Describe the graph of the polar equation.r = -9 csc ?

A. Circle of radius 9 centered at origin
B. Vertical line through (-9, 0)
C. Horizontal line through (0, -9)
D. Line through origin with slope -9


Answer: C

Mathematics

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Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = 6x2y; 0 ? x ? 4, 0 ? y ? 3

A. 676 B. 2256 C. 1256 D. 576

Mathematics

Add or subtract by first simplifying each radical and then combining any like radical terms. Assume that all variables represent positive real numbers. - 7 + 3

A. -18
B. -18
C. -4
D. -4

Mathematics

Complete the table and numerically estimate the limit as x approaches infinity for . x 100 101 102 103 104 105 106 f(x)       ? ?

A.  0

x100101102103104105106
f(x)-3-0.723805-0.074972-0.0075-0.00075-0.000075? -0.000008

B. 15
x100101102103104105106
f(x)-3-0.723805-0.074972-0.0075-0.00075-0.000075?-0.000008

C. -15
x100101102103104105106
f(x)-0.000008-0.000075-0.00075-0.0075-0.074972-0.723805-3?

D. ?
x100101102103104105106
f(x)-0.000008-0.000075-0.00075-0.0075-0.074972-0.723805-3?

E. does not exist
x100101102103104105106
f(x)does not existdoes not existdoes not existdoes not existdoes not existdoes not exist?does not exist

Mathematics

Solve the problem. Round your answer, if appropriate.The growth rate of a certain tree (in feet) is given by y =  + e-t2/2 ,where t is time in years. Estimate the total growth of the tree through the end of the second year by using Simpson's rule with n = 2.

A. 5.11 feet B. 3.68 feet C. 2.34 feet D. 3.41 feet

Mathematics