4-11f-test3

22 views8 pages
31 Jan 2019
School
Course
Professor
EGR 265, TEST III 1
EGR 265, Math Tools for Engineering Problem Solving
November 30, 2011, 50 minutes
Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
TEST III
Problem 1 (9+9 points)
(a) Let f(x, y) = 2x
xy. Find fxx +fyy.
(b) For the function g(x, y) = xln(x2+y) find gx,gyand gxy.
Unlock document

This preview shows pages 1-3 of the document.
Unlock all 8 pages and 3 million more documents.

Already have an account? Log in
EGR 265, TEST III 2
Problem 2 (9+9 points)
(a) For the function h(x, y) = e(x4+y2)find its direction and rate of steepest descent at
the point P(1,2).
(b) Find the directional derivative of h(x, y) at P(1,2) in the direction of the vector
from P(1,2) to Q(4,2).
Unlock document

This preview shows pages 1-3 of the document.
Unlock all 8 pages and 3 million more documents.

Already have an account? Log in
EGR 265, TEST III 3
Problem 3 (12+6 points)
(a) Find an equation for the tangent plane to the graph of z=xy + cos(xy) + 1 at
the point (π
2,0,1).
(b) Also, find parametric equations for the normal line to the graph of z=xy +cos(x
y) + 1 at (π
2,0,1).
Unlock document

This preview shows pages 1-3 of the document.
Unlock all 8 pages and 3 million more documents.

Already have an account? Log in

Get OneClass Grade+

Unlimited access to all notes and study guides.

Grade+All Inclusive
$10 USD/m
You will be charged $120 USD upfront and auto renewed at the end of each cycle. You may cancel anytime under Payment Settings. For more information, see our Terms and Privacy.
Payments are encrypted using 256-bit SSL. Powered by Stripe.