2)What is the slope of the line tangent to the graph of y=ln(2x)at the point where x=4?
1/8
1/4
1/2
3/4
4
9)The function f has a first derivative given by f'(x) = x(x-3)2?(x+1). At what values of x does f have a relative maximum?
-1 only
0 only
-1 and 0 only
-1 and 3 only
-1, 0 and 3
13)A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are used, what is the maximum area that can be exclosed?
9/2 m2
81/4 m2
27m2
40m2
81/2m2
14)Let P(x) = 3-3x2+6x4 be the fourth-degree Taylor polynomial for the function f about x = 0. What is the value of f(4)(0)?
0
1/4
6
24
144
Section II,Part B,請(qǐng)使用Graphing Calculator:
76)The figure above shows the graph of the differentiable function f for 1≤ x ≤ 5. Which of the following could be the x-coordinate of a point at which the line tangent to the graph of f is parallel to the secant line through the points (1,f(1)) and (5,f(5))?
r
t
u
w
There is no such point
82)The figure above shows the graph of f', the derivative of function f, for -6?< x < 8. Of the following, which best describes the graph of f on the same interval?
1 relative minimum, 1 relative maximum, and 3 points of inflection
1 relative minimum, 1 relative maximum, and 4 points of inflection
2 relative minimum, 1 relative maximum, and 2 points of inflection
2 relative minimum, 1 relative maximum, and 4 points of inflection
2 relative minimum, 2 relative maximum, and 3 points of inflection