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1. 2. 3. 4. 5. A plane flying horizontally at an altitude of 4 mi and a speed of 475 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 10 mi away from the station. {image} mi/h {image} mi/h {image} mi/h

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A plane flying horizontally at an altitude of 4 mi and a speed of 475 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 10 mi away from the station.

  • {image} mi/h

  • {image} mi/h

  • {image} mi/h

  • {image} mi/h

  • {image} mi/h


Slide2 l.jpg

Two cars start moving from the same point. One travels south at 29 mi/h and the other travels west at 62 mi/h. At what rate is the distance between the cars increasing 5 hours later? Round the result to the nearest hundredth.

  • 68.55 mi/h

  • 68.48 mi/h

  • 66.45 mi/h

  • 68.45 mi/h

  • 69.46 mi/h

  • 68.44 mi/h


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A water trough is 20 m long and a cross-section has the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 65 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.1 {image} , how fast is the water level rising when the water is 45 cm deep? Round the result to the nearest hundredth.

  • 0.63 cm/min

  • -0.24 cm/min

  • 0.88 cm/min

  • 10.93 cm/min

  • 0.93 cm/min

  • 0.83 cm/min


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1. shape of an isosceles trapezoid that is 20 cm wide at the bottom, 65 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.1 {image} , how fast is the water level rising when the water is 45 cm deep? Round the result to the nearest hundredth.

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Two sides of a triangle are 3 m and 8 m in length and the angle between them is increasing at a rate of 0.01 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is {image} .

  • 5.06 {image}

  • 0.36 {image}

  • -0.94 {image}

  • 1.16 {image}

  • -1.94 {image}

  • 0.06 {image}


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A television camera is positioned 3,500 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let's assume the rocket rises vertically and its speed is 650 ft/s when it has risen 3,100 ft. If the television camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing at this moment? Round the result to the nearest thousandth if necessary.

  • 0.127 rad/s

  • 1.134 rad/s

  • 0.274 rad/s

  • 0.093 rad/s

  • 0.166 rad/s

  • 0.104 rad/s


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A runner sprints around a circular track of radius 190 m at a constant speed of 3 m/s. The runner's friend is standing at a distance 250 m from the center of the track. How fast is the distance between the friends changing when the distance between them is 250 m? Round the result to the nearest thousandth if necessary.

  • 2.803 m/s

  • 2.775 m/s

  • 2.728 m/s

  • 2.723 m/s

  • 3.985 m/s

  • 2.885 m/s


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