Find the derivative of the function  by using the rules of differentiation.
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Mathematics

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Provide an appropriate response.What effect does a 90° rotation of the coordinate axes have on the equation of the parabola -ax2 + y = 0? Give the new equation.

A. -av2 + u = 0 B. av2 + u = 0 C. au2 + v = 0 D. -au2 + v = 0

Mathematics

Solve the problem.Pennies are packaged 50 in a roll. A mother gave her son 107 pennies for his bank and she had 43 pennies left over. How many rolls of pennies did she use?

A. 4 rolls B. 5 rolls C. 3 rolls D. 6 rolls

Mathematics

Factor.x2 - 10x + 16

A. (x - 8)(x + 2) B. (x + 8)(x + 2) C. (x - 8)(x - 2) D. (x + 8)(x - 2)

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