Find the derivative of y with respect to the independent variable.y = (cos ?)

A. - cos ? sin ?
B. (cos ?)-1
C. -(cos ?)-1 sin ?
D. -(cos ?)-1 sin ?


Answer: D

Mathematics

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Solve the problem.A committee is to be formed. Possible candidates for the committee are Eric, Frances, Greg, and Jose. Denoting these four people by e, f, g, j, list all possible committees if the committee is to contain at least two people and may contain up to four people.

A. {e, f}, {e, g}, {e, j}, {f, j}, {e, f, g}, {e, f, j}, {e, g, j}, {f, g, j}, {e, f, g, j} B. {e, f}, {e, g}, {e, j}, {f, g}, {f, j}, {g, j}, {e, f, g}, {e, f, j}, {f, g, j}, {e, f, g, j} C. {e, f}, {e, g}, {e, j}, {f, g}, {f, j}, {g, j}, {e, f, g}, {e, f, j}, {e, g, j}, {f, g, j}, {e, f, g, j} D. {e, f}, {e, g}, {e, j}, {f, g}, {f, j}, {g, j}, {e, f, g}, {e, f, j}, {e, g, j}, {f, g, j}

Mathematics

Solve the problem.Suppose that a household appliance draws a current represented by the relation  where t is time measured in seconds. The power consumed by the appliance is  where R is a constant. Take R to be 12 and graph the power in  by  and use an identity to write the expression for the power in the form 

src="https://sciemce.com/media/4/ppg__rrrr0629191332__f1q189g5.jpg" alt="" style="vertical-align: -4.0px;" /> where a, k, and d are constants.

A. P = 150 cos(240?t) + 150
[0, 0.04, 0.01] by [-200, 2000, 200]

B. P = 300 cos(240?t) + 300
[0, 0.04, 0.01] by [-200, 2000, 200]

C. P = 150 cos(120?t) + 150
[0, 0.04, 0.01] by [-200, 2000, 200]

D. P = -150 cos(240?t) + 150
[0, 0.04, 0.01] by [-200, 2000, 200]

Mathematics

Find the vertices and the foci of the given ellipse. +  = 1

A. V: (0, -20), (0, 20); F: (0, -12), (0, 12) B. V: (-20, 0), (20, 0); F: (0, -16), (0, 16) C. V: (-20, 0), (20, 0); F: (-12, 0), (12, 0) D. V: (0, -20), (0, 20); F: (-16, 0), (16, 0)

Mathematics

Determine whether the vectors  and  are equivalent.A(5, 8), B(7, 15), C(0, 0), and D(2, 6) 

A. Equivalent B. Not equivalent

Mathematics