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Calculus with Analytic Geometry 1 - Practice Quiz 8 | MATH 1131, Quizzes of Analytical Geometry and Calculus

Material Type: Quiz; Class: Calculus w/Analytical Geo 1; Subject: Mathematics; University: Columbus State University; Term: Spring 2006;

Typology: Quizzes

Pre 2010

Uploaded on 08/04/2009

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MATH 1131 – Quiz 8 Name _______________________________
8:00 a.m., Thursday, April 6, 2006 Dr. Linton
SHOW ALL WORK TO RECEIVE FULL CREDIT.
1. (50 points) Find the linearization L(x) of the function
x
f (x ) e
at a = 0. Simplify your answer so that it has the form
of L(x) = Ax + B.
2. (50 points) Compute y and dy for x = 2, and x = .01, if
1
yx 1
3. (4 points BONUS) For the function given in #1 above, use the definition of P(x) below to approximate f(x) with a quadratic
approximation. Simplify your answer so that P(x) has the form Ax2 + Bx + C.
P(x) = f(a) + f’(a)(x-a) + ½ f’’(a)(x-a)2

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MATH 1131 – Quiz 8 Name _______________________________ 8:00 a.m., Thursday, April 6, 2006 Dr. Linton SHOW ALL WORK TO RECEIVE FULL CREDIT.

  1. (50 points) Find the linearization L(x) of the function x

f (x) e at a = 0. Simplify your answer so that it has the form

of L(x) = Ax + B.

  1. (50 points) Compute y and dy for x = 2, and x = .01, if

y

x 1

  1. (4 points BONUS) For the function given in #1 above, use the definition of P(x) below to approximate f(x) with a quadratic approximation. Simplify your answer so that P(x) has the form Ax^2 + Bx + C.

P(x) = f(a) + f’(a)(x-a) + ½ f’’(a)(x-a)^2