Consider the polar equation

(a) Find the eccentricity and an equation of the directrix of the conic.
(b) Identify the conic.
(c) Sketch the curve. >

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Mathematics

Use the given transformation to evaluate the integral. (x + y) dA, where R is the square with vertices (0, 0), (4, 6), (6, ), (10, 2) and x = 4u + 6v, y = 6u - 4v.

What will be an ideal response?

Find the area of the region under the curve  over the indicated interval. ? ? __________ sq units

Fill in the blank(s) with the appropriate word(s).

Simplify.

A. 15 B. does not exist as a real number C. 16 D. 112

Use the method of natural frequencies to find the indicated probability.Refer to the table which summarizes the results of testing for a certain disease.  A test subject is randomly selected and tested for the disease. What is the probability the subject does not have the disease given that the test result is positive?

A. 0.597 B. 0.14 C. 0.183 D. 0.817