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Calculus Exam 1 - Spring 2007 - MAT 261 - Calculus with Applications for Science - Prof. K, Exams of Mathematics

The solutions to exam 1 of the calculus with applications for science course, taught by professor jones, during the spring 2007 semester. The exam covers various topics such as solving equations, finding local extreme values, vertical asymptotes, and simplifying difference quotients. Students are expected to find the best answer for each question.

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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MAT 261 Jones - Spring 2007
Calculus with Applications for Science
Exam 1 (Chapter 1)
Choose the best answer:
1. Solve the equation for x.
(a) (b)
(c) (d)
2. Solve the equation for x.
(a) (b)
(c) (d)
3. Find the domain of the function .
(a) ú(b)
(c) (d)
4. Find the local extreme for the function on .
(a) local minimum @ (0,0) (b) local maximum @ (-2,18)
local minimum @ (2,-14)
(c) local maximum @ (-2,18) (d) none
local minimum @ (0,0)
local minimum @ (2,-14)
pf3
pf4

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MAT 261 Jones - Spring 2007 Calculus with Applications for Science Exam 1 (Chapter 1)

Choose the best answer:

  1. Solve the equation for x.

(a) (b)

(c) (d)

  1. Solve the equation for x.

(a) (b)

(c) (d)

  1. Find the domain of the function.

(a) ú (b) (c) (d)

  1. Find the local extreme for the function on.

(a) local minimum @ (0,0) (b) local maximum @ (-2,18) local minimum @ (2,-14) (c) local maximum @ (-2,18) (d) none local minimum @ (0,0) local minimum @ (2,-14)

  1. Find the local extreme for the function on.

(a) local minimum @ (-3,-3) (b) local minimum @ (-0.61,-5.64) local maximum @ (-1.32,5.64) local maximum @ (1.41,6.12) local minimum @ (0.57,-6.12) local minimum @ (3,-3) (c) local minimum @ (-0.57,-6.12) (d) local minimum @ (-1,-6) local maximum @ (1.32,5.64) local maximum @ 1,6) local minimum @ (3,-3) local minimum @ (3,-3)

  1. Find the vertical asymptotes for the rational function.

(a) (b)

(c) (d)

  1. Simplify the difference quotient if.

(a) (b)

(c) (d)

  1. Find the domain and range for the function.

(a) domain: (b) domain: range: range: (c) domain: (d) domain: range: range:

  1. Find the equation of the line containing the points (5,0) and (0,-3).

(a) (b)

(c) (d)

  1. Compute , if possible.

(a) (b)

(c) (d) does not exist