WS22-Related Rates_131_ak_april8

2 5 02 22 5 4 5 22 02 4 the volume of a

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Unformatted text preview: g when the circumference is 5 meters and the height is 22 meters? 2 5 0.2 22 + 5 4 = → =? = →5 ℎ → 22 = 0.2 =4 The volume of a tree is increasing at a rate of approximately 3.82 circumference is 5 meters and a height of 22 meters. per year when the WS 22 (cont) 6. A truck equipped with a special radar detection system is parked 40 miles from the launch site of a recently fired rocket. As the rocket ascends the angle formed between the driver and the rocket is increasing (see figure below). How fast is the driver’s angle changing at the moment the rocket is traveling 400 miles per hour and the distance from the rocket and the truck is 50 miles. Give units. z y ↑ x Launch site = 40 =0 = = → = = ∗ = 400 → 50 → =? ? ∗ = ∗ = ∗ 400 ∗ ∗ cos = 6.4 /ℎ Angle is moving at a rate of 6.4 radian per hour or 0.017 radians per minute. 7. A truck is traveling to a launch site, where a rocket has been launched. How fast is the passenger’s angle changing at the moment the truck is 40 miles from the launch site and is traveling at a speed of 75 miles per hour? The rocket at that particular time is traveling at a rate of 400 miles per hour. The distance from the rocket and the truck is 50 miles. z ↑ y x Launch site → 40 = −75 → = 400 → 50 → = =? ? /ℎ = ∗ = ∗ = = ∗ ∗ ∗ ∗ cos ∗ = 7.3 Angle is moving at a rate of 7.3 ra...
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