This preview shows page 1. Sign up to view the full content.
Unformatted text preview: ge is positive.
(A) (b, 0) and (0, 16) (B) (16, c) only (C) (0, 16) only (D) (b, 0) and (16, c) (E) (0, 16) and (16, c) (ii) Choose the interval(s) on which the rate of change is negative.
(A) (b, 0) and (0, 16) (B) (16, c) only (C) (0, 16) only (D) (b, 0) and (16, c) (E) (0, 16) and (16, c) (iii) Choose the values at which the rate of change is 0.
(A) x = 0 and x = 19 (B) x = 0 and x = 16 (D) x = 19 and x = 16 (C) x = 16 and x = −2 (E) x = 0 and x = −2 62. For f (x) = x2 + x, ﬁnd the equation of the tangent line when x = −4.
The tangent line is (A) y = −4(x − 7) + 12 (B) y = −7(x − 4) − 20 (D) y = −7(x + 4) + 12 (E) does not exist (C) y = −4(x + 7) − 20 63. Suppose the demand for a certain item is given by D(p) = −3p2 − 5p + 200, where p represents the
price of the item in dollars. Answer parts (i) and (ii)
(i) Find the rate of change of demand with respect to price. The rate of change with respect to price
is
(A) −6p − 5 (B) −3p2 − 5p + 200 (D) −6p + 195 (E) None of these (C) −3p (ii) The rate of change of demand when the price is $11 is 71. Choose the correct interpretation
below.
(A) When the price is $11, demand is decreasing at a rate of about 71 items
for each increase in price of $11. (B) When the price is $11, demand is increasing at a rate of about 71 items
for each increase in price of $11. (C) When the price is $11, demand is increasing at a rate of about 71 items
for each increase in price of $1. (D) When the price is $11, demand is decreasing at a rate of about 71 items
for each increase in price of $1. 64. The cost of recycling q tons of paper is given in the following table.
q (tons) 1000 1500 2000 2500 3000 3500 C (q ) (dollars) 2500 3200 3640 4060 4270 4415 Estimate the marginal cost at q = 2000.
(A) less than 1 (B) between 1 and 3 (D) between 5 and 7 (E) more than 7 (C) between 3 and 5 65. If f (x) = x2 + 3, use the deﬁnition of the derivative to ﬁnd f (x). Formulas You Might Find Useful
I = P rt A =
r mt
P 1+
m A = P ert rE = rE = er − 1 f ( x) = f ( x + h) − f ( x )
h→0
h 1+ lim r m
−1
m...
View
Full
Document
This note was uploaded on 01/14/2014 for the course MATH 116 taught by Professor Jess during the Fall '09 term at University of Arizona Tucson.
 Fall '09
 JESS
 Calculus, Slope

Click to edit the document details