Solve the problem.An object is propelled upward at an angle ?, 45° < ? < 90°, to the horizontal with an initial velocity of v0 feet per second from the base of a plane that makes an angle of 45° with the horizontal. If air resistance is ignored, the distance R that it travels up the inclined plane is given by the function R(?) = [sin(2?) - cos(2?) - 1]. Show that R(?) = [sin ?(cos ? + sin ?) - 1]. 

What will be an ideal response?


R(?) = [sin(2?) - cos(2?) - 1] = [2 sin? cos ? - (1 - 2 sin2 ?) - 1]  =  ? 2 [sin? (cos ? + sin ?) - 1)] 

Mathematics

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Using Green's Theorem, find the outward flux of F across the closed curve C.F = - i ; C is the region defined by the polar coordinate inequalities  and 

A. 0
B.
C.
D. - 

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Evaluate the improper integral.

A.
B.
C.
D.

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Solve the right triangle. If two sides are given, give angles in degrees and minutes.A = 16° 21', c = 225 ftRound side lengths to two decimal places.

A. B = 73° 39'; a = 62.77 ft ; b = 215.01 ft B. B = 74° 38'; a = 63.34 ft; b = 211.90 ft C. B = 73° 39'; a = 63.34 ft; b = 215.90 ft D. B = 73° 38'; a = 66.54 ft; b = 217.10 ft

Mathematics

Factor.5n3 - 4n2 - 80n + 64

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Mathematics