Evaluate the integral.
A. 
x3 cos 8x + 
x2 sin 8x - 
x cos 8x - 
sin 8x + C
B. 
x3 sin 8x - 
x2 cos 8x + 
x sin 8x + 
cos 8x + C
C. 
x3 sin 8x + 
x2 cos 8x - 
x sin 8x - 
cos 8x + C
D. 
x3 sin 8x + 
x2 cos 8x - 
x sin 8x - 
cos 8x + C
Answer: C
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Find the gradient field F of the function f.f(x, y, z) = x4e5x + y5z5
A. F = (4 + 5x)x3e5xi + 5y4z5j + 5y5z4k B. F = (4 + 5x)x3e5xi + 5y4j + 5z4k C. F = (1 + x)x3e5xi + y4z5j + y5z4k D. F = (4 + 5x)x3e5xi + (x4e5x + 5y4z5)j + (x4e5x + 5y5z4)k
Solve.
= 2
A. 4, 6 B. 8, -4 C. 8, 4 D. -4, 6
Suppose that y is directly proportional to x. Use the given information to find the constant of proportionality k. Then use y = kx to find y for the given value of x.y = 25.9 when x = 7;
Find y given x = 13.
A. k = 3.7; y = 50.7
B. k = 3.9; y = 48.1
C. k = 181.3; y = 
D. k = 3.7; y = 48.1
Determine whether the expression represents a number that is positive, negative, or zero.(-3)-3
A. Positive B. Zero C. Negative