Find an expression for dy/dx.y = (u + 7)(u - 7) and u = x2 + 6

A. 2(x2 + 6) + 2x
B. 4x(x2 + 6)2
C. 2(x2 + 6)
D. 4x(x2 + 6)


Answer: D

Mathematics

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Find the arc length parameter along the curve from the point where t = 0 by evaluating r(t) = (1 + 5t)i + (1 + 8t)j + (4 - 4t)k

A. 4t
B. t
C. t
D. t

Mathematics

Add or subtract. Express the answer as a mixed number.3 + 17

A. 21
B. 19
C. 20
D. 3

Mathematics

Provide an appropriate response.If an object is dropped, the distance it falls after t seconds is given by d = gt2. A student is determining how long it would take an object to fall 91 feet on planet x having gravity 9 ft/sec2. The student determines the two solutions . Are both correct answers? Why or why not?

What will be an ideal response?

Mathematics

Solve the problem.The weight of a body above the surface of the earth varies inversely as the square of its distance from the center of the earth. What is the effect on the weight when the distance is multiplied by 2?

A. The weight is divided by 2. B. The weight is divided by 4. C. The weight is multiplied by 2. D. The weight is multiplied by 4.

Mathematics