Pre-Cal 40S Slides October 16, 2007

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More review of transformations & trig applications.

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Pre-Cal 40S Slides October 16, 2007

  1. 1. This equation gives the depth of the water, h meters, at an ocean port at any time, t hours, during a certain day. (a) Explain the significance of each number in the equation: (i) 2.5 (ii) 12.4 (iii) 1.5 (iv) 4.3 (b) What is the minimum depth of the water? When does it occur? (c) Determine the depth of the water at 9:30 am. (d) Determine one time when the water is 4.0 meters deep.
  2. 2. This equation gives the depth of the water, h meters, at an ocean port at any time, t hours, during a certain day. t=0 at midnight the day before. (a) Explain the significance of each number in the equation: (i) 2.5 (ii) 12.4 (iii) 1.5 (iv) 4.3 (b) What is the minimum depth of the water? When does it occur? (c) Determine the depth of the water at 9:30 am. (d) Determine one time when the water is 4.0 meters deep.
  3. 3. This equation gives the depth of the water, h meters, at an ocean port at any time, t hours, during a certain day. (c) Determine the depth of the water at 9:30 am. (d) Determine one time when the water is 4.0 meters deep.
  4. 4. This equation gives the depth of the water, h meters, at an ocean port at any time, t hours, during a certain day. (d) Determine one time when the water is 4.0 meters deep.
  5. 5. A Ferris whell has a radius of 20 m. It rotates once every 40 seceonds. Passengers get on at point S, which is 1 m above ground level. Suppose you get on at S and the wheel starts to rotate. (a) Graph how your height above the ground varies during the first two cycles. (b) Write an equation that expresses your height as a function of the elapsed time.
  6. 6. A Ferris whell has a radius of 20 m. It rotates once every 40 seceonds. Passengers get on at point S, which is 1 m above ground level. Suppose you get on at S and the wheel starts to rotate. (c) Determine your height above the ground after 45 seconds.
  7. 7. A Ferris whell has a radius of 20 m. It rotates once every 40 seceonds. Passengers get on at point S, which is 1 m above ground level. Suppose you get on at S and the wheel starts to rotate. (d) Determine one time when your height is 35 m above the ground.

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