Determine the domain and the range of the function.f(x) = x2 + 12x
A. domain: {x|x ? 6}
range: {y|y ? 36}
B. domain: all real numbers
range: {y|y ? -36}
C. domain: all real numbers
range: {y|y ? 36}
D. domain: {x|x ? -6}
range: {y|y ? -36}
Answer: B
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Use cylindrical coordinates to find the volume of the indicated region.the region bounded by the cylinders
and the planes
A. 360? B. 180? C. 720? D. 540?
Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = 5x3i + 5y3j + 5z3k ; D: the thick sphere 16 ? x2 + y2 + z2 ? 25
A. 25212? B. 915? C. 2460? D. 126,060?
Graph the function. Give the equations of its vertical and horizontal asymptotes.f(x) =
A. Vertical asymptote: x = 2
Horizontal asymptote: y = 0
B. Vertical asymptote: x = -2
Horizontal asymptote: y = 0
C. Vertical asymptote: x = 2
Horizontal asymptote: y = 0
D. Vertical asymptote: x = -3
Horizontal asymptote: y = 0
Factor.x4 - 18x2 + 81
A. x2(x - 9)2 B. (x2 - 9)2 C. (x2 + 9)2 D. prime