Let g(x)=2x²-1. (a) Find the average rate of change from - 1 to 8. (b) Find an equation of the secant line containing (-1, g(-1)) and (8. g(8)).

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A: The given series is

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Q: Consider the function f(x) = 3x² - 10x +9, 0≤x≤7.

A: f(x)=3x2−10x+9,0≤x≤7

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A: Consider the figure

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Q: 14- 10 8 6 4 2 TO -B -10 810

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Q: If y = cos² 3x, then =? dy dx dy dx O dy dx dy dx = 6 cos 3x = = -2 cos 3x -6 sin(3x) cos(3x)

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Q: =D x. 19

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Q: For y = f(x) = 7x², find f(x₁+AX)-f(x₁) Ax || f(x₁ +Ax) -f(x₁) Ax given x₁ = 5 and Ax=2.

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Q: 1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In…

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Q: Show that the functions are linearly dependent on the real number line: y1 = 17; y2 = 3cos2x; y3 =…

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