singn diagram for the derivative of the function f(x)= (x-1)^4
Wednesday, October 10, 2012 at 8:27pm

Calculus
How do you go from ln(x^10)+e^ln(x) to 10ln(x)+x
Wednesday, October 10, 2012 at 7:35pm

Calculus 2
Evalute the integral of x/(x^2+4)dx using u-substitution and then trigonometric substitution. I did this and got (1/2)ln(x^2+4)+C using u-substitution and x^2+4+C using trigonometric substitution. What did I do wrong??? thank you for helping!
Wednesday, October 10, 2012 at 6:54pm

Calculus II
A spherical tank with radius of 5 feet is set on a coloumn 15 feet above the ground. How much work is required to fill the tank with water if the solution is pumped from ground level?
Wednesday, October 10, 2012 at 11:12am

Calculus
Find the number of cells present after 9 days given the function: f(x)=111.6e^(.44794t)+288.4
Wednesday, October 10, 2012 at 10:32am

Calculus
F(x)=|x-5| evaluate the following limits lim x->5- ( f(x)-f(5))/(x-5) lim x->5+ ( f(x)-f(5))/(x-5)
Wednesday, October 10, 2012 at 12:33am

Math
A room has dimensions 2.24 m (height) × 5.30 m × 6.55 m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? (b) If the fly walks rather than flies, what is the length of the ...
Tuesday, October 9, 2012 at 11:45pm

math (calculus)
A room has dimensions 2.24 m (height) × 5.30 m × 6.55 m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? (b) If the fly walks rather than flies, what is the length of the ...
Tuesday, October 9, 2012 at 11:39pm

pre calculus
A farmer will be adding a rectangular corral to his barn. He has 600 feet of fencing. The part of the barn that is attached to the corral is 150 feet long. Write a function for the area of the corral, A(x) and include the domain Find the answers for both 'x' and 's...
Tuesday, October 9, 2012 at 11:11pm

pre-calculus
write the expression as a simple logarithm. express powers. In(x/x-5)+In(x+5/x)-In(x^2-25)
Tuesday, October 9, 2012 at 9:39pm

Calculus
Find the derivatives of the function f(y)= sinh(sinh(7y).
Tuesday, October 9, 2012 at 9:38pm

Calculus
Integrate the expression β = 1/V (δV / δT) at constant pressure, assuming that β is independent of temperature. By doing so, obtain an expression for V as a function of T and β at constant P.
Tuesday, October 9, 2012 at 7:58pm

pre-calculus
find the functions f and g so that Fog = H. H(x)=/2x+1\
Tuesday, October 9, 2012 at 7:24pm

pre-calculus
Change the logarithmic expression to an equivalent expression involving an exponent. Log7343=x the 7 should drop down lower than the 343.
Tuesday, October 9, 2012 at 5:06pm

calculus
Find the derivative of the function 1)f(t)=tan(e^2t)+e^tan2t f'(t)= [im not quite sure with this. im assuming the implicit differentiation] 2) F(t)=e^(8tsin2t) [for this one i got 2e^(8t)(4sin(2t)+cos(2t)) but it is incorrect.
Monday, October 8, 2012 at 11:35pm

Calculus
lim y->2 (sqrt(y+2)-2)/(y-2)
Monday, October 8, 2012 at 10:54pm

Calculus
Find the second derivative of the function. g(x)=x^6secx
Monday, October 8, 2012 at 10:39pm

Pre-Calculus
Exponential Functions This is my equation that models the accumulated amount (A) at any time t. A = 1000(1+0.08/12)^t*12 ^ How do I plot that into the graphing texas instruments calculator? What I do I type in the y-axis?
Monday, October 8, 2012 at 10:33pm

Calculus
lim y->2 (sqrt(y+2)-2)/(y-2)
Monday, October 8, 2012 at 10:30pm

Calculus
Write an equation of the line that passes through the point (i) parallel to the given value, and (ii) perpendicular to the given line. Point(7,1) Line(-5x-5y=90)
Monday, October 8, 2012 at 9:54pm

Calculus
Find the slope of the graph of the function at the given value. h(z)=z^(2/7)-z^(5/8) when z=7
Monday, October 8, 2012 at 9:52pm

calculus
Find an equation of the tangent line to the curve at the given point. y= (1+3x)^12 , (0,1) and find y' and y" y=cos(x^2) I got y' = -2xsin(x^2) i keep trying to get double prime but everything i try isnt working.
Monday, October 8, 2012 at 9:00pm

calculus
Find all relative extrema of the function. (Enter NONE in any unused answer blanks.) f(x) = x4 – 8x3
Monday, October 8, 2012 at 8:04pm

calculus
Let f be the function defined by f(x)= sqrt(x), 0 <or= x <or= 4. and f(x)= 6-x, 4 < x <or= 6 a. Is f continuous at x=4? justify. b. Find the average rate of change of f(x) on the closed interval [0,6]. c. suppose the function g(x)= k sqrt(x), 0 <or= x <or= 4...
Monday, October 8, 2012 at 7:06pm

Calculus
if you have g(x)=ln(x^10)+e^ln(x) would you just get 1/x^10+e^ln(x) or am i wrong the way it was explained to me that with e the derivative is just wat it is you dont change it
Monday, October 8, 2012 at 6:49pm

Math Calculus
Suppose g(x) = 6x arctan (ln x/(x^3+2)) Plot y = g(x) in the square window deﬁned by 0 ≤ x ≤ 2 and −1 ≤ y ≤ 1. Also plot the secant lines connecting (1, g(1)) and (1 + h, g(1 + h)) for h = .5 and h = .25 in the same window. Give a table of ...
Monday, October 8, 2012 at 4:57pm

Calculus
arcsinxy = 2/3 arctan4x find dy/dx at the point (1/4, 2)
Monday, October 8, 2012 at 3:34pm

Calculus
Given F(2)=1,F'(2)=5,F(4)=3,F'(4)=7 and G(4)=2,G'(4)=6,G(3)=4,G'(3)=8, find: a)H(4)if H(x)= F(G(x)) b)H'(4)if H(x)= F(G(x)) c)H(4)if H(x)= G(F(x)) d)H'(4)if H(x)= G(F(x)) e)H'4 if H(x)= F(x)/G(x) Please Help!
Monday, October 8, 2012 at 3:04pm

calculus help!!!!
Find derivative of: g(theta) = cos^2(2theta-1)
Monday, October 8, 2012 at 6:10am

Calculus: free body diagram--PLZ HELP!=)
Grain is being poured through a chute at a rate of 8 cubic feet per minute and forms a conical pile. The radius of the bottom of the pile is always half of the heightof the pile. How fast is the circumference of the base increasing when the pile is 10 feet high? ..I keep ...
Monday, October 8, 2012 at 12:27am

CALCULUS
Find derivative of: g(theta) = cos^2(2theta-1)
Monday, October 8, 2012 at 12:19am

calculus derivative
find the derivative of: y=(x/(x+1))^3
Monday, October 8, 2012 at 12:18am

calculus derivative HELP!
Find the derivative of: y=2sqrt(x)-(1/x)
Monday, October 8, 2012 at 12:16am

FREE BODY DIAGRAM calculus
A car is traveling north towards an intersection at 60mph at the same time a truck is headed east toward the same intersection at 45mph. Find the rate of change of the distance between the car and truck when the car is 3 miles south of the intersection and the truck is 4 miles...
Sunday, October 7, 2012 at 11:57pm

find the equation for the line tangent to the curve at the given point. y=((x^2)+1)/((x^2)-1) at (2, 5/3)
Sunday, October 7, 2012 at 11:48pm

find derivative of: f(x)=e^2 I know that b/c e is a constant the answer is 0, but how do I show that in my work?
Sunday, October 7, 2012 at 11:21pm

Calculus 3
A medieval city has the shape of a square and is protected by walls with length 550 m and height 16 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (...
Sunday, October 7, 2012 at 10:45pm

calculus
find the derivative of y=2sqrt(x)-(1/x)
Sunday, October 7, 2012 at 10:45pm

Calculus - free body diagram
A water tank has the shape of an inverted right circular cone whose base radius is equal to half its height. Water is being pumped in at 2 cubic meters per second. How fast is the water rising when the water is 3 meters deep?
Sunday, October 7, 2012 at 10:29pm

Calculus...plz help!!
find dy/dx of xsiny-ycosx=1
Sunday, October 7, 2012 at 10:26pm

CALCULUS help!!!=))
find dy/dx (-x^2)(y)+2xy=3y^2-7
Sunday, October 7, 2012 at 10:24pm

CALCULUS help!!!=))
find dy/dx -x^2y+2xy=3y^2-7
Sunday, October 7, 2012 at 10:23pm

CALCULUS help! =)
find the derivative of f(x)=3x^2-x using the limit definition.
Sunday, October 7, 2012 at 10:22pm

calculus PLZ HELP!!
find the equation for the line tangent to the curve at the given point. (x^2)(y^2)-2xy+x=1 at (2, 1/2)
Sunday, October 7, 2012 at 10:08pm

calculus =)
find the derivative of g(x)=sin(cos(sin(pi*x)))
Sunday, October 7, 2012 at 5:28pm

pre calculus
Algebraically solve the system of equations using any method you wish 3x-10y+z=5 -4x+9y-z=-6 -13y+z=2
Sunday, October 7, 2012 at 5:08pm

calculus
grain is being poured through a chute at rate of 8 ft^3/min and forms a conical pile whose radius of the bottom is always 1/2 the height of pile. How fast is circumference increasing when the pile is 10 feet high?
Sunday, October 7, 2012 at 4:56pm

Calculus
Use implicit differentiation to find dy/dx. e^4x = sin(x+2y). This is a practice problem. It says the correct answer is 4e^x/(2sin(x+2y)) but I keep getting 4e^(4x)/(2cos(x+2y)). I thought the derivative of e^(4x) would be 4e^(4x), not 4e^(x). And I use chain rule on sin(x+2y...
Saturday, October 6, 2012 at 11:51pm

pre-calculus
solve the equation 1. In x + In (x+12) =2 x= ? or either there is no solution 2. solve the exponential equation 9^x=6 What is the exact answer? 3. Use transformations to indentify the graph of the function. Then determine its domain, range, and horizontal asymptote. f(x)=2^-x+...
Saturday, October 6, 2012 at 4:35pm

Calculus
The linear approximation to 1/sqrt(3-x) at x=0 is y=
Saturday, October 6, 2012 at 4:16pm

pre-calculus
solve the exponential equation. express the solution in terms of natural logarithims. Then, use a calculator to obtain a decimal point approximation for the solution. e^x=12.3 What is the solution in terms of natural logarithims? The solution set is ?
Saturday, October 6, 2012 at 4:05pm

pre-calculus
solve for the following exponetial equation. 1.4^x=(0.5)^-x What is the exact answer? A. x= b. There is no solution.
Saturday, October 6, 2012 at 4:00pm

pre-calculus
solve the following logarithmic equation. be sure to reject any value of x that is not in the domain of the original logarithmic expression. give the exact answer. then, use the calculator to obtain a decimal appromiation, correct to two decimal places, for the solution. In x=...
Saturday, October 6, 2012 at 3:44pm

pre-calculus
solve the logarithmic equation. be sure to reject any value of x that is not in the domain of the orginal logarithmic expression. In square root of x+2=2 (If I try to make the square root sign it will not come out right so I wrote it out instead) What is the exact solution. A...
Saturday, October 6, 2012 at 3:19pm

pre-calculus
solve the equation 5^5x+1=125
Saturday, October 6, 2012 at 2:50pm

pre-calculus
solve the following logarithmic equation. Be sure to reject any value of x that is not in thedomain of the orginal logarithmic expression. Give the exact answer. log3(x+8)=4 The three actually drops down a little below the g. Can someone tell me how to do this?
Saturday, October 6, 2012 at 2:05pm

pre-calculus
solve the equation (5/2)^2=(125/8) x=
Saturday, October 6, 2012 at 2:00pm

pre-calculus
the function f(x)=4/x-7 is one to one a. find the inverse of f b. graph f, f^-1, and y=x on the same set of axes find the inverse of f f^-1(x)=
Saturday, October 6, 2012 at 1:56pm

calculus
find the x coordinate of each point at which the line tangent to the graph of f(x)=x^4-3x^2 is parallel to the line y= -2x+4
Saturday, October 6, 2012 at 12:42pm

pre-calculus
find the inverse of the following function. Find the domain, range, and asymptotes of each function. f(x)=3+1n(x+2)
Saturday, October 6, 2012 at 11:29am

pre-calculus
Please diregard the other one the square root sign did not come out right. find the complete function f o g f(x)=x^2+1;g(x)= square root x-4
Saturday, October 6, 2012 at 11:27am

calculus
Integrate sinx+cosx/rootsin2x with respect to dx...plzz help me
Friday, October 5, 2012 at 12:00pm

Calculus
Find the derivative of y=15x^7+7^x+22
Friday, October 5, 2012 at 9:48am

Calculus
Find dy/dx in terms of x and y if arcsin(x^5y)=xy^5.
Thursday, October 4, 2012 at 11:33pm

calculus
Prove (by using a point and a normal vector) that the plane whose intercepts with the coordinate axes are x=1, y=1, and z=1 is given by the equation x+y+z=1
Thursday, October 4, 2012 at 10:39pm

Calculus
Find the absolute maximum and minimum vales of the set D. F(x,y) = x^2 + y^2 - 2x, D is the closed triangular region with vertices (2,0), (0,2), and (0,-2). I know that I have to find Fx(x,y) and Fy(x,y) but I'm not sure where to go from there. Any help is appreciated. Fx(...
Thursday, October 4, 2012 at 9:40pm

Calculus 2
integral of sinh(p*ln(x/xsub0))dx
Thursday, October 4, 2012 at 1:28pm

Calculus
Find the equation of the tangent plane at the given point. 1)x^2+y^2-z=1 at the point (1,3,9) 2)x^2*y^2+z-40=0 at x=2, y=3 3) x^2+ln(xy)+z=6 at point (4,0.25,2) For the first one I got the partial fraction in terms of x, y and z and my final answer was -2x+6y-z+2. I don't ...
Thursday, October 4, 2012 at 1:10pm

Calculus 2
Find the derivative of ln(x+(x^2-1)^(1/2)).
Thursday, October 4, 2012 at 1:10pm

Calculus 2
Find the integral of sinh^2(x)dx.
Thursday, October 4, 2012 at 1:09pm

calculus
Integrate e^2x/e^x 1....plzz note e^x 1 as a whole is the denominator
Thursday, October 4, 2012 at 11:24am

Calculus 2
Find the derivative of ln(arccoshx)
Thursday, October 4, 2012 at 10:41am

Calculus 2
Find the integral of acrsinhxdx
Thursday, October 4, 2012 at 10:40am

Calculus
Find dy/dx by implicit differentiation. x^3 - 3x^2y + 2xy^2 =12 Please show me the work/steps on how to do it.
Wednesday, October 3, 2012 at 11:19pm

calculus
what is the rate of increasing for a car whick run a distance of 5 miles in the first hour and 10 miles in the second hour?
Tuesday, October 2, 2012 at 9:39pm

Pre-Calculus
solve by fully factoring x^3-7x-6=0 How would I fully factor this?
Tuesday, October 2, 2012 at 8:22pm

Pre-Calculus
Radical Functions Graph y=(x-3)(x+2) and y=√(x-3)(x+2). where are the x-intercepts of each function ?why? for the first one, i know that whatever is inside the brackets is opposite, so the x intercepts would be at 3, and -2. but the whole radical thing is it the same ...
Tuesday, October 2, 2012 at 8:10pm

Pre-Calculus
Rational Functions y = (x^2+7x-4)/(x-2) Since the degrees of both the numerator and denominator are the same, I would use the leading coefficient, and both the rational functions start with 1, so would the horizontal asymptote be 1? Also dont get how to find the horizontal ...
Tuesday, October 2, 2012 at 7:27pm

calculus
y=x^3-3x. Fill out the following table and then make a rough sketch of the graph. I can make the sketch just having trouble understanding what is wanted. y=0 when y'=0 when Relative Max(s) Relative Min(s) y'>0 on the interval(s) y'<0 on the interval(s) y is ...
Tuesday, October 2, 2012 at 12:13pm

calculus
A plane flying horizontally at an altitude of 1 mi and a speed of 560 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station. (Round your answer to the nearest whole number.)
Tuesday, October 2, 2012 at 10:56am

Calculus
y=x^3-3x. Fill out the following table and then make a rough sketch of the graph. I can make the sketch just having trouble understanding what is wanted. y=0 when y'=0 when Relative Max(s) Relative Min(s) y'>0 on the interval(s) y'<0 on the interval(s) y is ...
Tuesday, October 2, 2012 at 10:38am

calculus
Using the chain rule... how can i differentiate this? y=xã(x-2)
Tuesday, October 2, 2012 at 6:07am

calculus
How do I solve this using the TERM BY TERM method? If f(x)= (2x^2 - 5x - 3) / (3-x) find f'(-8).
Tuesday, October 2, 2012 at 6:01am

calculus
How do I solve this using the TERM BY TERM method? If f(x)= (2x^2 - 5x - 3) / (3-x) find f'(-8).
Tuesday, October 2, 2012 at 5:54am

Pre-Calculus
Rational Functions does the following function have a hole or a vertical asymptote or both? how do you know? find the y-value at that point. y=x^2+7x+12/x^2+8x+15 I factored this out to y = (x+3)(x+4)/(x+5)(x+3) The x+3's cancelled out. I dont get the whole verticle and ...
Tuesday, October 2, 2012 at 1:34am

pre-calculus
find a bound on the real zeros of the polynomial functions. f(x)=x^4+7x^3-x-2 every real zero of f lies between - ? and ?
Monday, October 1, 2012 at 11:57pm

pre-calculus
find the complex zeros of the polynomial function. write F in the factored form. f(X)=x^3-7x^2+20x-24 use the complex zeros to write f in factored form. f(x)= (reduce fractions and simplify roots)
Monday, October 1, 2012 at 11:29pm

pre-calculus
form a polynomial f(x) with real coefficients having the given degree and zeros. degree 5; zeros -7; -i;-9+i enter the polynomial. f(x)=a(?)
Monday, October 1, 2012 at 11:23pm

Calculus
Find the value of c where the line l tangent to the graph of y=2.5*5^x at (0,2.5) intersects the x-axis
Monday, October 1, 2012 at 10:58pm

Calculus
A closed box is to be rectangular solid with a square base. If the volume is 32in^3, determine the dimensions for which the surface area is minimum.
Monday, October 1, 2012 at 10:31pm

Calculus
Find the value of c where the line l tangent to the graph of y=2.5*5^x at (0,2.5) intersects the x-axis
Monday, October 1, 2012 at 9:45pm

Calculus
Consider the planes given by the equations 2y−2x−z=2 x−2y+3z=7 (a) Find a vector v parallel to the line of intersection of the planes. (b)Find the equation of a plane through the origin which is perpendicular to the line of intersection of these two planes. ...
Monday, October 1, 2012 at 7:16pm

calculus and physics
An explosion causes debris to rise vertically with an initial velocity of 75 ft/sec. a. In how many seconds does it attain maximum height? b. What is the maximum height? c. What is the speed of the debris as it reaches 12 ft on the way back to the ground? d. What is the ...
Monday, October 1, 2012 at 6:40pm

calculus and physics
An explosion causes debris to rise vertically with an initial velocity of 75 ft/sec. a. In how many seconds does it attain maximum height? b. What is the maximum height? c. What is the speed of the debris as it reaches 12 ft on the way back to the ground? d. What is the ...
Monday, October 1, 2012 at 6:33pm

Calculus
determine the point(s)at which the graph of y^4 = y^2 -x^2 has a horizontal tangent.
Monday, October 1, 2012 at 3:00pm

calculus
If a rock is thrown upward on the planet Mars with a velocity of 13 m/s, its height in meters t seconds later is given by y = 13t − 1.86t2. (Round your answers to two decimal places.) (a) Find the average velocity over the given time intervals.
Monday, October 1, 2012 at 1:29am

calculus
Find an equation of the tangent line to the curve at the given point. y = sec x, (π/3, 2)
Monday, October 1, 2012 at 12:53am

calculus
For what values of x does the graph of f have a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.) f(x) = x − 2 sin x
Monday, October 1, 2012 at 12:45am

Calculus
Given that f is a differentiable function with f(2,5) = 6, fx(2,5) = 1, and fy(2,5) = -1, use a linear approximation to estimate f(2.2,4.9). The answer is supposed to be 6.3. Here's what I've done so far: L(x,y) = f(2,5) + fx(2,5)(x) + fy(2,5)(y) L(x,y) = 6 + x - y L(2...
Sunday, September 30, 2012 at 11:23pm

pre-calculus
solve for the follow inequality. write your solution in interval notation. x^3-49x¡Ü0
Sunday, September 30, 2012 at 5:12pm

Calculus II
Calculate the area inside both of the ellipses (x^2)/3 + y^2 =1 and x^2 + (y^2)/3 = 1.
Sunday, September 30, 2012 at 4:21pm

calculus
f(x)=(x^2+1)(1-x-x^3).Determine the equation of the line tangent to f(x) at the point (1,-2).
Sunday, September 30, 2012 at 4:09pm

calculus
Find the equation of the tangent line to the curve x^3 + xy^2 =5 at the point (1,2).
Sunday, September 30, 2012 at 4:05pm

calculus
What is the slope of the curve x = cos(y) at the point where y=-pi/3
Sunday, September 30, 2012 at 4:03pm

calculus
The slope of the curve x^3y^2 + 2x - 5y + 2 = 0 at the point (1,1) is
Sunday, September 30, 2012 at 2:11pm

pre-calculus
solve the the following inequality. write your solution in interval notation. x^3-49x<0 _ (I don't know how to make the sign on my computer)
Saturday, September 29, 2012 at 11:29pm

pre-calculus
R(x)=x^2+x-6 ________ x-3 1. find the domain and y-intercepts 2. find the x-intercepts 3. find the real solution of the equation 4. find the horizontal or oblique asymptotes 5. find the x-axis 6. plot the points
Saturday, September 29, 2012 at 11:00pm

Calculus
A chain 64 meters long whose mass is 20 kilograms is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the top 3 meters of the chain to the top of the building?
Saturday, September 29, 2012 at 12:44pm

Calculus
A trough is 3 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of x^2 from -1 to 1 . The trough is full of water. Find the amount of work required to empty the trough by pumping the water over the top. Note: The ...
Saturday, September 29, 2012 at 12:43pm

Pre-Calculus
Two sides of a triangle are x units and y units in length. The angle between them is theta. Prove that the area of the triangle is 1/2xysin(theta). I'm not sure how to do this question, I tried drawing a picture but I'm still not understanding it.
Friday, September 28, 2012 at 10:19pm

Pre-Calculus
Two sides of a triangle are x units and y units in length. The angle between them is theta. Prove that the area of the triangle is 1/2xysin(theta). I'm not sure how to do this question, I tried drawing a picture but I'm still not understanding it.
Friday, September 28, 2012 at 8:42pm

math
65 men 75 women are enfolled in calculus. There are 30 business majors, 40 biology majors, 50 computer science majors, and 20 mathematics majors. No person has a double. If a single calculus student is chosen, find the probability that that the student is not a mathematics major
Friday, September 28, 2012 at 4:44pm

Pre-Calculus
Composition of Functions If f(x) = 2x+1 find A. f o f(x) f(f(x)) = f(2x+1) f(2x+1) = 2(2x+1) f(f(x)) = 4x +2 B. f o f o f o f(x) ^ I dont get how to solve this one C. f o f o f o f o f ...o f(x) n functions of f ^ I also dont get how to solve this one given f(x) = ax+b and g(x...
Thursday, September 27, 2012 at 10:27pm

calculus
A golf ball of mass 0.05 kg is struck by a golf club of mass m kg with a speed of 50m/s will have an initial speed of v(m)=83m/(m+0.05) m/s. show that v'(m)>0 and interpret this result in context with the application. Compare v'(0.15) and v'(0.20) in context of ...
Thursday, September 27, 2012 at 10:22pm

statistics/calculus
e^(10)-e^(10-x)-x/(e^(10)-11)=0.25 and e^(10)-e^(10-x)-x/(e^(10)-11)=0.75 -Solve both for x. -Can you solve both of these for x without a Ti-89 calculator? If so how? -The reason I want to calculate this is to find upper and lower quartiles of a deformity angle which is ...
Thursday, September 27, 2012 at 10:18pm

Calculus AP
areas between the curves x=y^2-2, x=y, y=3. int[a,b](f(y)-g(y)) dy i know how to graph. but im have problem with integral.
Thursday, September 27, 2012 at 9:57pm

Pre-Calculus
Composition of Functions f o g(x)=f(g(x)) --> I know that this is eqivalent to f(g(x)) Given f(x) = 2x+1, and g(X) = 3x+1 find:f o g(x)=f(g(x)) This is what I did, but I don't think Ive solved it correctly f(g(x)) = f(x-3) f(x-3) = 1(x-3)-3x+2 =x-3-3x+2 f(g(x)) = -2x-1 ...
Thursday, September 27, 2012 at 9:48pm

Calculus 2
Calculus. Mary designed a new viewing window consisting of a rectangle and a semi circle for a fresh water aquarium. The window is as follows and the top is located 10 feet below the water's surface. How much force is on the window?
Thursday, September 27, 2012 at 8:35pm

Calculus 2
Calculus 2. Tom and Mike have a bet as to who will do the most work today. Mike has to compress a coil 200 feet. It takes Mike 250 lbs to compress the coil 10 feet. Tom needs to pump water through the top of a cylindrical tank sitting on the ground. The tank is half full, has ...
Thursday, September 27, 2012 at 8:34pm

calculus
Sand falls from a conveyor belt at a rate of 20 m^3/min onto the top of a conical pile. The height of the pile is always 3/4 of the base diameter. Answer the following. a.) How fast is the height changing when the pile is 10 m high? Answer = m/min. b.) How fast is the radius ...
Thursday, September 27, 2012 at 7:01pm

calculus
A girl flies a kite at a height of 200 ft, the wind carrying the kite horizontally away from her at a rate of 4 ft/sec. How fast must she let out the string when the kite is 422 ft away from her? Answer = ft/sec.
Thursday, September 27, 2012 at 7:00pm

calculus
Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 429 knots (nautical miles per hour; a nautical mile is 2000 yd or 6000 ft.) Plane B is ...
Thursday, September 27, 2012 at 7:00pm

calculus
A 13 ft ladder is leaning against a house when its base begins to slide away. By the time the base is 3 ft from the house, the base is moving at the rate of 5 ft/sec. Answer the following: At what speed is the top of the ladder sliding down the wall at that time? Answer = ft/...
Thursday, September 27, 2012 at 6:59pm

calculus
The length l of a rectangle is decrasing at a rate of 5 cm/sec while the width w is increasing at a rate of 2 cm/sec. When l = 15 cm and w = 7 cm, find the following rates of change: The rate of change of the area: Answer = cm^2/sec. The rate of change of the perimeter: Answer...
Thursday, September 27, 2012 at 6:59pm

calculus
When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm/min. At what rate is the plate's area increasing when the radius is 100 cm? Answer = _______ cm^2/min
Thursday, September 27, 2012 at 6:58pm

calculus
The voltage V (volts), current I (amperes), and resistence R (ohms) of an electric circuit are related by the equation V=IR. Suppose that V is increasing at a rate of 3 volt/sec while I is decreasing at a rate of 1/8 amp/sec. Let t denote time in seconds. Determine the rate at...
Thursday, September 27, 2012 at 6:57pm

Calculus 2
Calculus work problem. John bought the following corner lot. Two sides are bounded by 2 roads the back is bounded by a stream that follows the curve y = -x^3 + 8. He wants to build a house in the center of the lot. Where will that be? Please show all work
Thursday, September 27, 2012 at 5:35pm

Physics based Calculus
Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. All he has to use, however, is a baseball, a stopwatch, and a friend on the ground below with a long measuring tape. Bob is a pitcher, and knows that the fastest he can ...
Thursday, September 27, 2012 at 2:39pm

calculus
Find the dimensions of the largest cylinder that can be cut from a solid sphere of radius a.
Thursday, September 27, 2012 at 10:29am

Calculus derivative
How do you do the derivative of a^x, for example, (3/4)^x Thank you for helping!
Thursday, September 27, 2012 at 8:31am

Calculus
a property owner wants to build a rectangular enclosure around some land that is next to the lot of a neighbor who is willing to pay for half the fence that actually divides the two lots. If the area is A, what should the dimensions of the enclosure be so that the cost to the ...
Wednesday, September 26, 2012 at 9:54pm

Pre-Calculus
Operations with Functions write the function below as either a sum/difference/product/quotient of 2 r more functions a. h(x) = x^2+3x+9 How Would I do this? My teacher just did this f(x) = x^2 g(x) 3x+9 ^I dont really understand h(x)=(x+5)(x-3) how would I do this one? If h(x...
Wednesday, September 26, 2012 at 7:35pm

Pre-Calculus
Graphing Polynomials Decide whether each of the following is sometimes true, always true, or never true and explain reasoning. A. A cubic function has 2 different x-intercepts ^Never true, has to have 3? B. A cubic function has 3 x-intercepts ^ Always true C. A quartic ...
Wednesday, September 26, 2012 at 7:10pm

Calculus
By Kirchoffs voltage law the sum of the voltage in the circuit. Consider the circuit with variable resistor R. 5V 10ohms R A. find a relationship between I and R in the circuit using E=I R and kirchoffs voltage law. B. the power to a resistor is given by I^2R watts write P as ...
Wednesday, September 26, 2012 at 5:51pm

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