Find an equation for the line tangent to the given curve at the indicated point.y = x3 - 25x + 2 at (5, 2)

A. y = 50x + 2
B. y = 52x - 248
C. y = 50x - 248
D. y = 2


Answer: C

Mathematics

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Write an equation for a function that has a graph with the given characteristics.The shape of y = ?x? is vertically stretched by a factor of 3.9. This graph is then reflected across the x-axis. Finally, the graph is shifted 0.59 units downward.

A. f(x) = 3.9?x - 0.59? B. f(x) = -3.9?x? - 0.59 C. f(x) = 3.9?-x? - 0.59 D. f(x) = 3.9?x? - 0.59

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Solve the problem.The formula  models the safe maximum speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature, r, in feet. A highway crew measures the radius of curvature at an exit ramp as 810 feet. What is the maximum safe speed?

A. 81 mph B. 50 mph C. 42 mph D. 45 mph

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