Find the indicated trigonometric function, given that ? is an angle in standard position with the terminal side passing through the given point.(1.5, -3.6); Find tan ?.

A. - 
B. - 
C.
D.


Answer: B

Mathematics

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Find Pk+1 from the given statement Pk.Pk: (k + 1)(k2 - k + 1) = k3 + 1

A. Pk+1: (k + 2)[(k + 1)2 - k + 2] = (k + 1)3 + 1 B. Pk+1: (k + 2)[(k + 1)2 - k + 2] = k3 + 2 C. Pk+1: (k + 2)[(k + 1)2 - k] = (k + 1)3 + 1 D. Pk+1: (k + 2)[(k + 1)2 - k] = k3 + 2

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Identify the conic that the polar equation represents. Also, give the position of the directrix.r = 

A. ellipse, directrix perpendicular to the polar axis 2 left of the pole B. ellipse, directrix perpendicular to the polar axis 2 right of the pole C. ellipse, directrix parallel to the polar axis 2 below the pole D. ellipse, directrix parallel to the polar axis 2 above the pole

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Solve the problem.How many liters of a 10% alcohol solution must be mixed with 60 liters of a 70% solution to get a 20% solution?

A. 360 L B. 36 L C. 30 L D. 300 L

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Solve the problem.The volume of a sphere is given by the formula V = ?r3 where r is the radius. A tumor is approximately spherical in shape. Use V'(r) to estimate the increase in volume of the tumor if its radius increases from  to . Round to the nearest 100 mm3.

A. 200 mm3 B. 2900 mm3 C. 1600 mm3 D. 2100 mm3

Mathematics