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1. The depth D of the water in channel at time (measured in hours) is given by D(t) = 1.5 cos(0.2π t) +8.0; t≥0 where th
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1. The depth D of the water in channel at time (measured in hours) is given by D(t) = 1.5 cos(0.2π t) +8.0; t≥0 where th
1. The depth D of the water in channel at time (measured in hours) is given by D(t) = 1.5 cos(0.2π t) +8.0; t≥0 where the depth is measured in meters. The start t = 0 corresponds to 8 a.m. IMPORTANT: all the formulas for derivative rules of trig functions are valid if you are in RADIAN mode. a. What is the depth of the water at 10 a.m.? Make sure to be in radian mode. Write a final statement. Round to 1 decimal. b. Find the rate of change of the depth at a generic time t. You will need to use the chain rule for the cosine function. c. At what rate is the depth of water changing at 10 a.m. ? Is it increasing or decreasing? Write a final statement with all the correct units. Make sure to be in radian mode. Round to 1 decimal.
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