Posted by **Terry** on Wednesday, April 7, 2010 at 7:07pm.

Determin the absolute extreme values of the function on the given interval.

1.)y= 3 sin x + 4 cos x, xE[0, 2pie]

- Calculus -
**Damon**, Wednesday, April 7, 2010 at 7:37pm
dy/dx = 3 cos x - 4 sin x

=0 at max or min

3 cos x = 4 sin x

so

tan x = 3/4 at extreme

3,4,5 triangle.

tan is 3/4 in quadrants 1 and 3

In quadrant 1

sin x = 3/5

cos x = 4/5

3 sin x + 4 cos x = 9/5 + 16/5 = 5 (maximum probably)

do similar computation in quadrant 3 and I suspect you will find the minimum.

- Calculus -
**bobpursley**, Wednesday, April 7, 2010 at 7:38pm
y'=3cosx-4sinx=0

3cosx=4sinx

tanx=3/4

solve for x. You will get two angles, 180degrees apart.

One is a max, one is a min.

## Answer this Question

## Related Questions

- math - Sketch f (x) = x + cos x on [-2pie,2pie ]. Find any local extrema, ...
- CALCULUS - Find and Classify, the absolut extreme values of each function on the...
- Calculus - Find the absolute minimum and absolute maximum values of f on the ...
- college calculus 1 - Find the local and absolute extreme values of the function...
- calculus - Determine all the absolute extreme values for the function f(x,y) = ...
- Calculus - A)Find the critical points off on the given interval. B)Determine ...
- Calus calculus - a. Find the critical points of f on the given interval. b. ...
- extreme values of the function - Using analytical method, find the extreme ...
- Calculus (pleas help!!!) - Find the absolute maximum and absolute minimum ...
- Calculus (pleas help!!!) - Find the absolute maximum and absolute minimum values...

More Related Questions