Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.

A.   local minimum
B.   saddle point;    saddle point
C.   local maximum;    local minimum
D.   local maximum


Answer: D

Mathematics

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Simplify.

A.
B.
C. 7x + 3
D.

Mathematics

Solve the problem.A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 feet. Find the length of the ladder if the length is 4 feet more than its distance from the wall.

A. 24 feet B. 16 feet C. 12 feet D. 20 feet

Mathematics

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 dt to obtain an
alternative expression for F(x).
c. Differentiate the expression for F(x) found in part (b).

Mathematics

Solve the problem.Find the amount in a savings account at the end of 10 years if the amount originally deposited is $7000 and the interest rate is 7% compounded semiannually.Use: A = Pntwhere:A = final amountP = $7000 (the initial deposit)r = 7% = 0.07 (the annual rate of interest)n = 2 (the number of times interest is compounded each year)t = 10 (the duration of the deposit in years)

A. $9874.19 B. $13,928.52 C. $15,321.37 D. $144,900.00

Mathematics