What is (V | and find the relative minimum dx point as indicated by the black dot on the graph at the right. 1. derivative = e. minimum at (x, y) = A. (e В.
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A: Given:
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- the value of x at which the FOC is satisfied give us the ........(maximum/minimum) of the function because the second derivative is ..........(positive/negative).Given a right circular cone with an altitude of 5 cm and a base diameter of 8 cm. If the diameter is increased by 0.04 cm and the altitude is likewise increased by 0.03 cm, find the approximate increase in volume. Use partial derivative for your detailed solution.Explain how the First Derivative Test determines whetherƒ(x) = x2 has a local maximum or local minimum at the critical point x = 0.
- I am not sure how to get the marginal average cost with partial derivativesI have the following question where its required to calculate the partial derivative, please if able to it as elaborate and step by step as possible, thank you in advanceThere is a tank in the shape of a paraboloid: Water is being pumped into the tank at a constant rate of 2π cubic inches per minute. If y denotes the water level, then the volume of water is given by V = πy2 / 2. (a) Suppose that the height of the paraboloid is 10 inches. Let a denote the rate of change of water level when y = 1 inch and let b denote the rate of change of water level when y = 5 inches. Without computing anything, do you suspect that a or b is greater? (b) Confirm your suspicion by explicitly computing a and b
- Give an example of a differentiable function ƒ whose first derivative is zero at some point c even though ƒ has neither a local maximum nor a local minimum at c.Assume that a company's marginal cost function for the manufacture of x phones per hour is c(x) = 180 − 0.006x, and that they sell the phone for an average wholesale price of $520. Use a Riemann sum with n = 5 subdivisions to estimate the total additional hourly profit corresponding to an increase in production and sales from 10,000 to 20,000 phones per hour. (Use a left Riemann sum to find your answer.)Use variation of parameters to write the forced solution in terms of a definite integral.