Let

question 84

Essay

Let .
a.Use Part 1 of the Fundamental Theorem of Calculus to find .
b.Use Part 2 of the Fundamental Theorem of Calculus to integrate to obtain an alternative expression for F(x).
c.Differentiate the expression for F(x) found in part (b).The Fundamental Theorem of Calculus, Part 1
If f is continuous on [a, b], then the function F defined by
is differentiable on (a, b), and
The Fundamental Theorem of Calculus, Part 2
If f is continuous on [a, b], then
where F is any antiderivative of f, that is, .

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Definitions:

R

Often used as a symbol representing the interest rate or rate of return in financial equations.

Budgeted Sales

The projected amount of sales revenue a company expects to earn over a specific period, often used for planning purposes.

Actual Sales

The real revenue generated from goods or services sold, measured within a specific period.

Implied Value

a value that is not directly stated but can be derived from given information through analysis or calculation.