Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) F(t)3t 5t% + 20 (t, y) relative maximum (t, y) relative minimum Need Help? Talk to a Tutor
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- Suppose that the price per unit in dollars ofa cell phone production is modeled by p=450.0125x, where x is in thousands ofphones produced, and the revenue represented by thousands of dollars is R=xp. Find theproduction level that will maximize revenue.Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) F(t)=3t5 - 20t3 + 25 relative maximum (x, y) = ( ) relative minimum (x, y) = ( )Find the relative extrema forf(x)=x^4+32x^2 Enter your answers as an ordered pair. Enter DNE if there is not a relative maximum or minimum.Relative maximums: Relative minimums:
- For some positive constant , a patient's temperature change, T , due to a dose, D , of a drug is given by T = (C/2-D/3)D^2 What dosage maximizes the temperature change? The sensitivity of the body to the drug is defined as . What dosage maximizes sensitivity?Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) F(t) = 3t5 − 5t3 + 12 relative maximum (x,y)= relative minimum (x,y)=An inferior product with a large advertising budget sells well when it is introduced, but sales fall as people discontinue use of the product. Suppose that the weekly sales S are given by S = 100t/(t + 6)^2 , t ≥ 0 where S is in millions of dollars and t is in weeks. After how many weeks will sales be maximized? weeks
- f=x^3-21/2x^2+36x+1 For what value of x does f reach a minimum? x=? What is the minimum value?An inferior product with a large advertising budget sells well when it is introduced, but sales fall as people discontinue the use of the product. Suppose that the weekly sales S are given by S=200t/(t+8)^2, t> or equal to 0. where S is in millions of dollars and t is in weeks. After how many weeks will sales be maximized? ________weeksQ / f(x)=6X2-3x+2 find areas of concavity and convexity? And areas of increasing and decreasing? And the upper and lower extremes
- f(x)= 36x + 3x^2 - 2x^3 where is f increasing? Where is f decreasing? For what x values, if any, does f a relative maximum and what x values, if any, does f have a relative minimum?Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y=102t+1/2t2-t3 (a) After how many hours will the hourly number of units be maximized? (b) What is the maximum hourly output?the maximum value of the function y