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