Test the equation for symmetry with respect to the given axis, line, or pole.r = 2 cos ?;
the polar axis
A. has symmetry with respect to polar axis
B. may or may not have symmetry with respect to polar axis
Answer: A
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Solve the problem.According to a country's census, the population (to the nearest million) was 251 in Year 0 and 299 in Year 10. The projected population for Year 50 is 442. To construct a logistic model, both the growth and carrying capacity must be estimated. (a) Estimate r by assuming that t = 0 corresponds to Year 0 and that the population between Year 0 and Year 10 is exponential; that is, the population is given by 
Round the value of r to four decimal places, if necessary.(b) Write the solution to the logistic equation using the estimated value of r and use the projected value P(50) = 442 million to find an estimation for the value of the carrying capacity K. Round to
the nearest million. A. (a) r = -1.0175 (b) K = 292 million B. (a) r = -0.0175 (b) K = 192 million C. (a) r = 0.0175 (b) K = 969 million D. (a) r = 1.0175 (b) K = 1,069 million
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the 
. y = 4cos (?x), y = 4, x = -0.5, x = 0.5
A. 32?
B. 
?
C. 16?
D. 8?
Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y, z) = xy - ln(z), P0(1, 1, 1)
A. 
( i - j + k)
B. 
( i + j - k)
C. 
( i + j - k)
D. 
( i + j - k)
You are to give a patient 10.0 mg of liquid Prozac. How many milliliters should you give the patient?
A. 25 mL B. 5 mL C. 10 mL D. 2.5 mL