Levels Tought:
Elementary,Middle School,High School,College,University,PHD
Teaching Since: | Apr 2017 |
Last Sign in: | 237 Weeks Ago |
Questions Answered: | 12843 |
Tutorials Posted: | 12834 |
MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
(1) _____ The figure shows a rectangle inscribed in an isosceles right triangle whose
hypotenuse is 2 units long. Express the area of the rectangle in terms of x. (A) 2
2 x −2 x , for 0 ≤ x ≤1 (B) −2 x 2+ 2 x , for 0 ≤ x ≤1 (C) x (D) 2
x + x , for −1 ≤ x ≤ 1 2 , for −1 ≤ x ≤ 1 (E) none of the above (2) _____ The figure shows the graph of a function g(t) with domain [-4, 0] and range [-3,
0]. Find the domain and range of –g(t – 4). (A) D = all real numbers; R = all real numbers
(B) D = [-4, 0]; R = [-3, 0]
(C) D = [0, 4]; R = [0, 3]
(D) D = [-8, -4]; R = [0, 3]
(E) none of the above (3) _____ Determine how much time is required for an investment to triple in value if
interest is earned at the rate of 5.75% compounded continuously.
(A) not enough information
(B) 52 years
(C) 5 years
(D) 19 years
(E) none of the above (4) _____ Use the change of base formula log 2 x=−1.5
(A) -1.04 log a x= ln x
ln a to find ln x given that (B) 0.69
(C) 0.35
(D) -3.00
(E) none of the above (5) _____ Find functions f, g, and h such that ( f o g o h )( x )= (A) f ( x )= 1
√ x+3 1
1
, g ( x )=x +3, h ( x ) =
x
√ x +3 (B) (C) (D) f ( x )=x +3, g ( x )= √ x , h ( x )= 1
x 1
f ( x )= , g ( x )= √ x , h ( x )=x +3
x
f ( x )= 1
1
, g ( x ) =√ x , h ( x ) =
x+ 3
x (E) none of the above
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