At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested.y6 + x3 = y2 + 11x, normal at (0, 1)

A. y = - x + 1
B. y = x + 1
C. y = x + 1
D. y = - x


Answer: A

Mathematics

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A. x = 3.08, y = 2.35; x = -3.08, y = 2.35 B. No solution C. x = 3.08, y = 2.35; x = 3.08, y = -2.35 D. x = 3.08, y = 2.35; x = -3.08, y = 2.35; x = 3.08, y = -2.35; x = -3.08, y = -2.35

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The graph of the function f is shown below. Match the function g with the correct graph.g(x) = -f(-x) + 4

A.

B.

C.

D.

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Solve the inequality.|x - 4| < 0

A. (-4, ?) B. (-?, 4) C. (-4, 4) D. ?

Mathematics

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 490 feet. What is the maximum safe speed?

A. 32 miles per hour B. 35 miles per hour C. 49 miles per hour D. 40 miles per hour

Mathematics