Find the center of mass of the wire that lies along the curve r and has density ?.r(t) = (2 cos 3t)i +(2 sin 3t) j + 6tk, 0 ? t ? 2?; ?(x, y, z) = 2(1 + sin 3t cos 3t)

A.
B.
C.
D.


Answer: A

Mathematics

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Use a calculator to find the trigonometric values. Express your answers in hundredths.tan 48°

A. 1.24 B. 1.11 C. 1.20 D. 1.07

Mathematics

Translate the phrase; then simplify.Find the difference of -27 and -9.

A. 36 B. -18 C. 18 D. -36

Mathematics

Use the intermediate value theorem to approximate the one real zero on the given interval. Round your answer to two decimal places.f(x) = x4 - x3 - 7x2 + 5x + 10; [-3, -2]

A. 2.45 B. -2.45 C. -2.24 D. 2.24

Mathematics

The total daily revenue (in dollars) that Weston Publishing realizes in publishing and selling its English-language dictionaries is given by




where x denotes the number of deluxe copies and y denotes the number of standard copies published and sold daily. The total daily cost of publishing these dictionaries is given by



dollars. Determine how many deluxe copies and how many standard copies Weston should publish each day to maximize its profits. Please round the answers to the nearest integer.What is the maximum profit realizable? Please round the answer to the nearest dollar.


A. 815 deluxe copies, 1,051 standard copies; $13,281
B. 815 deluxe copies, 1,296 standard copies; $13,281
C. 938 deluxe copies, 1,296 standard copies; $8,694
D. 938 deluxe copies, 1,051 standard copies; $8,694
E. 938 deluxe copies, 1,051 standard copies; $15,637

Mathematics