
Calculus
1) Find the derivative with respect to x of Integral from 1 to X^3 of sqrt( 1 + t²) dt I got sqrt( 1 + X^6) * 3x². Is that right? 2) Integral from 0 to pi/2 of Xcos(X²)dx
asked by Sam on December 5, 2007 
calc
find the area between the xaxis and the graph of the given function over the given interval: y = sqrt(9x^2) over [3,3] you need to do integration from 3 to 3. First you find the antiderivative when you find the antiderivative you plug in 3 to the
asked by mikayla on April 18, 2007 
Calculus
Find the volume of the solid whose base is the region in the xyplane bounded by the given curves and whose crosssections perpendicular to the xaxis are (a) squares, (b) semicircles, and (c) equilateral triangles. for y=x^2, x=0, and y=0 (a) integral
asked by Anonymous on December 15, 2007 
Calculus 2 (Differential Equation)
How would you solve the following problem explicitly? Sqrt(1y^2) dx  sqrt(1x^2) dy I separated the x and y terms and got: Integral of 1/sqrt(1x^2) dx = Integral of 1/sqrt(1y^2) dy I was wondering how would you take the antiderivative of each
asked by Rena on March 26, 2015 
Calc.
Evaluate the indefinite integral. Please check my work? Not sure if I am doing this correctly. S= integral symbol S x^3*sqrt(x^2 + 1) dx u = x^2+1 x^2= u  1 du = 2xdx du/2 = xdx 1/2 S x^2 * x sqrt (x^2 + 1) du 1/2 S (u  1) * sqrt (u) du multiply square
asked by CMM on January 27, 2011 
CALCULUS 2!!! PLEASE HELP!!
I'm having trouble with this question on arc length: y=lnx, (squareroot)3/3 greater than or equal to x less than or equal to 1 It sounds as if you want the length of the y = ln x curve from x = sqrt(3)/3 (0.57735..) to 1. The formula for the arc length of
asked by Krystal on October 19, 2006 
calc check: curve length
Find the length of the curve y=(1/(x^2)) from ( 1, 1 ) to ( 2, 1/4 ) [set up the problem only, don't integrate/evaluate] this is what i did.. let me know asap if i did it right.. y = (1/(x^2)) dy/dx = (2/(x^3)) L = integral from a to b for:
asked by COFFEE on July 2, 2007 
calculus
Find the length of the arc formed by y = (1/8)(4x^22ln(x)) from x=4 to x=8. I found the derivative of the function and got y'= x(1/4x) Where I'm lost now is after plugging it into the arc length equation: integral of sqrt(1+(x(1/4x))^2). Squaring the
asked by Arc Length on August 24, 2008 
Calculus
Find the derivative of the integral from 2 to 5x of (sqrt(1 + u^2))/u. My answer: (sqrt(1 + 25x^2)/5x) * 5
asked by Anonymous on February 15, 2017 
Calculus
A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 80 ft is given by the following. y = 150  (1/40)(x50)^2 Find the distance traveled by the kite. y = 150  (1/40)(x50)^2 y = 150 
asked by COFFEE on June 13, 2007 
Calculus  repost
Find the derivative of F(x)= integral from 2 to x of sqrt(t^3+8)dt? My answer: sqrt(x^3+8)? Is this right?
asked by Amanda on September 6, 2008 
Calculus
Find the derivative of F(x)= integral from 2 to x of sqrt(t^3+8)dt? My answer: sqrt(x^3+8)?
asked by Amanda on September 6, 2008 
Calculus URGENT test tonight
Integral of: __1__ (sqrt(x)+1)^2 dx The answer is: 2ln abs(1+sqrt(x)) + 2(1+sqrt(X))^1 +c I have no clue why that is! Please help. I used substitution and made u= sqrt(x)+1 but i don't know what happened along the way! Your first step was a good one.
asked by Gabriela on April 20, 2007 
Math
Let A denote the portion of the curve y = sqrt(x) that is between the lines x = 1 and x = 4. 1) Set up, don't evaluate, 2 integrals, one in the variable x and one in the variable y, for the length of A. My Work: for x: integral[4,1] sqrt(1+(dy/dx)^2) dy/dx
asked by Daisy on January 25, 2017 
math please help!!
For what values of x is the graph of y = 8e^−x^2 concave down? (Enter your answer using interval notation.) I started by finding the second derivative and factoring and ended up getting 16e^x^2 (2x^21) and I know up till this part that I'm doing the
asked by Marilyn on October 8, 2015 
Calculus
so we are doing integrals and I have this question on my assignment and I can't seem to get it, because we have the trig substituion rules, but the number isn't even so its not a perfect square and I just cant get it, so any help would be greatly
asked by Tracy on June 10, 2007 
Calculus
Graph the curve and find its exact length. x = e^t + e^t, y = 5  2t, from 0 to 3 Length = Integral from 0 to 3 of: Sqrt[(dx/dt)^2 + (dy/dt)^2] dx/dt = e^t  e^t, correct? dy/dt = t^2  5t, correct? So: Integral from 0 to 3 of Sqrt[(e^t  e^t)^2 +
asked by COFFEE on June 13, 2007 
CALCULUS HELP
Find the second derivative for the function 5x^3+60x^236x41 and solve the equation F(X)=0 i got to the second derivative but what do we do next to be able to get one of these answers.. F(x) = 5x3+60x2−36x−41 1. derivative of F(x) with respect to x =
asked by Herosugar on September 26, 2012 
calculus
find the derivative with respect to x: sqrt(x+s) = (1/x) + (1/s)
asked by terra on October 16, 2011 
calc
d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the
asked by david on December 12, 2006 
calc: arc length
find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x ) 1/2
asked by COFFEE on June 11, 2007 
Calculus
Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9.  Is this basically 1/4 of an oval/ellipse? If so then the area would be: pi*9*3, correct? So the X coordinate would equal: 1/Area * Integral from 0 to 9 of (x*f(x))*dx
asked by COFFEE on June 17, 2007 
calc: avg value
Find the average value of the function "f(x) = x^2 sqrt(1+x^3)" on the interval [0,2]. and this is what i did.. please check for mistakes. thanks :D f(x) = x^2 sqrt(1+x^3), [0,2] f ave = (1/(ba))*inegral of a to b for: f(x) dx f ave = (1/(20))*integral
asked by COFFEE on July 2, 2007 
calculus
using the fundamental theorem of calculus what is the derivative of the definite integral from x^3 to sqrt x of (sqrt t) sin t dt
asked by adela on January 2, 2011 
calc check: average value
Find the average value of the function "f(x) = x^2 sqrt(1+x^3)" on the interval [0,2]. and this is what i did.. please check for mistakes. thanks :D f(x) = x^2 sqrt(1+x^3), [0,2] f ave = (1/(ba))*inegral of a to b for: f(x) dx f ave = (1/(20))*integral
asked by COFFEE on June 30, 2007 
Calculus
Hi. In an integration solution, the integral of (1/(sqrt (8u squared)) is written as arcsin(u/sqrt 8), but I don't see how they got it. When I did it I got (1/8)*(arcsin(u*sqrt8)). What I did was take sqrt8 common in the denominator to get it in the form
asked by O_o Rion on December 5, 2009 
calculus
f(x) = 6x^2 8x +3 how would I find the most general antiderivative of the function. I also have to check my answer by differentiation. Would I have to find the derivative first? (I got 12x 8) What are the steps to solving a problem like this? No, don't
asked by Me on December 7, 2006 
Calculus
A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 80 ft is given by the following. y = 150  (1/40)(x50)^2 Find the distance traveled by the kite. y = 150  (1/40)(x50)^2 y = 150 
asked by COFFEE on June 13, 2007 
Calculus
Given the equation xy = 2, set up an integral to find the length of path from x = a to x = b and enter the integrand below. I did the integral from b to a and set it equal to the sqrt(1+4/x^4), because I found y to equal 2/x and the derivative to be
asked by Katelyn on March 13, 2009 
calc 1
When graphing the integral of sin(x^2) is there a way to shift the graph vertically, without just tacking "+c" on the end? If it helps, the solution to this integral is .5*sqrt(2)*sqrt(Pi)*FresnelS((sqrt(2)*x)/sqrt(Pi))
asked by Anne on December 2, 2013 
trig sub question
Hello, I have a question concerning trigonometric substitution. let's say we have integral of dx/sqrt(9x^2 + 4), so after doing a few steps we have: 2/3 integral of sec0/sqrt((2tan0)^2 + 4*) d0 (the * is for later on) the next step turns into: 2/3 integral
asked by Tom on February 22, 2013 
Calculus II
y = *The Integral Of sin(4e^t)dt* a = 0 b = ln(2x) I'm supposed to find the derivative of y with respect to x. Except I just can't find the right answer.
asked by Sean on November 25, 2007 
Calculus
Integration with USubstitution Integral of [x/sqrt(x+1)] dx I'm getting confused with how to deal with the x when I find the derivative of (x+1) because they don't match.
asked by Anonymous on February 12, 2015 
Math  Calculus
Find the area of the surface of revolution generated by revolving the curve y = 3 sqrt (x), 0
asked by Anon on December 8, 2016 
Calc I
Find the range of y = (3x1)/(2x^2 + x  6) I was going to take the derivative of the numerator and denomenator and then use the quotent rule to find the derivative of the function and find the critical values but I ran into the imaginary number during the
asked by Kate on July 25, 2010 
calc
i need to find the definite integral from 0 to 2b of .... x divided by sqrt(x^2 + b^2) dx im having a lot of trouble, thanks in advance Let u = x^2 + b^2 du = 2x dx The integrand becomes (1/2) u^(1/2) du and the integral of this is u^(1/2) = sqrt(x^2 +
asked by tyler on January 31, 2007 
Calculus review
let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know
asked by Prince@18 on February 9, 2017 
Math (Definite Integrals)
Sketch the region given by the definite integral. Use geometric shapes and formulas to evaluate the integral (a > 0, r > 0). r ∫ sqrt(r^2  x^2) dx r While I recognize that this looks similar to a circle function, I'm not sure how to graph and evaluate
asked by Ray on April 6, 2017 
calc
find the derivative of y = sqrt(9  16x) Use the chain rule. First find the derivative of the sqrt, and multiply that by the derivative of what is contained inside. Cake. Use the chain rule. If we have y(x)=sqrt(916x) then y'=d/dx(sqrt(916x))*d/dx(916x)
asked by joe on September 27, 2006 
Calculus
find derivitive of 1/square root of x 1/square root of x = x^(1/2) The derivative is 1/2 x^(3/2) can you keep going on the problem to not have negative exponents? You can also use that the derivative of 1/f(x) is given by: f'(x)/[f(x)]^2 If you take
asked by Linds on January 18, 2007 
calculus
Let F(x)= the integral from 0 to 2x of tan(t^2) dt. Use your calculator to find F″(1) By applying the fundamental theorem of calculus, I got the derivative of the integral (F'(x)) to be 2tan(2x^2) When I take the derivative to find F''(x) I get 8x
asked by Anonymous on May 16, 2018 
Calc
Find the area of the region bounded by the curves y = sin^1(x/6), y = 0, and x = 6 obtained by integrating with respect to y. Please include the definite integral and antiderivative.
asked by LilPeep on January 3, 2018 
Calc 2
a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 separate integrals? Like: Integral of x^2 and the other integral of 1/sqrt(1+(x^2)) b. Integral (x^7)/(ln(x^4))dx Do I use integration by parts for this? I put u= lnx du = 1/x dv = x^7 v =
asked by Bae on May 3, 2014 
calc asap!
can you help me get started on this integral by parts? 4 S sqrt(t) ln(t) dt 1 please help! thanks! Integral t^(1/2)Ln(t)dt = 2/3 t^(3/2)Ln(t) 2/3 Integral t^(1/2) dt = 2/3 t^(3/2)Ln(t)  4/9 t^(3/2) Simpler method: Integral t^(a)dt = t^(a+1)/(a+1)
asked by Woof on June 7, 2007 
Calculus
I have two questions, because I'm preparing for a math test on monday. 1. Use the fundamental theorem of calculus to find the derivative: (d/dt) the integral over [0, cos t] of (3/5(u^2))du I have a feeling I will be able to find the derivative easily,
asked by Jennifer on May 9, 2009 
Calculus Fundamental Theorem
Evaluate the definite integral. function: (t+8)(t^2+3) with respect to variable t lower limit: sqrt(2) upper limit: sqrt(2)
asked by Max on November 20, 2013 
Calculus
Evaluate the indefinite integral: 8xx^2. I got this but I the homework system says its wrong:sqrt((x8)x)/(2*sqrt(x8)*sqrt(x))*(((sqrt(x8)*(x4)*sqrt(x))32*log(sqrt(x8)+sqrt(x))
asked by Shannon on February 13, 2009 
Calculus
A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 80 ft is given by the following. y = 150  (1/40)(x50)^2 Find the distance traveled by the kite. y = 150  (1/40)(x50)^2 y = 150 
asked by COFFEE on June 15, 2007 
Calculus (Help)
Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took the derivative of that and
asked by Confused on February 21, 2007 
Integrals Log/Ln
Can you check this please i'm not sure why it's wrong .__. 1) indefinite integral of 1/t *ln(t) dt the t*ln(t) is altogether on the bottom i got ln(ln(x)) + C 2) find the indefinite integral of 1/(sqrt(t)*[12*sqrt(t)]dt sqrt(x) is on the bottom. i got
asked by Erika on May 24, 2013 
please help me calc. have test tom
d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the
asked by david on December 13, 2006 
Math (Calculus II) (Volume Revolution Setup)
Consider the graph of y^2 = x(4x)^2 (see link). Find the volumes of the solids that are generated when the loop of this graph is revolved about (a) the xaxis, (b) the yaxis, and (c) the line x = 4. goo.gl/photos/v5qJLDztqsZpHR9d7 I'm just having trouble
asked by Ray on April 28, 2017 
Calculus II
Evaluate using usubstitution: Integral of: 4x(tan(x^2))dx Integral of: (1/(sqrt(x)*x^(sqrt(x))))dx Integral of: (cos(lnx)/x)dx
asked by RuggedChild on February 24, 2009 
Calc BC
1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2(pix/7)dx 2. Find the indefinite integral by making the substitution x=3tan(theta). Indefinite integral x*sqrt(9+x^2)dx 3. Find the indefinite integral. Indefinite integral
asked by Zooey on September 27, 2011 
intergrals
find value of def integral with a=2 and b=2sqrt(3) definite integral is : x^3 * sqrt(x^2+4) dx for integral i get 1/15 *((4+x^2)^(3/2)) (8+3x^2) for value i get [1536 64sqrt(2)]/15 but its' wrong. help please
asked by Mikey on May 26, 2013 
Calculus  Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.
asked by David on March 24, 2008 
Calculus  Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.
asked by David on March 23, 2008 
Differential Equations
Locate the bifurcation values of a for the oneparameter family and describe the bifurcation that takes place at each such value. dy/dt=e^(y^2)+a I got that the equilibrium points will be at sqrt(ln(a)). I don't know if that is fine. I took the partial
asked by Erica on February 7, 2013 
Differential Equations
Locate the bifurcation values of a for the oneparameter family and describe the bifurcation that takes place at each such value. dy/dt=e^(y^2)+a I got that the equilibrium points will be at sqrt(ln(a)). I don't know if that is fine. I took the partial
asked by Erica on February 7, 2013 
Math
Evaluate the integral of e^(1/x) / x^2 from [1,2]. I let u =1/x, but then I am stuck because I am not sure what is the derivative of 1/x is? The answer in the book is e sqrt(e)
asked by Dave on September 13, 2017 
Calculus
1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^1 x is 1/(x*sqrt(x^2 1)). 4. Find the derivative
asked by Anonymous on February 24, 2015 
calculus
Calculate definite integral of dx/(x^4 * sqrt(x^2 + 3)) Over (1,3) I start with the substitution x = sqrt(3)*tan t so: sqrt(x^2 + 3) = sqrt(3) * sec t dx = sqrt(3) * sec^2 t dt x^4 = 9 * tan^4 t The integral simplifies to: = dt/(tan^3 t * sin t) How do I
asked by mathstudent on December 31, 2007 
finding c: calc
let f(x)=square root x. if the rate of change of at x=c is twice its rate of change at x=1, then c=? what???? i don't get get it. to begin with, i took the derivative if that helps which is 1/(2*sqrtx) . f'(x) = 1/(2*sqrtx) is correct f'(x=1) = 1/2 The
asked by david on December 5, 2006 
calculus
Suppose R is the rectangle 1
asked by Bryant on March 18, 2012 
calculus
A) How do you prove that if 0(
asked by Sarita on April 4, 2010 
Calc I
if f(t)=sqrt(4t+1) find f''(2) I got the first derivative to be: 1/2(4t1)^1/2 * 4t^3 and i'm trying to figure out if i need the product rule again to find the second derivative 1t^3(4t1)^3/2 * 4t^3 The answer if 4/27 and I'm not sure how to get that
asked by Brian on December 7, 2014 
Calc
Sqrt(xyz) I rewrote it has x^(1/2)*y^(1/2)+z^(1/2) And the derivative with respect to x is Sqrtyz/(2sqrtx) is that right
asked by D on September 20, 2013 
Calculus
Find the area of the region bounded by the curves of y=sin^1(x/4), y=0, and x=4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. I am really confused on this question. I graphed all of the
asked by Dloc on May 2, 2017 
ap calculus
Which of the following definite integrals gives the length of y = e^(e^x) between x=0 and x=1? All the answers are preceded by the integral sign from 0 to 1. (a) sqrt[1 + e^(2*(x+e^x))] dx (b) sqrt[1 + e^(4x)] dx (c) sqrt[1 + e^(x+e^x)] dx (d) sqrt[1 +
asked by Jess on December 19, 2012 
Calculus
If I have a function f(x), and am given its derivative, f'(x): may I take it as a given that f(x) is an integral of f'(x). My reasoning is that 'undoing' the derivative gives me the derivative. Eg is 1/3x^3 an integral of x^2? Thanks.
asked by charlie on September 15, 2007 
calculus II
Using integration by substitution. find the exact value of integral from [0,9/16] sqrt(1  sqrt(x))/(sqrt(x))
asked by Alex on December 10, 2011 
Calculus
Find the volume of the solid obtained by rotating the region bounded by y=x^2, y=sqrt(x), about y=1. I have to use either the disk or washer method and i believe i use washer. i set up the integral to be pi[(1x^3)^2 (1sqrt(x))^2] from 0 to 1 for my
asked by Jedidiah on October 9, 2015 
Calculus prince@18
let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know
asked by Prince@18 on February 9, 2017 
Calculus
The base of a solid is bounded by the curve y=sqrt(x+1) , the xaxis and the line x = 1. The cross sections, taken perpendicular to the xaxis, are squares. Find the volume of the solid a. 1 b. 2 c. 2.333 d. none of the above I got a little confused, but
asked by Anonymous on May 11, 2018 
Multivariable calculus
Hello, I have the next exercise about chain rule in multivariable calculus: I have to show that the differential equation: y(dz/dx)x(dz/dy) = (yx)z can be change to the equation: (dw/dv) = 0 using the new variables: u= (x^2)+(y^2) v = (1/x)+(1/y) w =
asked by Susan on June 11, 2017 
calc: arc length
Posted by COFFEE on Monday, June 11, 2007 at 11:48pm. find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x ) 1/2
asked by COFFEE on June 12, 2007 
double integral
1. Sketch the region of integration & reverse the order of integration. Double integral y dydz... 1st (top=1, bottom =0)... 2nd(inner) integral (top=cos(piex), bottom=(x2)... 2. Evaluate the integral by reversing the order of integration. double integral
asked by Michelle on March 11, 2011 
Math(Please help)
f(x,y)=x^2  y^2 a)partial derivative with respect to x. So this means that you hold y^2 constant so would that be 0. So the answer would be 2x? b) partical derivative with respect to y. 2y
asked by Hannah on April 29, 2011 
Calculus check
The functions f and g are given by f(x)=sqrt(x^3) and g(x)=162x. Let R be the region bounded by the xaxis and the graphs of f and g. A. Find the area of R. B. The region R from x=0 to x=4 is rotated about the line x=4. Write, but do not evaluate, an
asked by Anonymous on April 16, 2015 
Calculus Question! ASAP!
Hello! I have this problem: x(dx)/sqrt(9x^2) I was wondering why I can't use trig substitution and substitute sqrt(9x^2) for sqrt(1sec^2) and having: integral x = 3sin(theta) dx = 3cos(theta)d(theata) integral 3sin(theta)(3cos(theta))/3cos(theta) having
asked by Lucy on February 15, 2017 
Calculus
1. Find the are between the curves y=e^x and y=4x^2 graphically. a.) set up the integral b.) include bounds rounded to three decimal places c.) use integral function on calculator 2. Find the area of the "triangular" region bounded by y=4x on the left,
asked by Amy on April 14, 2011 
Calculus
Hello, I have some calculus homework that I can't seem to get started..at least not on the right track? I have 3 questions 1. integral of [(p^5)*(lnp)dp] I'm using the uvintegral v du formula So first, I'm finding u and I think it's lnp.......so du is 1/p
asked by Shelley on January 23, 2007 
Calculus
Evaluate the integral by changing to spherical coordinates. The outer boundaries are from 0 to 1. The middle one goes from sqrt(1x^2) to sqrt(1x^2) The inner one goes from sqrt(1x^2z^) to sqrt(1x^2z^) for 1/sqrt(x^2+y^2+z^2) dydzdx I don't
asked by Mackenzie on December 17, 2012 
Calculus
Evaluate the integral by changing to spherical coordinates. The outer boundaries are from 0 to 1. The middle one goes from sqrt(1x^2) to sqrt(1x^2) The inner one goes from sqrt(1x^2z^) to sqrt(1x^2z^) for 1/sqrt(x^2+y^2+z^2) dydzdx I don't
asked by Mackenzie on December 16, 2012 
Calculus
Evaluate the integral by changing to spherical coordinates. The outer boundaries are from 0 to 1. The middle one goes from sqrt(1x^2) to sqrt(1x^2) The inner one goes from sqrt(1x^2z^) to sqrt(1x^2z^) for 1/sqrt(x^2+y^2+z^2) dydzdx I don't
asked by Mackenzie on December 16, 2012 
Calculus
Evaluate the integral by changing to spherical coordinates. The outer boundaries are from 0 to 1. The middle one goes from sqrt(1x^2) to sqrt(1x^2) The inner one goes from sqrt(1x^2z^) to sqrt(1x^2z^) for 1/sqrt(x^2+y^2+z^2) dydzdx I don't
asked by Mackenzie on December 16, 2012 
Calculus (Please check my work!)
Suppose that y = f(x) = x^2  4x + 4. Then on any interval where the inverse function y = f1(x) exists, thederivative of y = f1(x) with respect to x is: (Hint: x^2  4x + 4 can be factored and rewritten as "something" squared.) Work thus far: Okay, so I
asked by Anonymous on March 15, 2012 
Calculus
Find the derivative of cos(sqrt(e^(x^3)cos(x)) I got sin(sqrt(e^(x^3)cos(x))*((sqrt(e^(x^3)cos(x)) Do I just leave the e^(x^3)cosx alone since it's "e" or do I still have the find the derivative for it?
asked by Z32 on September 15, 2009 
Calculus antiderivatives
find an antiderivative of the function ((t1)^2)/sqrt(t) that goes through the point (1,2) i find derivative of top and bottom first and get 2t2/(1/2*sqrt(t)) but this doesnt give right solution then i find diervative of that again and i get 2/(1/4 *
asked by Mikey on May 26, 2013 
Calculus
For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT (x^2)/(sqrt(7x^2+4))dx dx x=?
asked by Salman on December 14, 2009 
Calculus 12th grade (double check my work please)
1.)Find dy/dx when y= Ln (sinh 2x) my answer >> 2coth 2x. 2.)Find dy/dx when sinh 3y=cos 2x A.2 sin 2x B.2 sin 2x / sinh 3y C.2/3tan (2x/3y) D.2sin2x / 3 cosh 3yz...>> my answer. 2).Find the derivative of y=cos(x^2) with respect to x. A.sin (2x) B.2x
asked by anon on March 6, 2011 
Calculus AP
hi again im really need help TextBook: James Stewart:Essential Calculus, page 311. Here the problem #27: First make a substitution and then use integration by parts to evaluate the integral. Integral from sqrt(pi/2) TO sqrt(pi)of θ^3 cos(θ^2)dθ. i did
asked by Vicky on August 2, 2012 
Calculus
Hi, been tearing my hair out over this question. I think I'm on the right track, but just not sure how to finish it. Anyway, here it is: A particle is moving along the ellipse 4x^2 + 16y^2 = 64. At any time 'T' its x and ycoordinates are given by x =
asked by Matt on October 16, 2006 
Calculus
For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT x(sqrt(8x^264x+120))dx x=?
asked by Salman on December 14, 2009 
Calculus
For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT (x)/(sqrt(1918x^2+80x))dx x=?
asked by Salman on December 14, 2009 
calculus
find the derivative of f(x)=x^2sec^2(3x) also with g(x)=sqrt(cosxsecx) i get zero because cos and sec cancel each other out and derivative of a constant is zero... am i doing something wrong?
asked by anonymous on March 20, 2011 
Math
Find the derivative of f(x)= 2 sqrt x at x=4. i thought that the derivative would be 2 x^1/2 but I guess this is wrong.
asked by Hannah on February 5, 2011 
Math:)
A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12 radians? a.
asked by girly girl on March 22, 2018 
Math
How do you find a square root of a number that's not a perfect square? I'm very confused. The book doesn't explain it too well. You can approximate it or simplify it in terms of (products of) square roots of smaller numbers. E.g. consider sqrt[117] The
asked by Emily on February 12, 2007 
math
find derivative using limit definition: f(x) = x  sqrt(x) so f'(x) = lim h>0 [f(x+h)  f(x)]/h but I keep trying to solve by multiplying by the conjugate but I can't figure it out..there's nothing that can be cancelled or anything and I can't get the
asked by terra on September 26, 2011
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