f(x) x-2 g(x) Use the graphs of f and g and their tangent lines at (2, 0) to find lim y 2 1 y = 1.9 (x-2) g -1 -2F x 1 2 3 4 4 y==(x-2) 5

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A: Given: y=4x3+32   . . . (1) We have to find the equation of the tangent line to the graph of the…

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A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: 62²(2³-128) (³+64)³ Consider the function f and its derivatives f(x)=3+64 f'(x)= -2(³-32) (+64)2…

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Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

Q: If g(x) is the graph of f(x), x^3, shifted right 2 units, write the formula of g(x)

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Q: 29(2²). (a) Let f and g be two differentiable functions such that f(x) The line tangent to the graph…

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Q: Explain how to find f (a) geometrically from the graph of y = f (x).

A: Explain how to find f (a) geometrically from the graph of y = f (x).

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Q: Graph the functions f(x)= -2x -1 and g(x)= -1/2(x-2)^3 - 5 by hand to determine graphically where…

A: First we have to graph both the functions using shifting, scaling and flipping.