1024worksheet12

1024worksheet12 - Polytechnic Institute of NYU MA 1024/1324...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Polytechnic Institute of NYU MA 1024/1324 Worksheet 12 Print Name: Signature: ID #: Instructor/Section: Directions: Show all your work for every problem. Problem Possible Points 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 10 Total 100 1 2 (1) Find the global maximum and global minimum of f . (a) f ( x ) = x + 1 x 2 , x ∈ [1 , √ 2] (b) f ( x ) = sin 2 x- √ 3 cos x , 0 ≤ x ≤ π . 3 (2) Find the global maximum and global minimum of f ( x ) = 2- 2 x- x 2 ,- 2 ≤ x ≤ | x- 2 | , < x < 3 1 3 ( x- 2) 3 , 3 ≤ x ≤ 4 4 (3) Find the maximum and minimum values of y by implicit differentiation. 2 x 2- 4 xy + 3 y 2- 8 x + 8 y- 1 = 0 5 (4) An electric current, when flowing in a circular coil of radius r , exerts a force F = kx ( x 2 + r 2 ) 5 / 2 on a small magnet located at a distance x above the center of the coil. Find the distance above the center of the coil where the force on the magnet is greatest. 6 (5) Find the minimum distance from the point (4 , 2) to the parabola y 2 = 8 x . 7...
View Full Document

This note was uploaded on 12/09/2009 for the course MA 1024/1324 taught by Professor N/a during the Spring '09 term at NYU Poly.

Page1 / 11

1024worksheet12 - Polytechnic Institute of NYU MA 1024/1324...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online