Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+16πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined? Part b: Continue to assume that the height of your cylinder is 4 inches. Write the radius r as a function of A. This is the inverse function to A(r), i.e., to turn A as a function of r into r as a function of A. R(A)= Part c: If the surface area is 125 square inches, then what is the radius r? In other words, evaluate r(125). Round your answer to 2 decimal places.
Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+16πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined? Part b: Continue to assume that the height of your cylinder is 4 inches. Write the radius r as a function of A. This is the inverse function to A(r), i.e., to turn A as a function of r into r as a function of A. R(A)= Part c: If the surface area is 125 square inches, then what is the radius r? In other words, evaluate r(125). Round your answer to 2 decimal places.
Chapter3: Functions
Section3.7: Inverse Functions
Problem 46SE: The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of...
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Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+16πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined?
Part b: Continue to assume that the height of your cylinder is 4 inches. Write the radius r as a function of A. This is the inverse function to A(r), i.e., to turn A as a function of r into r as a function of A.
R(A)=
Part c: If the surface area is 125 square inches, then what is the radius r? In other words, evaluate r(125). Round your answer to 2 decimal places.
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