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1) Find first four solutions to 6 sin(3) = 5. Give your answers EXACTLY. No credit will be given for decimal approximations. 2) Suppose the

1) Find first four solutions to 6 sin(3) = 5. Give your answers EXACTLY. No credit will be given for decimal approximations.

2) Suppose the depth of a particular pond (in inches) varies annual according to the function below, where is the number of months since March 1. (For simplicity, assume all months are approximately the same length.)

() = 18 cos ( /6) + 10

A)How deep is the pond on May 1?

B)We'd like to know the first time in the year when the pond drops to a depth of 10 inches. Set your function from part (a) equal to 10, and solve the equation for the trig function in it. Show all your work! What month and approximate day is this? Round your answer.

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