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Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of

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Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal. f(x) = In (2 -x2 + 2x4); x=1 f'(x) =] The equation of the line tangent to the graph of fat x = 1 is y = ]. Select the correct choice below and fill in any answer boxes in your choice. O A. The value(s) of x where the tangent line is horizontal is/are (Simplify your answer. Use a comma to separate answers as needed.) O B. The tangent line is never horizontal.The radius of a spherical balloon is increasing at the rate of 0.9 cm/minute. How fast is the volume changing when the radius is 7.7 cm? The volume is changing at a rate of :l cmslminute. (Type an integer or a decimal Round to one decimal place as needed) The price-demand equation for hamburgers at a fast food restaurant is given by the equation below. Currently the price ofa hamburger is $3.00. If the price is increased by 15%, how will the revenue be affected? x + 500p = 3500 If the price is increased by 15%, the revenue will V be equal to 0' increase decrease.

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