m116q07a - 1 c [email protected] MATHA116 Survey of Calculus...

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

View Full Document Right Arrow Icon
1 MATHA116, Survey of Calculus, Quiz #7 Solutions Updated on November 8, 2006 Get help whenever in doubt! c [email protected] D irection. IX-1. Please read each of the following questions carefully. Show your work as much as possible. No partial credit will be given without proper work shown. Write your answer above the Answer line. Use the back of each page should more space be needed. N Important: Direction. Q uestion IX-1. ( 40 points ) The demand equation for a certain brand of metal alloy audiotape is 100 x 2 + 9 p 2 = 3600 where x represents the number (in thousands) of ten-packs demanded each week when the unit price is p (in dollars). How fast is the quantity demanded increasing when the unit price/ten- pack is $14 and the selling price is dropping at the rate of $0 . 15/ten-pack/week? W ork IX-1. From the information given, we know that when p = 14 and dp dt = - 0 . 15, x can be found as shown below. 100 x 2 + 9 p 2 = 3600 = 100 x 2 + 9 · 14 2 = 3600 (1) x 2 = 3600 - 9 · 14 2 100 = x = r 3600 - 9 · 14 2 100 4 . 2849 (2) Now, the question here is to find dx dt where t is time in weeks.
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