Friday
February 27, 2015

# Homework Help: Math: Calculus

Recent Homework Questions About Calculus

calculus
The following definite integral can be evaluated by subtracting F(B) - F(A), where F(B) and F(A) are found from substituting the limits of integration. \int_{0}^{4} \frac{1600 x +1200 }{(2 x^2 +3 x +1)^5}dx After substitution, the upper limit of integration (B) is : and the ...
Saturday, March 8, 2014 at 6:00pm

calculus
At a summer campfire, the radius of a marshmallow on a stick expands at the rate of \ {r ' (t)} = \frac{2.4 }{3 t + 6} mm/s where t is the time of heating in seconds. Initially the radius was 3.8 mm. Find the radius after 16 seconds using the following steps: When ...
Saturday, March 8, 2014 at 6:00pm

calculus
Ice cream drips out of the bottom of an ice cream cone on a hot day at a rate of r(t) mL per second, as a child eats it slowly, where t is in seconds. If r(t) = 10 e^{-k t}, complete the definite integral expressing the quantity of ice cream lost in the first 3 minutes(s). (...
Saturday, March 8, 2014 at 5:59pm

calculus
At a summer campfire, the radius of a marshmallow on a stick expands at the rate of \ {r ' (t)} = \frac{2.1 }{1 t + 5} mm/s where t is the time of heating in seconds. Initially the radius was 3.8 mm. Find the radius after 27 seconds using the following steps: When ...
Saturday, March 8, 2014 at 5:59pm

calculus
Find the area of the region under the curve y = 16 e ^{4 x} between x = -1.4 to x =1.4 .
Saturday, March 8, 2014 at 5:58pm

calculus
A searchlight rotates at a rate of 3 revolutions per minute. The beam hits a wall located 7 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per hour) is this dot moving when the angle \theta between the beam and the line ...
Friday, March 7, 2014 at 7:13pm

calculus
A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is \frac{\pi}{3} , and it is changing at a rate of 0.1 rad/min. How fast is the ...
Friday, March 7, 2014 at 7:00pm

Calculus
for what values of r does the function y=e^rx satisfy the differential equation y''-4y'+y=0 Show steps please! Thank you!
Friday, March 7, 2014 at 6:43pm

calculus
A man of height 1.5 meters walk away from a 5-meter lamppost at a speed of 1.8 m/s. Find the rate at which his shadow is increasing in length.
Friday, March 7, 2014 at 6:30pm

calculus
A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 1.4 \text{m}^3\text{/min}. How fast is the water level rising when it is 2.6 m?
Friday, March 7, 2014 at 5:53pm

Calculus Help Please!!!
--- Find the slope m of the tangent to the curve y = 4 + 4x^2 − 2x^3 at the point where x = a. ---- Find equations of the tangent lines at the points (1,6) and (2,4). (1,6) Y(x)= (2,4) Y(x)=
Friday, March 7, 2014 at 4:40pm

Calculus Help Please!!!
c) Estimate the instantaneous rate of growth in 2006 by measuring the slope of the tangent line through (2005, 10237) and (2007, 15005). d) Estimate the instantaneous rate of growth in 2007 by measuring the slope of the tangent line through (2006, 12435) and (2008, 16684). e)...
Friday, March 7, 2014 at 4:07pm

Calculus Help
Find a parabola with equation y = ax^2 + bx + c that has slope 6 at x = 1, slope −14 at x = −1, and passes through the point (2, 17).
Friday, March 7, 2014 at 2:56pm

Criminal justice
1. Which of the following, according to Carl Klockars, is NOT an important consideration in determining whether the good ends of police work justify immoral means in a given scenario? A. Are there other, non-dirty, means that may be effective but that we may be overlooking? B...
Friday, March 7, 2014 at 2:21pm

Calculus Please help!
Consider the function f(x)=4sqrt(x)+4 on the interval [2,5] . Find the average or mean slope of the function on this interval _______ <---A By the Mean Value Theorem, we know there exists a c in the open interval (2,5) such that f'(c) is equal to this mean slope. For ...
Friday, March 7, 2014 at 3:25am

Calculus Please help!
f(x) -2x^3+2x^2-3x+2 Find the average slope of this function on the interval (–3–1) ________ <--A By the Mean Value Theorem, we know there exists a c in the open interval (–3–1) such that f'(c) is equal to this mean slope. Find the value of c in the ...
Friday, March 7, 2014 at 3:23am

Calculus...URGENT..show steps please
Use implicit differentiation to find the points where the parabola defined by x^{2}-2xy+y^{2}-6x+2y+17 = 0 has horizontal and vertical tangent lines. List your answers as points in the form (a,b).
Friday, March 7, 2014 at 2:29am

pre-calculus
Find the real and imaginary zeros for the following polynomial function. T(b)= 147b^3-35b^2-19b+3
Thursday, March 6, 2014 at 12:22am

Math- NOT CALCULUS
The hourly profit ($P) obtained from operating a fleet of n taxis is given by P=-2n^2+84n-45 What is the profit if 20 taxis are on the road? What is the maximum hourly profit? What number of taxis gives the max hourly profit? How much money is lost per hour if no taxis are on ... Wednesday, March 5, 2014 at 8:58pm Pre - calculus Can someone please explain how to simplify this proiblem: cotx/sec^2 + cotx/csc^2 Wednesday, March 5, 2014 at 7:59pm calculus Find the correct values for the equation -x^3 +bx^2 +cx + d, using this information, local min x= -5, local max (1,11). Point of inflection = -2. Wednesday, March 5, 2014 at 11:14am pre calculus Candy and Tim share a paper route. It takes Candy 70 min to deliver all the papers, and it takes Tim 80 min. How long does it take the two when they work together? Tuesday, March 4, 2014 at 12:46am pre calculus Jack invests$1000 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of$190 interest in 1 year, at what rate is the $1000 invested? Tuesday, March 4, 2014 at 12:46am Pre-Calculus Find vector a<3,2,-4> X vector b<-6, 9,0> Monday, March 3, 2014 at 6:15pm Pre-Calculus Phil Dawson is a professional place kicker for the Cleveland Browns. On average, he kicks the ball at a 41 degree angle and with an initial speed of 70 feet per second. For future reference, goal posts are 10 feet high in the NFL. a) Write parametric equations to model Dawson... Monday, March 3, 2014 at 6:12pm Pre-Calculus Write an equation in slope-intercept form of the line with the given parametric equations. x=t+6 y=2t-4 Monday, March 3, 2014 at 5:48pm Pre-Calculus Write Parametric equations of -3x+1/2y=2 Monday, March 3, 2014 at 5:46pm Pre-Calculus A 15N force acting at 15 degrees north of east and a 18N force acting at 79 degrees north of west act concurrently on an object. What is the magnitude and direction of a third force that produces equilibrium on the object? Show sketch and work. ------ x-component:: 15*cos(15 ... Monday, March 3, 2014 at 5:44pm pre calculus solve nonlinear inequality x^4 > x^2 Monday, March 3, 2014 at 12:38am calculus Skeletal remains had lost 70% of the C-14 they originally contained. Determine the approximate age of the bones. (Assume the half life of carbon-14 is 5730 years. Round your answer to the nearest whole number.) Sunday, March 2, 2014 at 9:21pm Calculus Help Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2000. (I didnt put the table here because it will not display well so the table has basically t as time from 1950 to 2000 and P(t) values... Sunday, March 2, 2014 at 6:57pm Pre-Calculus Find N if log base 6 (6^7.8)=N Sunday, March 2, 2014 at 5:51pm Pre-Calculus Phil Dawson is a professional place kicker for the Cleveland Browns. On average, he kicks the ball at a 41 degree angle with an initial speed of 70 feet per second. For future reference, goal posts are 10 feet high in the NFL. a) Write parametric equations to model Dawson'... Friday, February 28, 2014 at 8:56pm Pre-Calculus Write Parametric equations of -3x+1/2y=2 Friday, February 28, 2014 at 8:49pm Pre-Calculus Jake serves a volleyball with an initial velocity of 32 feet per second from 4.5 feet above the ground at an angle 0f 35 degrees. a) Write parametric equations to model the situation. b) How far will the ball travel( if it hits the ground)show work Friday, February 28, 2014 at 8:47pm Calculus Please help! The linearization at a=0 to sqrt(1+2x) is A+Bx where A is____ and where B is _____? A=? B=? Ty Friday, February 28, 2014 at 8:20pm Calculus Please help! The differential of the function y=(x^2+6)^3 is dy=______dx. When x=2 and dx=0.05, the differential dy=_______? A) dy=______dx? B) the differential dy=_______? Friday, February 28, 2014 at 8:19pm Calculus Please help! Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 24 feet high? Recall that... Friday, February 28, 2014 at 3:10pm Calculus Please help! At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 3 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) Friday, February 28, 2014 at 3:02pm Calculus Please help! The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 3500 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7000 centimeters and the area is 87000... Friday, February 28, 2014 at 2:51pm Calculus Help Use f(x)= 1/(square root(x)+1) to answer the following; -- Use the difference quotient f'(x)=lim z->x (f(x)-f(z))/ (x-z) to find f'(x)! Please show steps!!! Thank you!!! Friday, February 28, 2014 at 12:31pm calculus Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph. a)f(x)=|x2 +x-2| Friday, February 28, 2014 at 3:32am Calculus q = f(p) = 10300e^−0.34p a) Find the number of products sold when the price of the product is$5. (Round your answer to the nearest whole number.) Number of products sold: b) Find a formula for the rate of change in the number of products sold when the price is p dollars...
Thursday, February 27, 2014 at 10:11pm

Calculus Help
Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2000. How would it be possible to get more accurate values for P'(t).
Thursday, February 27, 2014 at 5:06pm

calculus
Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph. f(x)= x^2-6x/(x+1)^2
Thursday, February 27, 2014 at 2:47pm

calculus
Find the asymptote, interval of monotonicity, critical points, the local extreme points, intervals of concavity and inflection point of the following functions. Sketch the graph. a)f(x)=|x2 +x-2|
Thursday, February 27, 2014 at 2:43pm

calculus I
Find the dimension of the right circular cylinder of the largest volume that can inscribed in a Sphere of radius 10 units.
Thursday, February 27, 2014 at 11:48am

Business Math
A local Barnes and Noble paid a $79.33 net price for each calculus textbook. The publisher offered a 10% trade discount. What was the publisher’s list price? (Round your answer to the nearest cent.) Thursday, February 27, 2014 at 1:14am math- calculus You will often see proj (Vector a onto Vector b) written as projb⃗ a⃗ .Show that projb⃗ a⃗ =(a⃗ ⋅b⃗/ b⃗ ⋅b⃗ )*b⃗ . Wednesday, February 26, 2014 at 8:11pm ap calculus.linear i dont clearly understand questions 1 and 2. so the question have to be A+f??? When he was young, Captain Conundrum mowed lawns on weekends to help pay his college tuition bills. He charged his customers according to the size of their lawns at a rate of 5¢ per square foot... Wednesday, February 26, 2014 at 3:11am Calculus Help Please!!! if f(x)= x+(1/x), find f'(x) using the limit definition of derivative. Please show steps!!! Thank you!!! Tuesday, February 25, 2014 at 7:18pm Calculus Evaluate the integral: (cos(2-3x) - tan(5-3x))dx Monday, February 24, 2014 at 7:23pm Calculus A ladder 25 feet long that was leaning against a vertical wall begins to slip. Its top slides down the wall while its bottom moves along the lever ground at a constant speed of 4 ft/sec. How fast is the top of the ladder moving when it is 20 feet above the ground? Monday, February 24, 2014 at 4:13pm calculus h(t)=tan theta (5pie/3,3pie) graph the function on the given interval Monday, February 24, 2014 at 3:12pm calculus Consider the function f(x)=x^n for positive integer values of n. (a) For what values of n does the function have a relative minimum at the origin? (b) For what values of n does the function have a point of inflection at the origin? Monday, February 24, 2014 at 2:27am calculus h(t) = -1/3t^3 + 4t^2 + 20t +2, f or >- 2 Sunday, February 23, 2014 at 7:13pm calculus Find the slope of the tangent line to the graph y = x-3 at the point (0.5, 8). Answer -48 -12 4 16 Sunday, February 23, 2014 at 3:00pm calculus Describe the slope of the tangent line to the curve defined by x 2 + xy - y 2 = 5 when x = 2. positive negative zero undefined Sunday, February 23, 2014 at 2:31pm calculus Find the equation of the tangent line to the ellipse x 2 + 4y 2 = 25 when x = 3 and y < 0. Answer 3x - 8y = 7 3x - 8y = 25 3x + 8y = 7 3x + 8y = 25 Sunday, February 23, 2014 at 2:25pm calculus Solve for x: r(x)=ln (x+2/x-1) Sunday, February 23, 2014 at 1:04pm Pre-calculus C=80,000p/(100-p) A)what happens of the company tries to remove 100 percent of the pollutants? Will it work or will it cost too much? B)draw a diagram to show what the consequences of the last question would be. Label the verticals asymptote(s) and analyze their impact on the ... Friday, February 21, 2014 at 11:39pm Calculus Please help! If 7000 dollars is invested in a bank account at an interest rate of 7 per cent per year. A) Find the amount in the bank after 6 years if interest is compounded annually? B) Find the amount in the bank after 6 years if interest is compounded quaterly? C) Find the amount in the... Friday, February 21, 2014 at 11:29pm Calculus Please help! Use implicit differentiation to find the slope of the tangent line to the curve at the point (1,3) -4x^2+4xy-2y^3=-46 m=____? ty guys so much! Friday, February 21, 2014 at 11:27pm Calculus ¡ìdx/(x^2-1)^2 Friday, February 21, 2014 at 10:30am Calculus ¡ì(up:1 down:0) (x^3 dx)/(x^2+2x+1) Friday, February 21, 2014 at 9:46am Calculus y"-y'=sin x solve in undetermined coefficients Friday, February 21, 2014 at 7:47am Calculus xy'-y=2xlnx Thursday, February 20, 2014 at 10:20pm Calculus lim([-1/(x+2)]+1/2)/x as x->0 Thursday, February 20, 2014 at 6:11pm calculus #3 A solid has a base in the form of the ellipse: x^2/25 + y^2/16 = 1. Find the volume if every cross section perpendicular to the x-axis is an isosceles triangle whose altitude is 6 inches. #4 Use the same base and cross sections as #3, but change the axis to the y-axis. Thursday, February 20, 2014 at 3:19pm Math (pre calculus) ax+b/cx+d=2 solve for x Thursday, February 20, 2014 at 12:58pm calculus ax+b/cx+d=2 solve for x Thursday, February 20, 2014 at 12:32pm Calculus x dy/dx +2y=1 Thursday, February 20, 2014 at 10:10am calculus Surface area of revolution y=(x^3)+3 about the x-axis from (0,1) Wednesday, February 19, 2014 at 8:14pm Calculus Help The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter your answer using interval notation.) Wednesday, February 19, 2014 at 4:48pm Finite Math and Applied Calculus Betty Sue sets up a retirement account. For the first 35 years, she deposits$500 at the end of each month into an account with an annual interest rate of 3.6%, compounded monthly. Then, she stops making monthly payments and transfers the money into a di fferent account ...
Wednesday, February 19, 2014 at 3:02pm

Calculus
Integral of dx/{(x+1)sqrt(x^2+4x+2)} is given as -arcsinh{(x+2)/(xsqrt3)}, but I am not getting it.? The hint given is 'Put 1/(x+1)=t' Using it, the expression reduces to Int. -1/sqrt(1+2t-t^2). How to proceed further to get the desired result?
Wednesday, February 19, 2014 at 2:30am

Calculus
A holding pen for fish is to be made in the form of a rectangular solid with a square base and open top. The base will be slate that costs $4 per square foot and the sides will be glass that costs$5 per square foot. If the volume of the tank must be 50 cubic feet, what ...
Monday, February 17, 2014 at 10:47pm

Calculus
The half-life of radioactive strontium-90 is approximately 31 years. In 1960, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 11 percent of the ...
Monday, February 17, 2014 at 9:35pm

Calculus II - Trapezoidal Rule
Find the error resulting from approximation by Trapezoidal Rule: integral (from 0 to 1) sqrt(1+ x^3) dx .... compute the results for n=8
Monday, February 17, 2014 at 5:01pm

Calculus
I need help finding the derivative of √3x/(x^2-4) at x=3
Monday, February 17, 2014 at 4:59pm

Calculus II - Simpson's Rule
Find the Error resulted from approximation by Simpson's Rule: integral (from 0 to 1) sqrt( 1+x^3) dx ... compute the result for n=8
Monday, February 17, 2014 at 4:59pm

Calculus II
show that; given any three non-collinear points (x1,y1), (x2,y2), (x3,y3) there is a parabola p(x)=Ax^2+ Bx + c , containing the three points.
Monday, February 17, 2014 at 2:14pm

Calculus, Surface Area Pt.2
The base costs 0.9 cents/square cm, the front costs 0.8 cents/square cm and the sides and back cost 1.3 cents/square cm. The cost of the material to make the box is : Cost = ?
Monday, February 17, 2014 at 11:13am

Calculus, Surface Area Pt.2
The base costs 0.9 cents/square cm, the front costs 0.8 cents/square cm and the sides and back cost 1.3 cents/square cm. The cost of the material to make the box is : Cost = ?
Monday, February 17, 2014 at 11:12am

Calculus, Surface Area
An open rectangular box (no top) has a square base with side 10 cm and height 16 cm. The surface area is:
Monday, February 17, 2014 at 11:09am

Calculus
integral(8&4) y dy/(y^2-2y-3)
Monday, February 17, 2014 at 7:57am

Calculus
What is the integral of [(2x-y)^2]dx?
Sunday, February 16, 2014 at 10:43pm

Calculus
What is the integral of [(2x-y)^3]dx?
Sunday, February 16, 2014 at 10:28pm

Calculus
Sorry for all of the questions.. if f'(x) exists for all x and f(-1)=-12 and f(5)=12, then for at least one value of c where -1<c<5, what must be true? a) f'(c)=4 b) f'(c)=-4 c)f(c)=14 d)f(c)=-14 e) f'(c^2)=64
Sunday, February 16, 2014 at 11:53am

Calculus
A car traveling at 72 mph starts braking and decelerates at a constant rate. the car takes 1/9 of a mile to stop. Find, to the nearest half-second, how long it took the car to cover the 1/9 of a mile. I don't need the whole thing done. Just don't know how to start!
Sunday, February 16, 2014 at 11:37am

Calculus
The figure at the right consists of a rectangle topped by an isosceles right triangle. The area of the figure is 200 sq. feet. The minimum perimeter of the figure is ___ft.
Sunday, February 16, 2014 at 11:24am

pre calculus
Slove: 2logbase5(x+2) = 2 + log base5(x-2)
Saturday, February 15, 2014 at 8:53pm

Calculus
Line l is tangent to the graph of y= x - x²/500 at point Q & it crosses the y-axis at (0, 20) a). Find the x-coordinate of point Q b. Write an equation for line l c) Suppose the graph of y=x-x^2/500, where x and y are measured in feet, represents a hill. There is a 50-...
Saturday, February 15, 2014 at 6:25pm

Calculus 3
If the curve of intersection of the parabolic cylinder y = x^2 and the top half of the ellipsoid x^2 + 5y^2 + 5z^2 = 25. Then find parametric equations for this curve.
Saturday, February 15, 2014 at 1:05am

Calculus
How to find x-intercepts from x(x-2)(x+2)?
Friday, February 14, 2014 at 1:48pm

Calculus
Let h(x) = 5g(x) - 3x^2 + 2 sin(x) - 7x, and suppose g'(0) = 2, find h'(0)
Thursday, February 13, 2014 at 11:47pm

Calculus
The position of a function of a moving particle is s(t)=5+4t-t^2 for 0<t<10 where s is in meters and t is measured in seconds. What is the maximum speed in m/sec of the particle on the interval [0,10]?
Thursday, February 13, 2014 at 3:03pm

Calculus
Let f be the function defined by f(x)=x^3 + x. If g(x)= the inverse of f(x), and g(2)=1, what is the value of g'(2)?
Thursday, February 13, 2014 at 3:00pm

Calculus-Help Please
Find a function f(x), perhaps a piecewise function that is defined but not continuous on (-infinity, infinity) for which the function lf(x)l is both defined and continuous on (-infinity, infinity). f(x)= lf(x)l =
Wednesday, February 12, 2014 at 2:14pm

Calculus I
If x^2+y^2=25, find dy/dt when x=3 and dx/dt= -8.
Wednesday, February 12, 2014 at 9:57am

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