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

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

View Full Document Right Arrow Icon
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.
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern