part ii:specific topics samplemultiple-choice questions ... · sample multiple-choice questions:...
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![Page 1: Part II:Specific Topics SampleMultiple-Choice Questions ... · Sample Multiple-Choice Questions: Applications of the Derivative 1. 2. 3. Find the x-coordinate of the absolute minimum](https://reader030.vdocuments.us/reader030/viewer/2022040522/5e8016a913435c49fa2c11b2/html5/thumbnails/1.jpg)
Part II: Specific Topics
Sample Multiple-Choice Questions:Applications 0' the Derivative
1. Find the x-coordinate of the absoluteminimum of f(x) = x3
_ x2- X + I on the
interval [-2, 2].
A. -2B. 1-3c. 0
D. IE. 2
2. The function f(x) = X 3 - 2x 2 isincreasing on which of the followinginterval( s)?
A. x < 0 only
B. x> 1onlyc. 0<x<1
D. x< 0 or x> 1E. 3x< 0 or x> 4"
3. Given f(x) =!x5- 214x4 find where the
relative extrema off"(x) occur.
A. 1x= 0, 12
.B. 1x=g
C. 1x= 24
D. 1x=O'g
E. Ix=O'6
1Q8
4. The position of a particle moving alonga horizontal line at any time t is given.by s (t) = 3t2
- 2t - 8. For what value(s)of t is the particle not moving?
A. t = 2 or t =-1B. t = 3 only
1C. t= 3"only
D. t = 1 or t = 4
E. t = 2 only
s. A particle moves in a straight line suchthat its distance at time t from a fixedpoint on the line is given by 8t - 3t 2units. What is the total distance coveredby the particle from t = 1 to t = 2?
A. 1 unit
B. 4 .3umts
c. 5 .3"umts
D. 2 units
E. 5 units
6. A particle moves along a horizontalpath such that its position at any timet is given by s (t) = (2t - 3)3~Thenumber of times the particle changesdirection is
A. 0B. 1
C. 2D. 3
E. not determinable from theinformation given