Find the area of the specified region.Inside the smaller loop of the limacon r = 5 + 10 sin ?

A. 25?
B. 5(3 - ?)
C.
D. (2? - 3)


Answer: D

Mathematics

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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = y2(1 - 2x), y(-1) = -1, dx = 0.5

A. y1 = 0.4, y2 = 0.63, y3 = 0.7472 B. y1 = 0.7, y2 = 0.99, y3 = 1.2656 C. y1 = 0.5, y2 = 0.75, y3 = 1.03125 D. y1 = 0.7, y2 = 0.99, y3 = 1.9136

Mathematics

Provide an appropriate response.The proceeds from an event depend on the number of people who attend.(a)Write a function p(n) for the proceeds if each ticket costs $8.00 and the number of tickets sold is n.(b)What is the domain of this function out of context?(c)What is the domain of this function in the given context?(d)Find p(c), p(c + 5), and  p(c + 25).(e)What happens to the proceeds when the number who attend increases by a constant m? Describe using an equation.

What will be an ideal response?

Mathematics

Perform the indicated operations. Write the answer in simplest form. ? 

A. 5
B.
C.
D.

Mathematics

Write the fraction.Of the 164 students at a high school, 37 are sophomores. What fraction of the students are NOT sophomores?

A.
B.
C.
D.

Mathematics