Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = u2, u = 2x - 3

A. 8x - 12
B. 4x - 6
C. 12x - 6
D. 8x


Answer: A

Mathematics

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Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation.(a + 1) + (a + b) + (a + b2) + . . . + (a + bn)

A.
B.
C.
D.

Mathematics

Provide an appropriate response.Raise the term to the indicated power:   4

A.
B.
C. ab16
D.

Mathematics

Solve the problem.The linear equation y = 443x + 3420 provides an approximation of the annual cost (in dollars) of health insurance for a family of three, where  represents 2011,  represents 2012, and so on. Write an equation that yields the same y-values when the exact year number is entered.

A. y = 443(2010 - x) + 3420 B. y = 443(2011 - x) + 3420 C. y = 443(x - 2010) + 3420 D. y = 443(x - 2011) + 3420

Mathematics

Use the power rule and the power of a product or quotient rule to simplify the expression.(-7x9y9z)3

A. -343x9y9z B. 343x12y12z C. -343x27y27z3 D. -21x28y28z4

Mathematics