Graph the function.y = -cos ?x
A.
B.
C.
D.
Answer: A
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Find the gradient field of the function.f(x, y, z) = x8y4 +
A. ?f = (8x7 + 6x5)i + 4y3j - k
B. ?f = 8x7y4i + 4x8y3j - k
C. ?f = (8x7 + 6x5)i + 4y3j + k
D. ?f = i + 4x8y3j -
k
Solve the problem.The optimal angle of elevation ? that a shot-putter should aim for in order to throw the greatest distance depends on the velocity v of the throw and the initial height h of the shot. One model for ? that achieves this maximum distance is ? = sin-1. Suppose a shot-putter can consistently release the steel ball with velocity of 40 feet per second from an initial height h of 5.7 feet. What angle, to the nearest degree, will maximize the distance?
A. 68° B. 46° C. 42° D. 64°
Factor completely.-80y2 - 36y - 4
A. (5y + 1)(-16y - 4) B. (-20y - 4)(4y + 1) C. -4(5y - 1)(4y - 1) D. -4(5y + 1)(4y + 1)
Use the product-to-sum or sum-to-product identities to find an identity for the given expression. sin 30° cos 38°
A. (cos 68° + sin 8°)
B. (sin 68° - sin 8°)
C. 2(sin 68° - sin 8°)
D. (sin 8° - sin 8°)