The path traveled by a roller coaster is modeled by the following equation, where x represents the horizontal distance (in feet) and y represents the vertical distance (in feet) from the roller coaster's
starting point:
y=31 sin 5x + 32
What is the maximum height (in feet) of the roller coaster?
Type your numerical answer below.
maximum height =
feet

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step-by-step explanation:

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.