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Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Post a New Question | Current Questions

calculus
Find derivative(use logrithmic functions). y=x^-cosx
Sunday, March 14, 2010 at 8:53pm

Calculus
suppose that f(5)=5 and the limit as x->5 is 4f(x)-20/(x-5)(x+5)=10 find derivative of the function.
Sunday, March 14, 2010 at 8:49pm

Calculus
need answer to find dy/dx y=e^2x+3*e^x-1
Sunday, March 14, 2010 at 8:30pm

Calculus
Need the answer to find dy/dx y=(1+cos^4(t/12))^3
Sunday, March 14, 2010 at 8:22pm

Calculus
Dy/dx of e^4square root of x
Sunday, March 14, 2010 at 8:06pm

Calculus
Dy/dx of e^4square root of x
Sunday, March 14, 2010 at 8:02pm

Precalculus
Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros show work please
Sunday, March 14, 2010 at 1:38pm

Precalculus
Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros
Sunday, March 14, 2010 at 1:25pm

calculus
A cold metal bar at -30 degrees Celsius is submerged in a pool maintained at a temperature of 40 degrees Celsius. Half a minute later, the temperature of the bar is 20 degrees Celsius. How long will it take the bar to attain a temperature of 30 degrees Celsius? I know that dy/...
Sunday, March 14, 2010 at 4:31am

pre-calculus
Also with calculator, graph f(x), and determine all the possible maxima/minima coordinates to within two decimal points. f(x)=x^3+2x^2-x-2/x^2+x-6 i did this and got my answers but i doubt they are right, can anyone get the answers if you have a TI-83-84 please? thank you.
Saturday, March 13, 2010 at 9:46pm

Calculus
how do you find the limit at infinity of: lim(x->infinity) (x+2)/sqrt(64 x^2+1) Do you first change the square root on denominator to (64x^2+1)^-1/2 and then divide everything by zero. Please help me with this, I'm confused.
Saturday, March 13, 2010 at 8:48pm

pre-calculus
the function has a real zero in the given interval. approximate this solution correct to two decimal places: f(x)=x^4-x^3-7x^2+5x+10; (2,3)
Saturday, March 13, 2010 at 8:35pm

calculus
How do you solve the initial value problem? (dy/dx)-2y+4=0, y(1)=4
Saturday, March 13, 2010 at 7:49pm

pre-calculus
form a polynomial f(x) with real coefficients having the given degree and zeros. degree: 4; zeros: -1, 2, and 1-2i. I got an exam tomorrow, i would appreciate any kind of help, thank you.
Saturday, March 13, 2010 at 4:18pm

Pre-calculus
Sorry i wrote the last question wrong, it was suppose to be written as: information is given about the polynomial f(x) whose coefficients are real numbers. find the remaining zeros of f: degree 4; zeros: i, 3+i
Saturday, March 13, 2010 at 4:13pm

pre-calculus
information is given about the polynomial f(x) whose coefficients are real numbers. find the real zeros of f: degree 4; zeros: i, 3+i
Saturday, March 13, 2010 at 2:19pm

pre-calculus
one solution of x^3-5x^2+5x-1=0 is 1. find the other two solutions.
Saturday, March 13, 2010 at 2:16pm

Calculus
When f(x)= 2/x (4th power) - 7/x (2nd power) + 5 find the derivative
Friday, March 12, 2010 at 8:54am

precalculus
an airplane flying at 550 miles per hour has a bearing of N 52(DEGREES)E. After flying 1.5 hours, how far north and how far east has the plane traveled from its point of departure?
Thursday, March 11, 2010 at 11:28pm

Calculus
Find the normals to the curve xy + 2x - y = 0 that are parallel to the line 2x + y = 0. I can find the normal lines and the slope but I don't know what I'm suppose to do with the line 2x + y = 0
Thursday, March 11, 2010 at 8:25pm

Calculus
Find the normals to the curve xy + 2x - y = 0 that are parallel to the line 2x + y = 0. I can find the normal lines and the slope but I don't know what I'm suppose to do with the line 2x + y = 0
Thursday, March 11, 2010 at 8:11pm

Precalculus
Number of possible turning points in the following equation f(x)=x^2(x-3)(x+4) are there 2 turning points or three turning points on the graph
Thursday, March 11, 2010 at 5:29pm

Precalculus(URGENT)
Number of possible turning points in the following equation f(x)=x^2(x-3)(x+4) show work please
Thursday, March 11, 2010 at 4:38pm

Precalculus
Rosea drives her car 30 kilometers to the train station, where she boards a train to complete her trip. The total trip is 120 kilometers. The average speed of the train is 20 kilometers per hour faster than that of the car. At what speed must she drive her car if the total tim...
Thursday, March 11, 2010 at 1:47pm

calculus/physics
A force of 10 pounds stretches a spring 2 inches. Find the work done in stretching this spring 3 inches beyond its natural length
Thursday, March 11, 2010 at 9:47am

calculus
Find the direction of A= <-5,12> I did arctan (12/-5) and added 180 because x was negative and got 105.13 degrees. I missed the question on the test though. What did I do wrong?
Wednesday, March 10, 2010 at 8:37pm

Math - Calculus
Show that the equation log y = 1.54 - .008x - .658 log x is equivalent to y = 34.7 (1.0186)^(-x) * x^(-.658)
Wednesday, March 10, 2010 at 7:38pm

Calculus
Find constants a,b and c such that the graph of f(x)=x^3+ax^2+bx+c will increase to the point (-3,18), decrease to the point (1,-14) and then continue increasing.
Wednesday, March 10, 2010 at 7:20pm

calculus
How do you find the area of the intersection of the circles r=sinx and r=cosx?
Wednesday, March 10, 2010 at 11:53am

calculus
Find an interval of t-values such that c(t)=(2t+1,4t-5) parametrizes the segment from (0,-7) to (7,7). What do you do???
Wednesday, March 10, 2010 at 9:37am

calculus
How do you prove that the total area of a four-petaled rose r=sin2x is equal to one-half the area of the circumscribed circle?
Wednesday, March 10, 2010 at 9:33am

Precalculus
Suppose f is a function with exponential decay. Explain why the function g defined by g(x)=1/f(x) is a function with exponential growth. PLEASE HELP!!
Wednesday, March 10, 2010 at 1:37am

Precalculus
Explain why there does not exist a point on the horizontal axis whose distance from (5,4) equals 3. HELP!!
Wednesday, March 10, 2010 at 12:23am

Precalculus
Find two points, one on the horizontal axis and one on the vertical axis, such that the distance between these two points equals 15. NEED HELP PLEASE!!
Tuesday, March 9, 2010 at 11:06pm

Calculus - another question
"The side of an equilateral triangle decreases at the rate of 2 cm/s. At what rate is the area decreasing when the area is 100 cm^2?" Help!
Tuesday, March 9, 2010 at 10:28pm

Calculus
"A rectangle is inscribed in a semicircle of radius 2 cm. Find the largest area of such a rectangle". There is a diagram, but I think the question makes it clear enough what is going on. I'm having problems finding a relationship that I can work with.
Tuesday, March 9, 2010 at 10:25pm

pre-calculus
Graph each complex number. Then express it in rectangular form. 2(cos(4pi/3) + isin(4pi/3)) I don't understand where to go from here.
Tuesday, March 9, 2010 at 7:21pm

Calculus
Determine the convergence or divergence: An=(-1)^n(n/(n+1))
Tuesday, March 9, 2010 at 5:33pm

Calculus
4. Find the dimensions of the largest isosceles triangle having a perimeter of 18 cm. Answer ( all sides 6 cm) i really need help with coming up with the equation of the function before solving its derivative and making it equal zero so far i know 2x+y=18
Tuesday, March 9, 2010 at 5:25pm

PreCalculus
I'm unsure how to even start this problem Solve for x: Arctan( -4/5 ) + Arcos (2/SQRT(5) ) = Arctan(x)
Tuesday, March 9, 2010 at 8:40am

Precalculus
I have posted this question earlier as well but was unable to receive an answer. I don't know how to do this question at all, so PLEASE help me with this question and also show me the steps, so that I can learn. I would appreciate it a lot. A high sound level of 120 dB is ...
Tuesday, March 9, 2010 at 8:33am

Precalculus
A line segment has endpoints A=(1,3) and B=(13,19). a) Find the equation of the circle for which the segment AB is a diameter. Ans: (x - 7)^2 + (y - 11)^2 = 100 b) Accurate to the nearest tenth, the circumference of this circle is _______ ? I was able to find a)the equation bu...
Tuesday, March 9, 2010 at 8:20am

Calculus
A point moves along the curve y=(x-2)^2 such that the x coordinate is increasing at 2 units per second. At the moment x=1, how fast is its y coordinate changing.
Tuesday, March 9, 2010 at 12:32am

Calculus
The edge of a cube is increasing at a rate of 2 inches per minute. At the instant when the volume is 27 cubic inches, how fast is the volume changing? indicate the units of measure. V=x^3
Tuesday, March 9, 2010 at 12:31am

Calculus
If y=ln((3x+2)^6(x+10)^3), then dy/dx=
Tuesday, March 9, 2010 at 12:30am

calculus
alice is flying a kite. Her hand is three feet above ground level and is holding the end of a 300-foot-long kite, which makes an angle of 57 degrees with the horizontal. How high is the kite above the ground?
Monday, March 8, 2010 at 11:00pm

precalculus
find the exact value: cos^-1 (square root of 2 divided by 2)
Monday, March 8, 2010 at 10:40pm

Pre Calculus
complete the identity: sin^4 x-cos^4 x
Monday, March 8, 2010 at 10:32pm

Calculus
Please help me with this problem: Find the number c that satisfies the conclusion of the Mean Value Theorem. f(x) = x/(x + 4) [1, 8] i got to f'(x)= 4/(x+4)^2=(-1/60).
Monday, March 8, 2010 at 12:02am

calculus
Evaluate lim as x-> 0 square root (x+1) - square root (2x+1) / square root (3x+4) - square root (2x+4)
Sunday, March 7, 2010 at 9:48pm

calculus
Point P(a,b) is on the curve square root of x + square root of y =1. Show that the slope of the tangent at P is : - square root of (b/a).
Sunday, March 7, 2010 at 9:46pm

AP Calculus
Find the differential of: y = u*cos(u) I'm trying to submit my homework to webassign, and I got -usin(u)+cos(u)du and it said i was wrong, please help me out, thank you.
Sunday, March 7, 2010 at 9:36pm

Calculus
Find the number c that satisfies the conclusion of the Mean Value Theorem. f(x) = x/(x + 4) [1, 8]
Sunday, March 7, 2010 at 9:33pm

Precalculus(NEED HELP ASAP PLEASE!!)
NEED HELP ASAP PLEASE!! A high sound level of 120 dB is regarded as the threshold of pain for the average listener. If the threshold of hearing is 10^−12 watts/m^2, then the intensity of the sound corresponding to 120 dB is ____________ watts/m^2.
Sunday, March 7, 2010 at 6:32pm

calculus
evaluate the integral: (x^3)/((x^2)+1)
Sunday, March 7, 2010 at 4:39pm

calculus
Differentiate and simplify completely. [x^2(1-x)^3] / [(1+x)^3]
Sunday, March 7, 2010 at 3:35pm

calculus
Given F(x) = ax+3, x>5 8 , x=5 x^2 + bx + a, x<5 Find a and b so that f(x) is continuous everywhere.
Sunday, March 7, 2010 at 3:34pm

calculus
Point P(a,b) is on the curve square root of x + square root of y =1. Show that the slope of the tangent at P is : - square root of (b/a).
Sunday, March 7, 2010 at 3:33pm

calculus
Evaluate lim as x-> 1 (x^2 + |x -1| - 1 ) / ( |x-1| )
Sunday, March 7, 2010 at 3:32pm

calculus
Evaluate lim as x-> 0 square root (x+1) - square root (2x+1) / square root (3x+4) - square root (2x+4)
Sunday, March 7, 2010 at 3:31pm

calculus
Given the position function of an object moving in a straight line, measured in meters, from the origin. Describe the motion in all phases throughout the duration of the motion from time t=0 to t=11 sec. s(t)=t^3 - 15t^2 + 50t State when the object is moving forward or backwar...
Sunday, March 7, 2010 at 3:29pm

calculus
Find the derivative of the function. (y^2/(y+3))^3
Saturday, March 6, 2010 at 8:12pm

calculus
find the derivative of g(y)= (y^2/(y+3))^3
Saturday, March 6, 2010 at 8:08pm

Calculus ( finding limits)
Find the limit as x-->-inf (x+2)^(3/2)+1 ----------I know that the answer is infinity but I don't know how to get this answer by hand. Could someone please help me? Thanks a lot!
Saturday, March 6, 2010 at 7:49pm

calculus
Find the limit for the given function. lim t-->0 (sin(8t))^2/t^2
Saturday, March 6, 2010 at 6:27pm

calculus
find the derivative of y= 3-secx/tanx
Saturday, March 6, 2010 at 4:37pm

Calculus
What's the integral of e^(1+i)x dx? Please provide the full solution because I don't understand how to do this question at all.
Saturday, March 6, 2010 at 3:55pm

Calculus
Find an equation of the tangent line to the curve at the given point. (Assume the tangent line form to be f(x) = mx + b.) y= e^x/x (1,e) I got m= 0 nd b=e could anyone tell if its right?
Saturday, March 6, 2010 at 2:53pm

Calculus
If √2cos(x)-1 = (1+√3)/2 and √2cos(x)+1 = (1-√3)/2, find the value of cos4x.
Friday, March 5, 2010 at 3:46am

Calculus
Find the value of tan2x, (pi/2)<x<pi, given secx=-5/4. So cosx=-4/5? I've no clue what to do next.
Friday, March 5, 2010 at 3:20am

calculus
Give the volume of the solid generated by revolving the region bounded by the graph of y=ln(x), the x-axis, the lines x=1 and x=e, about the y-axis
Thursday, March 4, 2010 at 7:19pm

calculus
Given f(x)=x^2-4 and g(x)=1-x and k(g(x))=f(x) find k(x) and then k'(x).
Thursday, March 4, 2010 at 6:14pm

Precalculus
NEED HELP ASAP PLEASE!! A savings account starts with $600 and pays 5% interest per year, compounded four times per year. a) A function that models the amount in dollars in the bank account after m years is A(m)=____________? b) How much will be in the savings account after 3 ...
Thursday, March 4, 2010 at 6:11pm

calculus
find the equationss of both tangenr lines to the curve defined by y=(1/x^2), x cannot equal 0 from the external point P(0,1). I tried but i got one equation. Can you please verify if it is: y=-0.38x-1. Thanks
Thursday, March 4, 2010 at 6:08pm

Precalculus
NEED HELP ASAP PLEASE!! A bacteria culture starts with 2000 bacteria and the population doubles every 3 hours. a) A function that models the number of bacteria after t hours is p(t)=____________? b) The number of bacteria present after 5 hours will be about _____ ? c) The popu...
Thursday, March 4, 2010 at 6:07pm

calculus
find the equationss of both tangenr lines to the curve defined by y=(1/x^2), x cannot equal 0 from the external point P(0,1). I tried but i got one equation. Can you please verify if it is: y=-0.38x-1. Thanks
Thursday, March 4, 2010 at 5:56pm

calculus
find f' for each of the following where g and k are differentiable functions. F= g{sq.rt. of k(x^2)}
Thursday, March 4, 2010 at 5:04pm

Calculus
Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)
Thursday, March 4, 2010 at 3:18pm

calculus
Find an equation of the plane orthogonal to the line (x,y,z)=(-4,-9,9)+t(-8,-1,5) which passes through the point (-9,9,-4). Give your answer in the form ax+by+cz=d.
Thursday, March 4, 2010 at 11:50am

Calculus
Find an equation of the tangent plane (in the variables x, y and z) to the parametric surface r(u,v) =(2u, 3u^2+5v, -4v^2) at the point (0,-10,-16)
Thursday, March 4, 2010 at 9:27am

calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...
Thursday, March 4, 2010 at 2:03am

calculus
if F(x)=f(g(x)), where g(2)=4, g'(2)=3, and f'(4)=5, find F'(2)
Wednesday, March 3, 2010 at 10:11pm

math- pre calculus
you are depositing $1000 dollars in a savings account and are given the following options. 6.2% annual interest rate, compounded annually 6.1% annual interest rate, compounded quarterly 6.0% annual interest rate, compounded continuously for each option, write a function that g...
Wednesday, March 3, 2010 at 9:36pm

calculus
Describe all of the different ways a function may not be differentiable at the point P (a,f(a)).
Wednesday, March 3, 2010 at 9:34pm

calculus
Given f(x) = 2(x^(5/3)) - 5(x^(2/3)) Find the slope of the tangent at each x-intercept
Wednesday, March 3, 2010 at 9:33pm

calculus
Find f' for each of the following where g and k are differentiable functions: f=(g^3)(k^2)
Wednesday, March 3, 2010 at 8:24pm

calculus
Let f(x)=x+4 and g(x)=(x-2)^2. Find u(x) so that f(g(u(x)))=4x^2 - 8x +8.
Wednesday, March 3, 2010 at 8:10pm

calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...
Wednesday, March 3, 2010 at 4:24pm

Precalculus
I REALLY NEED HELP WITH THIS QUESTION, PLEASE HELP!! Give an example of a logarithmic function g, which has a vertical asymptote x = –2, and passes through the origin.
Wednesday, March 3, 2010 at 12:42pm

Precalculus
Please help me with these questions ASAP!! Suppose that f(x)=log3(x-1) a)If f(6)=1.4 and f(8)=1.7,then evaluate log3(35) and log3(7/5). b)If f(3)=0.6, find log9(2).
Wednesday, March 3, 2010 at 11:48am

calculus
prove cos squared B- sin squared B= 2cos squared B -1
Tuesday, March 2, 2010 at 11:37pm

Calculus
How do you take the derivation of the following function and equate to zero? sqrt of (100t^2-320t+400).
Tuesday, March 2, 2010 at 9:38pm

calculus
How do I integrate 1-e^-kt from 0 to infinity?
Tuesday, March 2, 2010 at 9:14pm

Calculus
The manager of a 100 unit apartment complex knows from experience that all units will be occupied if the rent is $500 per month. A market survey suggests that, on average, one additional unit will remain vacant for each $10 increase in rent. What rent should the manager charge...
Tuesday, March 2, 2010 at 2:22pm

Calculus
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1.4 m/s, how fast is the boat approaching the dock when it is 9 m from the dock?
Tuesday, March 2, 2010 at 11:47am

calculus
Find the slope of the tangent line to the graph of the function at the given point. g(x) = 3 x + 4, (-4, 1)
Tuesday, March 2, 2010 at 12:28am

Calculus
A voltage V across a resistance R generates a current I=VR. If a constant voltage of 4 volts is put across a resistance that is increasing at a rate of 0.3 ohms per second when the resistance is 4 ohms, at what rate is the current changing? (Give units.)
Monday, March 1, 2010 at 9:48pm

Calculus
At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship B is sailing north at 17 knots. How fast (in knots) is the distance between the ships changing at 5 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
Monday, March 1, 2010 at 9:27pm

Calculus
A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude of 8 km and climbs at an angle of 20 degrees. At what rate, in km/min, is the distance from the plane to the radar station increasing 2 minutes later?
Monday, March 1, 2010 at 9:26pm

Precalculus(URGENT)
g(x)=1-5x if the domain of the function of g is {x-3 is less than or equal to x which is less than or equal to 2} what is the smallest value of the range show work please
Monday, March 1, 2010 at 8:43pm

calculus
Does any tangent to the curve y=ãx cross the x-axis at x= -1? If so, find an equation for the line and the point of tangency. If not, why not?
Monday, March 1, 2010 at 8:03pm

Precalculus(URGENT)
determine the domain of the function and express in interval notation square root of x-9 =y show work
Monday, March 1, 2010 at 5:16pm

Precalculus
Write the equation an absolute value function is shifted up 2 units shifted right 3 units and horizontally stretched by 5
Monday, March 1, 2010 at 4:21pm

Precalculus
determine the domain of the function and express in interval notation square root of x-9 =y show work
Monday, March 1, 2010 at 4:19pm

Precalculus
let the function g be defined by g(x)=1-5x if the domain of the function of g is {x-3 is less than or equal to x which is less than or equal to 2} what is the smallest value of the range show work please
Monday, March 1, 2010 at 4:17pm

Calculus
Find the derivative of the function: y=(3x^2+5) ln(x+6)
Monday, March 1, 2010 at 2:18pm

Calculus
A poster is to have an area of 170 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Monday, March 1, 2010 at 12:24pm

Calculus
A system of equations is given by: F1(x,y,a,b) = x² + bxy + y² - a – 2 = 0 F2(x,y,a,b) = x² + y ² - b² + 2a + 3 = 0 Where x and y are endogenous variables while a and b are exogenous variables. Compute the differentials δx/δb and δ...
Monday, March 1, 2010 at 10:51am

Precalculus
PLEASE HELP ME WITH THESE QUESTION AS MUCH AS POSSIBLE!! Evaluate without a calculator. Give exact answers: a) log(log(10)) = ? b) square root (log(100)) - log(square root(100)) = ? c) log((square root 10^3)(square root 10^5)(square root 10) = ? d) 1000^log(3) = ? e) log(1/log...
Monday, March 1, 2010 at 12:43am

calculus
Find an equation of the tangent line to the curve at the given point. y= (9x)/(x+1)^2 P = (0,0)
Sunday, February 28, 2010 at 9:20pm

Precalculus
How do you find cos(sin ^-1 1.414/2)?
Sunday, February 28, 2010 at 7:07pm

calculus
find derivative of (8sqrt(x)+(9/2root3(x)))^2
Sunday, February 28, 2010 at 6:10pm

calculus plzz help!!!
Differentiate the following function. ((8x^1/2)+(9/2x^1/3))^2
Sunday, February 28, 2010 at 5:23pm

calculus
why is lim of tanx as x approaches to (pie/2)+ is negative infinity. Shouldnt it be positive infinity since pie/2 is approaching on the right
Sunday, February 28, 2010 at 5:15pm

calculus
Differentiate the following function. (7x-5)(3x+9)
Sunday, February 28, 2010 at 4:55pm

calculus
You are given the following function. f(x)= (8+x)/(1-8x) (a) Find the derivative of the function using the definition of derivative. (b) Give the domain of the function. c) Give the domain of derivative of function?
Sunday, February 28, 2010 at 3:28pm

precalculus
The question is...find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Then it gives the radius r of 27 inches and an arc length s of 6 inches. How do I do that?
Sunday, February 28, 2010 at 3:24pm

calculus
The limit represents the derivative of some function f at some number a. Select an appropriate f(t) and a. lim_(t->1)(t^3+t-2)/(t-1) 1f(t) = t^3, a = 1 f(t) = t^3 + t, a = 1 f(t) = t - 2, a = 1 f(t) = t - 2, a = -1 f(t) = t^3 + t, a = -1 f(t) = t^3, a = -1 none of these
Sunday, February 28, 2010 at 2:18pm

Calculus
Find f '(a). f(x) = (x^2+1)/(x-6)
Sunday, February 28, 2010 at 1:00pm

Calculus
Find the partial derivative y with respect to s for the following function: y=[((x1)^2)+(x1)(x2)+((x2)^2)]/((x1)+(x2​)) where x1=s+2 and x2=s^2+t^2+t . x1 means x subscript 1 x2 means x subscript 2
Sunday, February 28, 2010 at 9:11am

Calculus
A system of equations is given by: F1(x,y,a,b) = x² + bxy + y² - a – 2 = 0 F2(x,y,a,b) = x² + y ² - b² + 2a + 3 = 0 Where x and y are endogenous variables while a and b are exogenous variables. Compute the differentials δx/δb and δy...
Sunday, February 28, 2010 at 9:08am

Calculus
Solve identity, (1-sin2x)/cos2x = cos2x/(1+sin2x) I tried starting from the right side, RS: =(cos²x-sin²x)/(1+2sinxcosx) =(cos²x-(1-cos²x))/(1+2sinxcos​x) and the right side just goes in circle. May I get a hint to start off?
Saturday, February 27, 2010 at 11:22pm

calculus
f(x)= - (4x^2/3)/((x^2/3)-2) f'(x)=? a. -(4/(((x^2/3)-2)^2) b. -4 c. 16/((3cube rootx)((x^(2/3)-2)^2) d. ((-16/3cuberootx)+(16/ (3cuberootx)))/((x^(2/3)-2)^2)
Saturday, February 27, 2010 at 5:05pm

Calculus
A system of equations is given by: F1(x,y,a,b) = x² + bxy + y² - a – 2 = 0 F2(x,y,a,b) = x² + y ² - b² + 2a + 3 = 0 Where x and y are endogenous variables while a and b are exogenous variables. Compute the differentials δx/δb and δy...
Saturday, February 27, 2010 at 4:46pm

Calculus
If f(x)=e^(x+5lnx) find f'(4), correct to two decimal places.
Saturday, February 27, 2010 at 3:54pm

Calculus
If f(x)=3e^x+6x^e find f'(x).
Saturday, February 27, 2010 at 3:53pm

Calculus
Find the slope of the tangent line to the graph of the function f(x)=x*e^x at x=3 correct to two decimal places.
Saturday, February 27, 2010 at 3:51pm

Calculus
How do i find the derivative of f(t)= 20- 30/rooot 9 + t^2 heres how i did it f'(x)= 20' - 30/root(9+t^2) ' = 0 - 30/root(9+t^2) ' (Quotient rule) f'(x)= 30' (root(9+t^2) - 30(root(9+t^2) ' f'(x)= -30(0.5(9+t^2)^-0.5) (2t) the answer at the back...
Saturday, February 27, 2010 at 3:03pm

Calculus
Find the total derivative dz/dt, given z=f(x,y,t) where x=a+bt and y=c+dt
Saturday, February 27, 2010 at 2:11pm

Calculus
Find the partial derivative y with respect to s for the following function: y=[((x_1)^2)+(x_1)(x_2)+((x_2)^2)]/((x_1​)+(x_2)) where x_1=s+2 and x_2=s^2+t^2+t . The underscore (_) stands for subscript
Saturday, February 27, 2010 at 2:10pm

Calculus
Represent the function f(x)= 10ln(8-x) as a Maclaurin series and Find the radius of convergence
Saturday, February 27, 2010 at 5:30am

Calculus
A piece of wire 24 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (Give your answers correct to two decimal places.) (a) How much wire should be used for the circle in order to maximize the total area? (b) How much wire shou...
Friday, February 26, 2010 at 12:11pm

Calculus
Represent the function f(x)=10ln(8-x) as a Maclaurin series. sum_{n=0}^infty (c_n) (x^n) The coefficients are C_0= 10ln8 C_1=-10/(8) C_2=-10/128 C_3=-20/3072 C_4=-60/98304 FIND THE RADIUS OF CONVERGENCE: R=?
Friday, February 26, 2010 at 9:55am

calculus
Water is being pumped into an inverted conical tank at a constant rate. The tank has height 13 meters and the diameter at the top is 5.5 meters. If the water level is rising at a rate of 29 centimeters per minute when the height of the water is 2 meters, find the rate at whic...
Thursday, February 25, 2010 at 7:30pm

calculus
Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 cubic centimeters per second. How fast is the surface area of the balloon increasing when its radius is 8 cm?
Thursday, February 25, 2010 at 6:15pm

calculus
A plane flying with a constant speed of 23 km/min passes over a ground radar station at an altitude of 5 km and climbs at an angle of 35 degrees. At what rate, in km/min is the distance from the plane to the radar station increasing 7 minutes later?
Thursday, February 25, 2010 at 6:10pm

calculus
this question is a multiple choice question, however i dont know how to start or finish it. The solution set of |3x+2|<1 contains... i need help trying to figure out how to solve for x. other then that i believe i could answer the question.
Thursday, February 25, 2010 at 5:22pm

Calculus
Let me try to ask this question a different way: 4x^2+2x+xy=12 and y(2)=-4 find y(prime)(2) by implicit differentiation. I can differentiate it to 8x+2+y+xy(prime)=0 I don't know what to do with the y(2)=-4 after this point.
Thursday, February 25, 2010 at 3:35pm

Calculus
Represent the function f(x)=10ln(8-x) as a Maclaurin series. sum_{n=0}^infty (c_n) (x^n) The coefficients are C_0= 10ln8 C_1=-10/(8) C_2=-10/128 C_3=-20/3072 C_4=-60/98304 FIND THE RADIUS OF CONVERGENCE: R=?
Thursday, February 25, 2010 at 10:07am

Calculus
What's the antiderivative of x(2x-6)^(1/2)?
Thursday, February 25, 2010 at 12:12am

Calculus
If f(2)=3 and f'(2)=5, find an equation of a. The tangent line b. The normal line to the graph of y=f(x) at the point where x=2 So I plotted (2,3) and (2,5)...but that's not getting anywhere... Thanks
Wednesday, February 24, 2010 at 8:47pm

calculus
f'(x) of f(x)= 4e^x/1-e^x
Wednesday, February 24, 2010 at 8:15pm

calculus
This limit represents the derivative of some function f at some number a. Select an appropriate f and a. 1f(x) = x4, a = 4 f(x) = x1/4, a = 4 f(x) = x1/4, a = 256 f(x) = ãx, a = 256 f(x) = ãx, a = 16
Wednesday, February 24, 2010 at 7:01pm

calculus
A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 9. f(t) = t ^-1 - t
Wednesday, February 24, 2010 at 7:00pm

calculus
Consider the function below. g(x) = 2 - x^3 (a) Find g'(0). (b) Use it to find an equation of the tangent line to the curve y = 2 - x^3 at the point (0,2).
Wednesday, February 24, 2010 at 6:56pm

Calculus
I saw this question asked, but I didn't understand the answer format. My prof doesn't use dx and dy after he has differentated the problem. He just uses (for example) 8x+2+y+xy(prime) The question is this: 4x^2+2x+xy=12 and y(2)=-4 find y(prime)(2) by implicit differen...
Wednesday, February 24, 2010 at 3:06pm

calculus
Posted by Paul on Friday, February 19, 2010 at 3:57am. I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? And what happens to the graph and to the value of the ...
Wednesday, February 24, 2010 at 11:13am

calculus II
I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? And what happens to the graph and to the value of the integral as N approaches infinity? Does the graph confi...
Wednesday, February 24, 2010 at 1:54am

Calculus
Find the derivative of the given function at the indicated point. (use f'(a)=lim [f(a+h)-f(a)]/h as h approaches 0) This is what I have so far: [1/(x+h) - 1/2]/h = [2 - (x+h)]/(h(x+h)(2)) = [2-x-h]/(h(x+h)(2)) ...and now I'm stuck. Help? Thx
Tuesday, February 23, 2010 at 10:32pm

calculus
differentiate y=x^2x. show all work
Tuesday, February 23, 2010 at 9:42pm

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