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need help to solve. please see attached. Find the slope of the tangent line to the graph of the function at the given point. f(x)

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need help to solve. please see attached.

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Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 4x2 at (-1, -9) m = Determine an equation of the tangent line. y = Let f be defined as follows. y = f(x) = x2 - 3x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 6 to x = 7 from x = 6 to x = 6.5 from x = 6 to x = 6.1 (b) Find the (instantaneous) rate of change of y at x = 6. A hot-air balloon rises vertically from the ground so that its height after t s is given by the following function. h = 1+2 + Lift where (0 s t = 60) (a) What is the height (in ft) of the balloon at the end of 44 sec? ft (b) What is the average velocity (in ft/sec) of the balloon between t = 0 and t = 44? ft/sec (c) What is the velocity at time t? v (t ) = What is the velocity (in ft/sec) at the end of 44 sec? ft/sec

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