{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Practice4 release

# Practice4 release - (a 0(b 1 √ 2(c 1(d √ 2 5 Show that...

This preview shows pages 1–2. Sign up to view the full content.

CME 100 Fall 2010 Vector Calculus for Engineers Page 1 of 2 Prof. Eric Darve Practice problems 4 For each question, choose the right answer. 1. Find the distance from the origin to the line x = 1 + t , y = 2 - t , z = - 1 + 2 t (a) 2 (b) 2 / 2 (c) 3 2 / 2 (d) 3 2 2. Find the normal component of the acceleration vector: r ( t ) = (3 t - t 3 , 3 t 2 , 0) (a) 4 (b) 5 (c) 6 (d) 7 3. Find the location of the maximum of f = | x - y | inside the region A shown below. A is a square. x y P Q R S A (a) P (b) Q (c) R (d) S 4. Find the value of the minimum of f = | x - y | inside the region A shown below. A is a circle of radius 1. x y A

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

View Full Document
2/2 CME 100, Fall 2010
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (a) 0 (b) 1 / √ 2 (c) 1 (d) √ 2 5. Show that the function f ( x , y ) = x 2 + 4 y 2-4 xy + 2 has an inﬁnite number of critical points and that they all lie along a line. The equation for the line is: (a) 2 x = y (b) 2 y = x (c)-2 x = y (d)-2 y = x 6. What is R x = e 2 x = 1 R y = e y = 1 ( x / y + y / x ) dydx equal to? (a) e 4 / 2 + e 2 + 3 / 2 (b) e 4 + e 2 / 2-3 / 2 (c) e 4 + e 2 / 2 + 3 / 2 (d) e 4 / 2 + e 2-3 / 2...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern