Please help me w this thanks! Let f(x)=x³-27x. What are the critical number(s)?a) x 0, x=-3√3, and x = 3√3b) x--3 and x-3c) x=-33 and x-3√√3d) x 0, x=-3, and x = 3

Answered: b) x--3 and x-3

Math

Calculus

b) x--3 and x-3

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.1: Postulates For The Integers (optional)

Problem 27E: Let x and y be in Z, not both zero, then x2+y2Z+.

See similar textbooks

Related questions

Q: Please don't provide handwritten solution ...

A: Ans: V=π∑i=07(4e−(0.125/2+i×0.125)2)2×0.125, calculate the sum to get the approximate…

Q: Vector-valued functions (VVF) VVF Point P t value (for point r(t) = ½t²i + √4 − t j + √t + 1k (0, 2,…

A: 4) The equation of the tangent line at point P is: y=2x−2.5) matlab % Define…

Q: etch the region enclosed by the given curves. y=16-x², y=x²-2 CHOICE A -6 CHOICE D -6 -2 y -10- 15…

A: First we find the point of intersection of the given curves.Then draw the graphs of the curves and…

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the truth value of the given statement: If n² + 131 is…

Q: Find the directional derivative, Dчf, of the function at the given point in the direction of vector…

A: Therefore, the required answer is Duf(2,3)=0Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 4) Find the derivative from FIRST PRINCIPLES of √(x) = 2√x (You will need to rationalize the…

Q: Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives…

Q: Let f be a continuous function for all real numbers. Let g be the function defined by g(x) = √‚ªƒ…

A: None of the given options directly correspond to the average rate of change of g(x) over the…

Q: = 4. Find the linear approximation of the function f(x, y, z) = x² + y²+z2 at (3, 2, 6) and use it…

Q: Solve dy = ex-y+x²ey dx

A: In this question, we need to solve this problem.

Q: Find the values of x, y and z that correspond to the critical point of the function: +5g f(x, y) =…

A: .

Q: (3 points) By setting one variable constant, find a plane that intersects the graph of z=3y29x2 +5…

A: (a)z=3y2+5(b)z=−9x2+5(c)z=5Explanation:Given the equation,z=3y2−9x2+5 This surface is a hyperbolic…

Q: Using: Higher order linear equation with constant coefficent / Homogenous Please Solve this equation…

A: The given equation is a third order linear differential equation with constant coefficients. The…

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: Note:-Since you asked multilple subparts questions, according to our policy we can solve only first…

Q: Consider the function f(x) = 2x³ − 12x² − 72x + 9 on the interval [−5, 7]. Find the average or mean…

Q: Snacks Movies 10% 18% Video Games Candles 36% Manga 20% 3 Mia received $150 for her birthday. How…

Q: - The Parametric equation of the line that passes through the point A(1, 1, 1) and parallel to the…

Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

Q: Need to use the horizontal line test to determine whether the function is a one -to -one and sketch…

A: Need to use the horizontal line test to determine whether the function is a one-to-one and sketch…

Q: No hand written responses.

A: the concepts covered in the economics word problem and Python code:Demand Curve in economics shows…

Q: In (x + √√x². Find the first partial derivatives of the function f(x, y) = ln(x+ 1. fx(-3,4)= 2. fx…

Q: Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the…

A: (a) degree of the function=5(B) 4 distinct Zeroes = 0,25,−i,i In which two are real zeroes…

Q: Evaluate the following integrals using partial fraction decomposition, when applicable.

A: 16.51ln∣x−4∣−51ln∣x+1∣+Cor,51ln∣∣∣x+1x−4∣∣∣+C17.2ln∣x+2∣−23ln∣2x+1∣+CExplanation:Step 1:Step…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: A.…

Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

Q: Q2\ (A) Find the tangent and normal to the curve x²-xy+ y² = 7 at the point (-1,2).

Q: Notice this is the graph of the derivative of g not the graph of g itself. Answer the following…

Q: The function f(x) = 1/x^2+1 is concave down on which interval? Please use step by step detailed…

A: The objective of this question is to find the interval on which the function f(x) = 1/(x^2+1) is…

Q: 5x2 lim (x,y)(0,0) 5x²+4y²

A: To find the following limit.

Q: Suppose z x2 sin y, x = 3s² + 312, y = 2st. =

Q: Is f(x)=2/x-7 one to one

A: The objective of this question is to determine whether the function f(x) = 2 / (x - 7) is…

Q: Find equations of the following. x² - 2y²+ x² + y = 5, (5,3,-2) (a) the tangent plane (b) the normal…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:

Q: Express log3A, where A = numbers. 14 4 in terms of the logarithms of prime 7 √20 √/148 attempt left…

A: Refer the image posted in explanation for the answer .If you have any further questions or if…

Q: what about the local minimum?

A: To find the point(s) of local minimum in the following graph.

Q: Evaluate the following surface integrals [ F. ds. (a) F(x, y, z) = (x, y, z) and S is the part of…

A: The solution is given below please refer to the solution and if you have any doubt with regards to…

Q: On what interval(s) is the function f(x) = x - 4x³ both decreasing and concave up? (Enter your…

Q: Question Set up an integral that represents the surface area of the surface generated by revolving…

A: Given that the graph of around the - axis over the interval here needs to set up an integral that…

Q: se z = x² sin y, x = 1s² + 1t², y = -6st. the chain rule to find oz and as function: as Əz d the…

Q: Find the directional derivative of the function f(x, y, z) = √xyz at the point (3,2, 6) in the…

Q: Use implicit differentiation to find y' for 5x³y² + In (xy²) = 5 and then compute y' at (1, −1).…

A: Answer ::The final answer is 1211Explanation:sol) Hence,The final answer is1211

Q: Website Profit The latest demand equation for your gaming website, www.mudbeast.net, is given by…

A: the log-on fee should be $1.15.Thus, the largest possible monthly profit is $321.25.Explanation:Step…

Q: Suppose that you are estimating √8 using the fourth Taylor polynomial for √x at x=7. Use Taylor's…

A: The objective of this question is to estimate the square root of 8 using the fourth Taylor…

Q: Find the slope of the tangent line to the curve 2x² + xy + 4y³ = 272 at the point (2, 4).

A: Given an implicit function,2x2+xy+4y3=272To find: The slope of the tangent line to the curve at the…

Q: 7) Find the derivative of x(x) = (2x+3)³ (2x+3)+2x+4 X + √ 7

A: Given that, we have to find the derivative of y(x).

Q: Use the linear approximation to estimate (3.03)³ (1.03)³ ≈

Q: b Question 4) If f(x) is a continuous function on [a, b], then √ f(x)dx = f(b) – ƒ (a) f(x)dx = } a…

A: To provide counter example for given false statements

Q: Using Linear Approximation, estimate & for a change in x from x-ax=& f(x)=x, a=32, b=32.4 Comider…

A: The given function is

Q: Question 4 Let f be a function with domain all the reals such that f'(x) = x(x²-1)(x² - 7x+12)…

A: Let a function then the slope of function is given as follows where m is the slope of the tangent…

Q: 100 n=1 2

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

A: x = -1, 0, 1y = -1Explanation:Step 1: Write the numerator and denominator of the rational function…

Question

Please help me w this thanks!

Let f(x)=x³-27x. What are the critical number(s)?
a) x 0, x=-3√3, and x = 3√3
b) x--3 and x-3
c) x=-33 and x-3√√3
d) x 0, x=-3, and x = 3

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

Step 1: We will analysis the given questions

VIEW

Step 2: Detailed solution

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let x and y be in Z, not both zero, then x2+y2Z+.
31. Prove statement of Theorem : for all integers and .
Let f(x),g(x),h(x)F[x] where f(x) and g(x) are relatively prime. If h(x)f(x), prove that h(x) and g(x) are relatively prime.
Find all monic irreducible polynomials of degree 2 over Z3.
aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _
30. Prove statement of Theorem : for all integers .
Prove the half of Theorem 3.3 (e) that was not proved in the text.
Prove the conjecture made in the previous exercise.
Let be as described in the proof of Theorem. Give a specific example of a positive element of .