Provide an appropriate response.Assuming r = f(?) is continuous for  and  what can be said about the relative areas between the origin and the polar curves r = f(?), ? ? ? ? ?and r = 2f(?), ? ? ? ? ? ?Give reasons for your answer.

What will be an ideal response?


The area between the origin and the curve r = 2f(?) is four times greater than the area between the origin and the curve  since  = 4.

Mathematics

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A fixed point of f is a value of x that satisfies the equation f(x) = x; it corresponds to a point at which the graph of f intersects the line y = x. Find all the fixed points of the function. Use preliminary analysis and graphing to determine good initial approximations. Round approximations to six decimal places.f(x) = x2 - 3

A. x ? -1.302776, 2.302776 B. x ? -0.802776, 1.802776 C. x ? -2.302776, 3.302776 D. x ? -1.802776, 1.802776

Mathematics

Find the nth term of the arithmetic sequence with the given values.a1 = -0.08, d = 0.05, n = 18

A. 0.82 B. 0.77 C. 0.85 D. -0.93

Mathematics

Find the domain and range of the function.y = 

A. D = [2, ?), R = [0, ?) B. D = (-?, ?), R = (-?, ?) C. D = [0, ?), R = [-2, ?) D. D = (-?, ?), R = [0, ?)

Mathematics

Use synthetic division to find the quotient.(3x4 - 2x3 - 10x2 + 15) ÷ (x - 2)

A. 3x3 + 4x2 - 2x + 4 +  
B. 3x3 + 4x2 - 2x - 4 +  
C. 3x3 + 4x2 - x - 3 +  
D. 3x3 + 4x2 - 2x - 4 +  

Mathematics