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```134
Sample Examination IV
42. Let g be the function defined by g ^ xh =
statements about g must be true?
I. g is increasing on ^3, 5h.
73 ^^5 + 4t - t2h ^2-thh dt. Which of the following
x
II. g is increasing on ^5, 7h.
III. g ^7h 1 0
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III
43. A region R is enclosed by the coordinate axes and the graph of y = k ^ x - 5h 2, k 2 0. When
this region is revolved around the x-axis, the solid formed has a volume of 2500r cubic units.
What is the value of k ?
(A) 60
(B) 2 15
(C) 4
(D)
5
(E) 2
Unauthorized copying or reuse of
Sample Examination IV
135
y
4
2
–2
–1
1
2
x
–2
–4
44. The graph above shows a function f with a relative minimum at x = 2. The approximation
of f ^ xh near x = 2 using a second-degree Taylor polynomial centered about x = 2 is given by
a + b ] x - 2g + c ] x - 2g 2 .
Which of the following is true about a, b, and c ?
(A) a 1 0, b = 0, c 2 0
(B) a 2 0, b = 0, c 1 0
(C) a 1 0, b 1 0, c 1 0
(D) a 1 0, b 2 0, c 2 0
(E) a 2 0, b = 0, c 2 0
Unauthorized copying or reuse of
136
Sample Examination IV
dy
x2
=- y contains the point ^3, - 2h. Using Euler’s
dx
method with D x =- 0.3, what is the approximate value of y when x = 2.7 ?
45. The solution of the differential equation
(A) - 2.98
(B) - 3.00
(C) - 3.08
(D) - 3.25
(E) - 3.35
Unauthorized copying or reuse of
``` # 1. Read and put the verbs in brackets in the Past Simple or Past # MAHARSHI DAYANAND UNIVERSITY ROHTAK Bachelor of Arts (DDE)(Out of Jurisdiction) 3 Year # State of Texas Interagency Eye Examination Report Examination Report # NC Department of Public Safety We will now spend some times discussing policies and requirements related to technology.  Not all  Orientation Manual Page:  75 # 15-437 / 15-637: Web Application Development Fall 2014 Syllabus 