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
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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
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
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
x | 100 | 101 | 102 | 103 | 104 | 105 | 106 |
f(x) | -3 | -0.723805 | -0.074972 | -0.0075 | -0.00075 | -0.000075 | ? -0.000008 |
B. 15
x | 100 | 101 | 102 | 103 | 104 | 105 | 106 |
f(x) | -3 | -0.723805 | -0.074972 | -0.0075 | -0.00075 | -0.000075 | ?-0.000008 |
C. -15
x | 100 | 101 | 102 | 103 | 104 | 105 | 106 |
f(x) | -0.000008 | -0.000075 | -0.00075 | -0.0075 | -0.074972 | -0.723805 | -3? |
D. ?
x | 100 | 101 | 102 | 103 | 104 | 105 | 106 |
f(x) | -0.000008 | -0.000075 | -0.00075 | -0.0075 | -0.074972 | -0.723805 | -3? |
E. does not exist
x | 100 | 101 | 102 | 103 | 104 | 105 | 106 |
f(x) | does not exist | does not exist | does not exist | does not exist | does not exist | does not exist | ?does not exist |
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