{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

final1 - Name Final A for Calculus I(151K 1 Evaluate the...

Info icon This preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
Name: Final A for Calculus I (151K) 1. Evaluate the limit. (a) lim x 5 - x x 2 - 25 . (b) lim x 8 + x 2 - 100 x - 8 . (c) lim x →∞ 1 + 2 x + x 3 2 + 3 x + 4 x 3 .
Image of page 1

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

View Full Document Right Arrow Icon
2. Evaluate the limit. (a) lim x 4 x 2 - 16 x - 2 . (b) lim x 1 x + 3 - 2 x 2 - 1 . (c) lim x 0 + (1 + x ) 1 x .
Image of page 2
3. Evaluate the derivative of f ( x ) = 1 2 x + 1 from the definition.
Image of page 3

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

View Full Document Right Arrow Icon
4. Evaluate the derivative. (a) f ( x ) = ln( x 4 + 1). (b) f ( x ) = sin x x 2 . (c) y = radicalbig ( x 2 + 1)( x + 4) 5 . (d) y = arctan( e x ).
Image of page 4
5. Find the equation for the tangent line to the curve x 4 + x 2 y + y 2 = 7 at the point ( - 1 , 2). 6. Find the maximum and minimum values of the given function on the given interval: f ( x ) = x x 2 + 1 ; [ - 2 , 2] .
Image of page 5

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

View Full Document Right Arrow Icon
7. A 6-foot-tall man jogs away from a lightpost at the rate of 12 feet per second. If the lightpost is 20 feet tall, how quickly is the tip of the man’s shadow moving across the ground?
Image of page 6
8. Suppose that f ( x ) = 8 x 2 - x 4 . Find the intervals on which f is increasing and de- creasing. Find and classify any critical points. (That is, classify them as local maxima, local minima, or neither.) Determine the intervals of concavity and find any points of inflection. Graph the function.
Image of page 7

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

View Full Document Right Arrow Icon
9. A box with a square base and an open top is to have a volume of 1 cubic meter. If the
Image of page 8
Image of page 9
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