Please solve it step by step, and provide the name of each property that you use here.Thanks. 19. Identify the critical points and the inflection points ofF(x) = (xa)(x + a)', for a > 0.%3D19. Critical pts. x = -a, a/2: inflectionpts. x == 0, -a

The given function f(x)=x-ax+a3

Answered: 19. Identify the critical points and…

19. Identify the critical points and the inflection points of (x) FX) = (x - a)(x + a)', for a > 0. 19. Critical pts. x = -a, a/2: inflection pts. x = 0, -a

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

See similar textbooks

Related questions

Q: 13) Find the radius and interval of convergence of the power series (-2)" (x+3)" 3

Q: y" + 4y = 4 cos x + 3 sin x – 8

A: For particular integral of cos ax or sin ax we put -a^2 in place of D^2 in F(D)

Q: ngle. Roun 20 km 34° A 25 km

A: According to our policies we are allowed to solve one question at a time. Kindly report the other qu...

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

Q: Find the slope of the line tangent to the graph of y= sin3x at x=pie/6

Q: dz 2+2vz

A: The given integral, ∫dz2+2z

Q: Express the repeating decimal as a fraction. 0.451141414141... 0.451141414141...

Q: Find cot (3pie)/4 without using a calculator.

Q: 28.lf a flash of lightning is observed in a cloud 2640 m away and the speed of sound in air is 330 m...

A: Given that: Distance between the observer and cloud=2640 mSpeed of sound=330 m/s

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

Q: y = |x + 4|

A: Given: - The equation is, y=x+4 Tp sketch: - The graph of the given equation by point plotting

Q: Use the differential to approximate the expression. Then use a calculator to approximate the quanti...

Q: ASK YOUR TEACHER PRA -x²/2 from x = 1 to x = 1.4. (Ro 27

A: Use Simpsons rule with four subdivisions to approximate the area (in units^2) under the probability ...

Q: Evaluate the limit. V x2 + 3 lim 3x² + 1 x- 00

A: Given: - The equation is, limx→∞x2+33x2+1 To Evaluate: - The limit of the given equation,

Q: a) Enter a definite integral that gives the volume of the solid when the region above is rotated abo...

Q: Consider the differential equation 2 = Let y = f(x) be the particular solution to the given differen...

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

Q: 2) Find the volume of the solid obtained by rotating region bounded by the given curves about the sp...

Q: Find the limit of the function as x approaches 2 from the right. a. 2 b. -1 c. 5 d. 0

A: Given query is to find the Indicated limit.

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 18 sin(x), a = . %3D (...

Q: 11) Determine whether the series is absolutely convergent, conditionally divergent. convergent, 1 2y...

A: Find your answer below

Q: X=3 cos 0 ST dx 1. 9– x2 May want an identity: Cos² 0 = (cos 20 + 1)/2

Q: DIFFERENTIAL EQUATION: Non-Homogenous Linear Differential Equation with Constant Coefficients # 6 on...

A: Follow the procedure given below.

Q: a) Write down 1D advection equation (advection is convection without diffusion) b) Find the correspo...

A: he wave equation is closely related to the so-called advection equation, which in one dimension take...

Q: S: sec h udu = tan"(sin h u) + C -1

A: Follow the procedure given below.

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where ...

Q: Let f(x, y)= Jxy +x+xcosy. (a) Find fxy-

Q: Use the Fundamental Theorem to calculate the definite integrals. 2 1 dx x+2 -1

Q: Evaluate the integral in terms of Beta function: ∫x^12(1−x)^16 dx limit: 0 to 1

Q: Find the most general antiderivative or indefinite integral. You may need to try a solution and then...

Q: Use substitution to convert the integral to an integral of rational functions. Then use partial frac...

Q: For the functiong whose graph is given, state the following. (a) lim g(x) = X- 00 (b) lim g(x) = X--...

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

Q: he monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her d...

A: Given query is to find the linear relationship , slope and the graph.

Q: substitution to convert the integral to an integral of rational functions. Then use partial fraction...

Q: gent subsequer O an = (-2)" O an = 1+ (-1)" · 10(-1)"-n n sin () %3D O an = O an = 1+2· (-1)"

Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

Q: Anwer these questions Logarithmic functions and their rules: what does log(x) look like on a graph ...

A: Here we have to use the graph of logarithmic function , polynomial and exponential function

Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y ...

Q: What is the average rate of change of f(x) from x1 = -0.2 to x2 = 7.8? Please write your answer roun...

Q: Consider the following sequence: {a,} = {n – n² } 2 +0 %3D Use an+1 - an to show that the given sequ...

A: Given that: {an}={n-n2}1∞

Q: 10 and 11 triangle Round your answers

Q: dz Find in the function xyz + 5xy = x² + y? + z? dy 2x – yz – x2 dy A. dz - - xy – 2z В. dz 2x – yz ...

Q: Find the complementary angle of 45.2°. The complementary angle of 45.2° is °. (Type an integer or a ...

A: Complementary agle =90°-angle =90°-45.2° =44.8°

Q: Evaluate the indefinite integral. | sec²(v#) dx

Q: Consider the differential equation = (3 - y)cos x. Let y = f(x) be the particular solution to the di...

A: The given differential equation is: dydx=3-ycos(x)

Q: What is the limit of the function as x approaches -4 from the left? a. does not exist b. 4 c. 2 ...

A: From the given graph we have to find the left side limit at x=-4

Q: 24.) The radiusr of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of c...

Q: 2. Suppose that h(x) is a continuous function, h(-1/4) = 1/2, h(7/4) = 1 and h(2)dx = 2. Evaluate th...

A: Here, given that h-π4=12, hπ4=1 & ∫-11h(x)dx=2...(1)

Q: Compute the indicated derivative using the chain rule. dy x = 1 - t/3, y = 8t – 1;- dx dy dx

A: x=1-t3 differentiating with respective t dxdt=-13 y=8t-1 differentiating with respective t dydt=8

Question

Please solve it step by step, and provide the name of each property that you use here.

Thanks.

19. Identify the critical points and the inflection points of
F(x) = (x
a)(x + a)', for a > 0.
%3D
19. Critical pts. x = -a, a/2: inflection
pts. x =
= 0, -a

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Given

VIEW

solution

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
Suppose that the total cost of manufacturing x units of a certain commodity isC (x) = 2?2 + 6? + 12. Use differentials to approximate the cost of producing the 21st unit.Compare this estimate with the cost of actually producing the 21st unit
find the value of x which gives the critical point.
The linearization of ex at x = 1 Estimate to five decimal places the magnitude of the error involved in replacing ex by 1 + x on the interval [0, 0.2]
determine by inspection at least twosolutions of the given first-order IV .15. y- 3y2/3, y(0) 016. xy- 2y, y(0) 0
A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x<150: fixed costs, $500; unit production cost, $25 per vest; equipment maintenance and repairs, 0.05x2 dollars. So, the cost of manufacturing x vests in one given day is given by C(x)=0.05x2+25x+500,where 0<x<150. a.) What is the average cost C(x) per vest if x vests are produced in one day? b.) Find the critical numbers of C(x), the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema.
A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x<200: fixed costs, $245; unit production cost, $15 per vest; equipment maintenance and repairs, 0.05x2 dollars. So, the cost of manufacturing x vests in one given day is given by C(x)=0.05x2+15x+245, where 0<x<200. (A) What is the average cost C(x) per vest if x vests are produced in one day? (B) Find the critical numbers of C(x), the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema. Do not graph
df between = df within = F Critical = SS Between = SS within = MS between = MS within = F = R^2= Fail to reject the null or reject the null hypothesis?
find the minimum and maximum value of the function on. the given interval by comparing values at the critical points and endpoints. y = −x , [0, 2] ln x, [1, 3]
In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after before