Find the average value of the function on the given interval.f(x) = ; [1, 9]

A. 2.607
B. 2.805
C. 3.911
D. 2.318


Answer: A

Mathematics

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Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from the horizontal, and that the projectile is launched from the origin over a horizontal surfaceA baseball is hit when it is 2.2 ft above the ground. It leaves the bat with an initial velocity of  at a launch angle of 22°. At the instant the ball is hit, an instantaneous gust of wind blows against the ball, adding a component of -12.8i (ft/sec) to the ball's initial velocity. Find a vector equation for the path of the baseball.

A. r = (152 sin 22° - 12.8)ti + (2.2 + (152 cos 22°)t - 16t2)j B. r = (152 cos 22° - 12.8)ti + (2.2 + (152 sin 22°)t - 16t2)j C. r = ((152 cos 22°)t - 12.8)i + (2.2 + (152 sin 22°)t - 16t2)j D. r = (152 cos 22° - 12.8)ti + (2.2 + (152 sin 22°)t + 16t2j

Mathematics

Factor the following equation: xy2 - 16x2y

a. xy(y - 16x) b. x(y2 - 16x) c. (y2 - 16y) d. (16x3y3)

Mathematics

Multiply.(2p3 - 7q3)(2p5 + 6q5)

A. 4p8 + 12p3q5 + 14p5q3 + 42q10  B. 4p8 + 12p3q5 - 14p5q3 - 42q8  C. 4p15 + 12p3q5 + 14p5q3 + 42q25 D. 4p15 + 12p3q5 - 14p5q3 - 42q25 

Mathematics

Use the quotient rule to divide and simplify.

A.
B.
C.
D.

Mathematics