# HW8 - padilla(tp5647 Homework08 Fouli(58320 This print-out...

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

padilla (tp5647) – Homework08 – Fouli – (58320) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A circle of radius r has area A and circum- ference C are given respectively by A = πr 2 , C = 2 πr . If r varies with time t , for what value of r is the rate of change of A with respect to t equal to the rate of change of C with respect to t ? 1. r = 2 π 2. r = 1 3. r = π 2 4. r = 2 5. r = π 6. r = 1 2 002 10.0 points Determine the value of dy/dt at x = 3 when y = 2 x 2 - 3 x and dx/dt = 2. 1. dy dt vextendsingle vextendsingle vextendsingle x =3 = 20 2. dy dt vextendsingle vextendsingle vextendsingle x =3 = 22 3. dy dt vextendsingle vextendsingle vextendsingle x =3 = 16 4. dy dt vextendsingle vextendsingle vextendsingle x =3 = 18 5. dy dt vextendsingle vextendsingle vextendsingle x =3 = 14 003 10.0 points A point is moving on the graph of xy = 6. When the point is at (3 , 2), its x -coordinate is increasing at a rate of 4 units per second. What is the speed of the y -coordinate at that moment and in which direction is it mov- ing? 1. speed = - 11 3 units/sec, decreasing y 2. speed = - 8 3 units/sec, decreasing y 3. speed = 11 3 units/sec, increasing y 4. speed = 14 3 units/sec, increasing y 5. speed = 8 3 units/sec, decreasing y 6. speed = - 14 3 units/sec, increasing y 004 10.0 points The dimensions of a cylinder are changing, but the height is always equal to the diameter of the base of the cylinder. If the height is increasing at a speed of 4 inches per second, determine the speed at which the volume, V , is increasing (in cubic inches per second) when the height is 2 inches. 1. dV dt = 9 π cub. ins./sec 2.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the 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