Suppose an object moves along the y axis so that its location is y=f(x)=x²+x at time x (y is in meters, x is in seconds). Find (A) The average velocity (the average rate of change of y with respect to x) for x changing from 2 to 4. (B) The average velocity for x changing from 2 to 2+h. (C) The instantaneous velocity at x=2 second..

Q: 5. A particle travels along the curve ry = 15. As the particle reaches the point (5, 3), the…

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A: The solution is shown in step-2

Q: A'(0) A (5) A (10) A (15) A (20) -11mg/hr -6.66mg/hr -3.4mg/hr -2.16mg/hr -1.25mg/hr 4. Use a table…

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Q: Which graph in Figure 17 has the following property: For all x, the average rate of change over [0,…

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Q: 1) Consider the graph of the function f(x) = 5x -8x a) Find the slope of the secant by sketching a…

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Q: a) State the number of stationary points and label them approximately on the graph. b) Sketch f'(x)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Suppose the cost of producing q leather smartphone cases can be found with the function…

A: Consider the provided function, Cq=100+2q-0.01q2 We need to find the average rate of change of this…

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Q: Where do the minimum instantaneous rates of change occur for the function shown here? y y=-sinx TC…

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Q: Compute the average rate of change of f from x1 to x2. Interpret your result graphically.…

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Q: Find the rate of change of the given equation y = (2x-1)/(x^2+1) at (1,1).  Select correct answer:…

A: We can find the rate of change of the given equation at the indicated point as below

Q: 4 Determine the derivative of y = 3x

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

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A: Solution is given below

Q: What is the instantaneous rate of change of the function f ( x ) = 5 /x  at x = 3 ?

A: Given,        The instantaneous rate of change of the function fx=5x at x=3.We know that,…