Q10 The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4xr² where r is the radius of the balloon (in meters). If the radius r is increasing with time t (in seconds) according to the formula r(t) =³, , t≥ 0, find the surface area S of the balloon as a function of thetime t.S(t)=(Type an expression using t as the variable. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

=7²₁ ,120, find the surface area S of the balloon as a function of the The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4x² where r is the radius of the balloon (in meters). If the radius r is increasing with time t (in seconds) according to the formula r(t) = time t. S(t)= (Type an expression using t as the variable. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

=7²₁ ,120, find the surface area S of the balloon as a function of the The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4x² where r is the radius of the balloon (in meters). If the radius r is increasing with time t (in seconds) according to the formula r(t) = time t. S(t)= (Type an expression using t as the variable. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

See similar textbooks