210ExamReview2 - s P 3800 airplane 7 Assume that oil...

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

View Full Document Right Arrow Icon
Math 210 Fall 2007 Exam 2 Review 1) Find the derivative using the limit definition. You may not use any shortcuts. Proper notation is required. a) 1 2 ) ( 3 - + = x x x f b) 2 1 ) ( x x f = 2) Find the equation of the tangent line to the given curve at the given x-value a) 4 3 2 3 2 - + = x x y at x = 1 b) = x y 3 1 sec at x = 4 3 π 3) A particle moves on a line away from its initial position so that after t hours the particle has traveled a distance of t t d + = 2 3 in miles. a) Find the average velocity over the interval [1,3] b) Find the instantaneous velocity at t = 2 4) For the function 2 3 1 - + = x x y find 2 2 dx y d and evaluate it at x = 3 5) Find the equation of the line tangent to the curve 3 2 3 = + xy y at the point (1,1) 6) An airplane is flying on a horizontal path at a height of 3800 ft. as shown. At what rate is the distance s between the airplane and the fixed point P changing with respect to θ when 30 = θ ° Express the answer in units of ft/degree.
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.

Unformatted text preview: s P 3800 airplane! 7) Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose radius increases at a constant rate of 2 ft/sec. How fast is the area of the spill increasing when the radius of the spill is 60 ft? 8) Make sure you know how to take derivatives of all the types of functions we talked about in class. This includes • Taking derivatives using the exponent rule • Taking derivatives using the product rule • Taking derivatives using the quotient rule • Taking derivatives using the chain rule • Taking derivatives of the trig functions • Taking derivatives of functions in which you have to use more than one of the above bulleted techniques. A good way to study these is to look at examples from class in your notes....
View Full 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