MAis decreasing.f(x) = x°7°(x+2)3/5Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete yourA. A local maximum occurs at(Type an ordered pair. Round to the nearest thousandth as needed.)There is no local maximum.Find the local minima. Select the correct choice below and, if necessacy, fill n the answer box to complete yourAfMER(5,-1.05)A. JA local minimum occurs at(Type an ordered pair. Round to the nearest thousandth as needed.)B. There is no local minimum.69:0),KaThe function is increasing øn the open interval(s)(Type your answer in interval notation. Round to the nearest thousandth as needed. Use a comma to separate aneeded.)The function is decreasing on the openinterval(s)-(Type your answer in interval notation. Round to the nearest thousandth as needed. Use a comma to separate aneeded.)8x5XPID: 4.3.37SAf"= 2425x3122513SxX,8x=D0t.5x55x5-3•(S)+15x%)=0.(5x38xSx²CK)=x3(5a3 )-0Gys)GOO:X+28x88x't5x3=8X+6%=D0%3Dx3cx+2)+ CX+2)xserivativeSerivative x5, x+2)+5,Kう42)+ CX+2 ).touse the termtryingCHO) +bx+2) dEx3x3+ CX+2) (3レXX.3-1.5(X+2

Answered: Image /qna-images/answer/5542f862-2fdd-494e-ba24-dc9dd7441f5d.jpg

Answered: MA is decreasing. f(x) = x°7°(x+2) 3/5…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 47E

See similar textbooks

Similar questions

h(t)=-0.2t^{4}+4t^{3}-24t^{2}+48t maxima and minima of this function?
How did you apply the concept of maxima/minima in answering the problem? Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house, which is on the shoreline and 6 kilometers from the point on the shoreline nearest Angelo. If he can row at 6 kph and run at 10 kph, how should he proceed to get to his house in the least amount of time?
A laser rangefinder is locked on a comet approaching earth. The distance g(x), in kilometers, of the comet after x days, for x in the interval 0 to 24 days, is given g(x)=250,000csc(pi/24*x). a) graph g(x) on the interval [0,28] b) evaluate g(4) c) what is the minimum distance between earth and the comet? When does it occur? To which constant in the equation does this correspond? d)what is the vertical asymptote?
Q1 : a) For the function f(x )=x^3 −12x,its local maximum is ____?____ which occurs at (___? __ ;its local minimum is ____?____ which occurs at (___? __ ;
A pizza baked at 400°F is removed from the oven at 4:00 PM into a room that is a constant 74°F. After 5 minutes, the pizza is at 300°F. The graphing window is [0,125,10] by [0,400,80]. a) using INTERSECT, approximately ___ minutes need to elapse before the pizza is 170°F.
According to Poiseuille's law, the speed S of blood through an artery of radius r at a distance x from the artery wall is given by S = k[r^2 - (r- x)^2] where k is a constant. Find the distance x that maximizes the speed
A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the comet after x days, for x in the interval 0 to 24 days, is given by g(x)=300,000csc(π24x). a. Select the graph of g(x) on the interval [0,28]. g(4)= ____________ c. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond? The minimum distance between the comet and Earth is ____________ km which is the __________. It occurs at ____________ days. d. Find and discuss the meaning of any vertical asymptotes on the interval [0,28]. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1 ). The order of the list does not matter. x= __________ At the vertical asymptotes the comet is
A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the comet after x days, for x in the interval 0 to 24 days, is given by g(x)=350,000csc(π24x). a. Select the graph of g(x) on the interval [0,28]. b. Evaluate g(4). Enter the exact answer. g(4)= c. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond? The minimum distance between the comet and Earth is km which is the Click for List . It occurs at days. d. Find and discuss the meaning of any vertical asymptotes on the interval [0,28]. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1 ). The order of the list does not matter. x= At the vertical asymptotes the comet is
f(x)=x^3+6x^2 -3x -5. Find all local minima and maxima positions as well as their optimal values. Is the local optimum solution also global?
While testing the path of the rocket while ascending towards the space, it was found that the rocket rises 480Kilo-meters in the first minute and then rises 99% of the distance travelled in the previous minute forsubsequent minutes.D. Generate a rule for the distance travelled in each minute, is this rule geometric or arithmetic?E. Find the maximum possible height that the rocket can reach.F. If the cargo was a satellite, then it must be placed in the geostationary orbit [it is the orbit above earthon which any placed object will remain fixed above a certain point on earth], which is 36’000 Kilometers above Earth’s surface. Determine the journey time required before switching the rocket enginesoff.Through the design process, you need to check multiple details in various components and parts of the rocketsystems. You had to solve the following equations throughout the process:G. The voltage, V, across a capacitor is given by: V= 9(1 − ?−0.1?). Evaluate the time taken, t, for V toequal 3…
given the following function f(x) = x2+4x-12/x2 solve for all of the following a) Find the vertical asymptotes and determine the behavior near the asymptote(s). b) Find the horizontal asymptote. c) Find the intervals of increase/decrease and any local maximum/minimum points. You must include a clear interval chart. d) Find the intervals of concavity and any points of inflection. You must include a clear interval chart.
The height of a mountain above sea level at point (x, y) is given by f(x, y). A mountain climber standing at a point P notices that the slope if moving towards the east is – 1/2 and the slope towards the north is -1/4. In which direction should the mountaineer move if he wants to descend the mountain in the fastest time?

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS