Wednesday

April 1, 2015

April 1, 2015

Posted by **ANONYMOUS** on Wednesday, May 30, 2012 at 8:55am.

A. −3.215

B. sqrt(2)

C. 1.647

D. 6

E. 3pi

All of the potential solutions I've come up with don't satisfy any of the given values.

- CALCULUS -
**Damon**, Wednesday, May 30, 2012 at 9:31amdy/dx = x cos x^2

dy = x cos x^2 dx

let z = x^2

dz = 2 x dx so x dx = dz/2

so we have

dy = (1/2) cos z dz

y = (1/2)sin z + c

when x = 0, z = 0

-3 = (1/2)(0) + c

c = -3

so

y = (1/2) sin z - 3

when x = pi, z = pi^2

y = (1/2) sin(pi^2) - 3

= -.430-3

=-3.43 I do not agree either

- forgot the (1/2) -
**Damon**, Wednesday, May 30, 2012 at 10:16am-.215-3

-3.215

- CALCULUS -
**ANONYMOUS**, Wednesday, May 30, 2012 at 10:34amAh-ha! As I was working on this earlier, somehow I got to sin(pi^2) - 3, too. But it gave me the same -3.43. Now that the 1/2 is in there, it makes much more sense.

Complicated math messes with one's head; you know how to do all the fancy stuff, but then the basic arithmetic flies out the window! lol

**Answer this Question**

**Related Questions**

CALCULUS (REPOST) - If dy/dx = x (cos x^2) and y = −3 when x = 0, when x...

CALCULUS - If dy/dx = x (cos x^2) and y = −3 when x = 0, when x = ƒÎ, y...

Grade 12 Calculus - Evaluate each of the following. Show all your calculations...

calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...

calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...

calculus - Find an equation for the surface consisting of all points P(x, y, z) ...

biology - Given the part of the molecule shown below, can the underlined atom ...

Math Trig - 13. What is the equation of a cosine function with amplitude 3, ...

Calculus - Find the point on the line 6x + y = 9 that is closest to the point (-...

CALCULUS. Check my answers, please! :) - The domain of f(x)=(1)/(sqrt(x^2-6x-7...