Sketch the graph of the parabola.y = - x2 + 7

A.

B.

C.

D.

Answer: A

Mathematics

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Find by using the Chain Rule. Express your final answer in terms of t.w = x3y2; x = t4, y = t3

A. 19t18 B. 12t11 + 6t5 C. 17t16 D. 18t17

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Mathematics

Compute r''(t).r(t) = (cos 3t)i + (2 sin t)j

A. r''(t) = (-3 cos 3t)i + (2 sin t)j B. r''(t) = (-9 cos 3t)i + (-4 sin t)j C. r''(t) = (9 cos 3t)i + (-2 sin t)j D. r''(t) = (-9 cos 3t)i + (-2 sin t)j

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Find the gradient field F of the function f.f(x, y, z) = x7y6 +

A. F = (7x⁶ + 8x⁷)i + 6y⁵j - k
B. F = 7x⁶y⁶i + 6x⁷y⁵j - k
C. F = i + 6x⁷y⁵j - k
D. F = (7x⁶ + 8x⁷)i + 6y⁵j + k

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Mathematics

Solve the problem.John earns $13.28/hour. If he works 17 hours, how much will he earn?

A. $225.77 B. $226.86 C. $225.76 D. $225.86

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Mathematics