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)]
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and
A. 0
B.
C.
D. -
Evaluate the improper integral.
A.
B.
C.
D.
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.
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Factor.5n3 - 4n2 - 80n + 64
A. (n + 4)(n + 4)(5n - 4) B. (n - 4)(n - 4)(5n + 4) C. (n + 4)(n - 4)(5n - 4) D. (n + 4)(n - 4)(5n + 4)