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A series of ocean waves have the form f(x) = 10 sin(23t) + 16 feet, where the ocean floor is at f(x) = 0 feet.

  1. A series of ocean waves have the form f(x) = 10 sin(23t) + 16 feet, where the ocean floor is at f(x) = 0 feet. What is the highest a wave reaches above the ocean floor? What is the period of the waves?

Height= Ft

Period=

  1. Use Newton's method to approximate a root of f(x) = 12x2 + 28x - 15 if the initial approximation is x0 = 1.

X1 -> X4

  1. A lamina has a shape given by the region below the graph of the function f(x) = 6x2 + 2 and above the x-axis over the interval [0,2]. The lamina has a substance with density p= 3. What is the mass of the lamina?

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