Chapter 3.8, Problem 57E

Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. 3. f(x) = 4x; [-5,3]

Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x)=3e-4; [3,3]

A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by P'(t) = (7t + 14) (t² + 4t+7) * (a) Find the total profit in the first four years. (b) Find the profit in the sixth year of operation. (c) What is happening to the annual profit over the long run?

Calculus III May I have an expert explained how the terms were simplified into 6(3-x)^2? Thank you,

Calculus III May I have an expert explain how the integrand was simplified into the final for form to be integrated with respect to x? Thank you,

Calculus lll  May I please have the semicolon statement in the box defined with explanation? Thank you,

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Calculus lll  May I please have the solution for the following example? Thank you,

Calculus lll  May I please have numbers 1 and 2 explanations resolved? Thank you,