Identify and graph the polar equation.r = 3 + 2 cos ? 

A.

limacon with inner loop
B.

limacon with inner loop
C.

limacon without inner loop
D.

limacon without inner loop


Answer: D

Mathematics

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Solve the problem.For what value of r does the infinite series 1 + 4r + r2 + 4r3 + r4 + 4r5 + r6 + . . . converge?

A. |r| < 1
B. |r| < 
C. |r| < 2
D. |r| < 4

Mathematics

Solve the differential equation. = 6

A. y = 2x3 + x3/2 + C B. y = (2x3/2 + C)2 C. y = 4x3 + C D. y = 2x3/2 + C

Mathematics

Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.x = 2

A. 6 B. 4 C. 0 D. 3

Mathematics

Complete the table and use it to calculate the indicated relative frequency. Round your answer to three decimal places if necessary.The following table displays the age, in years, and sex for the residents of a retirement home.Age (years)?60-69 70-79   Over 79  Total  Male5? 5  5?  Female15?6?  4?  Total????What is the relative frequency for persons in the age group 60-69?

A. 0.5 B. 0.667 C. 0.25 D. 0.333

Mathematics