An equilateral triangle has an area (A) that increases at 9 cm2/s. How fast are the lengths of the sides of the triangle (x) increasing at the moment when the length of the sides is 3 cm?

Q: A balloon released at point P rises vertically with a constant speed of 6 m/s. Point Q is level with…

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Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

Q: stone is dropped into a quiet lake and ripples move in circes at the speed of 5cm/sec. At the…

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Q: A television camera is positioned 6 km from the base of a rocket launching pad. The rocket rises…

A: The television camera is positioned  from the rocketThe rocket is rising

Q: 2. Write the formula for area of a circle: (a) Which two variables are related by this formula? (b)…

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Q: #13 The radius of a sphecical blloon is increasing at the cate of 3inches per second, How fast is…

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Q: Suppose you always keep your eyes fixed on the very top of a 100 m building. Suppose you start to…

A: Height of building = 100 m Let x be the base distance from the building Head angle = θ tanθ=100x

Q: A child flies a kite at 90ft. The wind is carrying the kite horizontally away from the child at a…

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Q: Q12. If fla)= tann- 3 secu find f'(a) = find f'E) =

A: first derivative of f(x) is f'(x)= cos x+3sinx