Assume that x, y, and c are positive numbers. Use the properties of logarithms to write the expression  in in terms of the logarithms of x and y.

a.

b.

c.

d.


d.

The expression written in terms of logarithms of x and y is

Mathematics

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Find the area of the region specified in polar coordinates.One leaf of the rose curve r = 8 cos 3?

A. ?
B. ?
C. 32?
D. 16?

Mathematics

Provide an appropriate response.Use a calculator to multiply, reduce answer to lowest terms and convert improper fractions to whole or mixed numbers:  

A.
B.
C.
D.

Mathematics

Determine the period of the function and sketch its graph.y = cos 

A. period: 2?

B. period: 4?

C. period: 4

D. period: 4?

Mathematics

Provide an appropriate response.Consider the following formulas:  and Given the same values for n and r in each formula, which is the smaller value, P or C? How does this relate to the concept of counting the number of outcomes based on whether or not order is a criterion? 

What will be an ideal response?

Mathematics