Related RatesSpeed of moving particle The coordinates of a

Chapter 3, Problem 147PE

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QUESTION:

Problem 147PE

Related Rates

Speed of moving particle The coordinates of a particle moving in the metric xy-plane are differentiable functions of time t with dx/dt = 10 m/sec and dy/dt = 5 m/sec. How fast is the particle moving away from the origin as it passes through the point (3,–4)

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QUESTION:

Problem 147PE

Related Rates

Speed of moving particle The coordinates of a particle moving in the metric xy-plane are differentiable functions of time t with dx/dt = 10 m/sec and dy/dt = 5 m/sec. How fast is the particle moving away from the origin as it passes through the point (3,–4)

ANSWER:

Solution: 

Step 1 of 3:

In this problem, we have to find the speed of moving particle away from the origin as it passes through the point (3,–4)

The differentiable function of time t with dx/dt = 10 m/sec and dy/dt = 5 m/sec

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