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Question: Let g(x) = √x and f(x) = kx2, where k is a constant.
(a) Find the slope of the tangent line to the graph of g at the point (4, 2).
(b) Find the equation of this tangent line.
(c) If the graph of f contains the point (4, 2), find k.
(d) Where does the graph of f intersect the tangent line found in part (b)?
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Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system.
Let A = Compute AD and DA: Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Find a 3 X 3 matrix B, not the identity matrix or the zero matrix, such that AB = BA.
Suppose you estimate the quotient 472 ÷ 58 using 500 ÷ 50 and using 420 ÷ 60. Which estimate should give a high estimate? Which estimate should give a low estimate? Explain the reasoning.
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Find the gradient and the intercept of the following linear equation.
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