onsider the equation below. (If an answer does not exist, enter DNE.)f(x)x< + 4(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)(-2,2)Find the interval on which fis decreasing. (Enter your answer using interval notation.)(b) Find the local maximum and minimum values of f.local minimum value-0.25local maximum value0.25(c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.)V3-2/3,-8.(х, у)- ((х, у) %30,0(x, y) = ( 2/3,Find the interval on which f is concave up. (Enter your answer using interval notation.)Find the interval on which f is concave down.(Enter your answer using interval notation.)

I have done the red cross part of the question mention

Answered: onsider the equation below. (If an…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Rational Functions And Conics

Section4.2: Graphs Of Rational Functions

Problem 82E: Concentration of a Mixture A 1000-liter tank contains 50 liters of a 25brine solution. You add...

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Similar questions

Path of a Diver The path of a diver is modeled by f(x)=49x2+249x+12 where f(x) is the height (in feet) and x is the horizontal distance (in feet) from the end of the diving board. What is the maximum height of the diver?
Concentration of a Mixture A 1000-liter tank contains 50 liters of a 25brine solution. You add xliters of a 75brine solution to the tank. (a) Show that the concentration C, the proportion of brine to total solution, in the final mixture is C=3x+504(x+50). (b) Determine the domain of the function based on the physical constraints of the problem. (c) Sketch the graph of the concentration function. (d) As the tank is filled, what happens to the rate at which the concentration of brine is increasing? What percent does the concentration of brine appear to approach?
Maximum Profit The profit P (in dollars) generated by selling x units of a certain commodity ¡s given by P(x)=1500+12x0.0004x2 What is the maximum profit, and how many units must be sold to generate it?
Finding a Minimum Suppose the function f=x392x2+6x+1 describes a physical situation that makes sense only for whole numbers between 1 and 5. For what value of x does f reach a minimum and what is that minimum value?
Radius of a Shock Wave An explosion produces a spherical shock wave whose radius R expands rapidly. The rate of expansion depends on the energy E of the explosion and the elapsed time t since the explosion. For many explosions, the relation is approximated closely by R=4.16E0.2t0.4. Here R is the radius in centimeters, E is the energy in ergs, and t is the elapsed time in seconds. The relation is valid only for very brief periods of time, perhaps a second or so in duration. a. An explosion of 50 pounds of TNT produces an energy of about 1015 ergs. See Figure 2.71. How long is required for the shock wave to reach a point 40 meters 4000 centimeters away? b. A nuclear explosion releases much more energy than conventional explosions. A small nuclear device of yield 1 kiloton releases approximately 91020 ergs. How long would it take for the shock wave from such an explosion to reach a point 40 meters away? c. The shock wave from a certain explosion reaches a point 50 meters away in 1.2 seconds. How much energy was released by the explosion? The values of E in parts a and b may help you set an appropriate window. Note: In 1947, the government released film of the first nuclear explosion in 1945, but the yield of the explosion remained classified. Sir Geoffrey Taylor used the film to determine the rate of expansion of the shock wave and so was able to publish a scientific paper concluding correctly that the yield was in the 20-kiloton range.
Height of a Ball If a ball is thrown directly upward with a velocity of 40 ft/s, its height (in feet) after t seconds is given by y=40t16t2 . What is the maximum height attained bythe ball?
Drug Concentration When a drug is administered orally, it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as C=2.65(e0.2te2t) What is the maximum blood-level concentration, and when does that level occur?
Formula for Maximum and Minimum Values Find the maximum or minimum value of the function. f(t)=3+80t20t2
The lens Equation If F is the focal length of a convex lens and an object is placed at a distance x from the lens, then its image will be at a distance y from the lens, where F, x, and y are related by the lens equation 1F=1x+1y Suppose that a lens has a focal length of 4.8 cm and that the image of an object is 4 cm closer to the lens than the object itself. How far from the lens is the object?

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