Find by implicit differentiation.


Mathematics

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Solve the problem.The volume of a sphere is given by . A certain sphere has the property that . Find r.

A. 1.44 B. 1.46 C. 1.50 D. 1.48

Mathematics

Provide an appropriate response.Tell whether the statement is true or false. If it is false, give the correct answer. Explain your answer. The easiest way to simplify the expression  is to multiply both the numerator and denominator by 9 + 

What will be an ideal response?

Mathematics

Use the verbal description to write a formula for f(x). Then evaluate the function as indicated.Multiply the input by 3 to obtain the output. Find f(2).

A. f(x) = 3x; 6 B. f(x) = -3x; -6 C. f(x) = -3x; 1 D. f(x) = 3x; 5

Mathematics

Use scientific notation to solve the problem.The distance from the earth to the sun is 9.29 × 107 miles. How long would it take a rocket, traveling at 2.9 × 103 miles per hour, to reach the sun?

A. 3.2 × 104 hr B. 3.2 × 103 hr C. 3.2 × 102 hr D. 3.2 hr

Mathematics