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Kennedy C.

Princeton University Student, Experienced Tutor

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SAT

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Question:

If (a/b) = 4, what is the value of (3b/a)? A) 0 B) 3/4 C) 4/3 D) 12

Kennedy C.

Answer:

B) 3/4 Explanation: Find the reciprocal of (a/b) which equals (b/a)=1/4. Now multiply by 3. 3 x (1/4) = 3/4

Calculus

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Question:

Use the definition of the derivative to find the derivative of f(x) = 4

Kennedy C.

Answer:

f'(x) = 0 Explanation: plug into the basic formula for the definition of the derivative and solve f'(x)= lim [ f(x+h) - f(x) ] / h = lim (4 - 4) / h = lim 0 / h = lim 0 = 0 h->0 h->0 h->0 h->0

ACT

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Question:

The length of a rectangle is 5 times its width. If the width of the rectangle is 4 inches, what is the rectangle's area, in square inches? A) 20 B) 24 C) 40 D) 80 E) 120

Kennedy C.

Answer:

D) 80 Explanation: Length = 5 x 4in = 20in; Area = length x width = 20in x 4in = 80 square inches

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