A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.V = ?r3; r = 4, ? = 3.14

A. 85.33
B. 803.85
C. 267.95
D. 66.99


Answer: C

Mathematics

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Evaluate the improper integral.

A. 7 B. 8 C. 2 D. 14

Mathematics

Answer the question.Consider a function f(x, y, z), where the independent variables are constrained to lie on the curve (t) = x(t)i + y(t)j + z(t)k. What mathematical fact forms the basis for the method of Lagrange multipliers?

A. ?f? = 0
B. ?f??g = 0
C. ?g = 0
D. f approaches a local extremum as ? ? 0.

Mathematics

Simplify the expression using the imaginary unit i.

A. -6
B. 6i
C. -6i
D. 6

Mathematics

Use the summation properties to evaluate the series. The following rules may be needed:      .

A. 13 B. 15 C. - 1 D. 29

Mathematics