Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the parabola x = y2 and the line x = 16
A. 
= 
, 
= 0
B. 
= 16, 
= 0
C. 
= 0, 
= 
D. 
= 
, 
= 0
Answer: D
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Find the integral.
A. (2x3/3) - 7x2/2 + 24x - 94 ln 
+ C
B. (2x3/3) - 7x2/2 + 24x - 7 ln 
+ C
C. (2x3/3) - 7x2/2 + 24x - 94 ln |x + 4| + C
D. (2x3/3) + 9x2/2 + 8x - 7 ln |x + 4| + C
Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = 1 and b = 2f(x) = 4x5 - 5x3 - 8x2 + 5
A. f(1 ) and f(2) have opposite signs, therefore the function f has a real zero between 1 and 2. B. f(1 ) and f(2) have the same sign, therefore the function f has a real zero between 1 and 2. C. f(1 ) and f(2) have opposite signs, therefore the function f does not have a real zero between 1 and 2. D. f(1 ) and f(2) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between 1 and 2.
Complete the table. Round to the nearest whole percent, when necessary.
A. 4; 25% decrease B. 44; 25% increase C. 4; 20% increase D. 44; 20% decrease
Find the identical expression for the following.
?
?
A. 
B. 
C. 
D. 
E. 