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A: Velocity is the derivative of position with respect to time.
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A: Differentiate volume wrt t
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Q: Calculate the derivative: + (2t3 – 9t) dt = dz
A: Evaluate the given derivative as follows. ddx∫0x2t3-9tdt=ddx2t44-9t220x=ddx2x44-9x22-0
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A: Introduction: When an equation is given, we can determine the function value by putting different…
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Q: At a certain moment, an object in linear motion has velocity 100 m/s. Estimate the distance traveled…
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Q: What is Newton's method in application of derivatives?
A: We have to write what is Newton's method
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Q: Answer the following True or False: "Rate of change", "marginal profit", "marginal cost", "marginal…
A: First derivative means rate of change of the any function with respect to the variable given in it.
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Q: Acceleration is the first time derivative of velocity
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Q: b) Suppose a ball is thrown downward with a speed of 8 meters per second from a height of 75 meters.…
A: Given: Suppose a ball is thrown downward with a speed of 8 meters per second from a height of 75…
Q: Use differentials to approximate the change in the area of a square if the length of its side…
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A: Given dr/dt = 3
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Q: Suppose the side of a cube is decreasing at a rate of 2 feet per hour. What is the rate of change of…
A: Given: ds/dt=2 side=4ft
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Q: here is a constant inflow of a liquid into a conical vessel 15 feet deep and 7.5 feet in diameter at…
A: The height of the conical vessel h = 15 feet. Diameter of the lop d = 7.5 feet, The radius of the…
Q: What is the difference between an object with constant acceleration and an object with constant…
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A: To find: The velocity at the highest point reached by the stone. Given: The initial velocity of the…
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A: Let b and h be the base and height of the trianglegiven rate at which base is decreasing, dbdt=4cm/s…
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Q: When the velocity v of an object is very large, the magnitude of the force due to air resistance is…
A: Consider the provided question, Given , mass of the shell = 2 kg Acceleration due to gravity = 9.81…
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