Assignment 10: Problem 1Suppose f(x,y)=(x−y)(9−xy). Answer the following correctly. If there is no local maxima/minima/saddle point, insert None. 1. Find the local maxima of f. List your answers as points in the form (a, b, c).Answer (separate by commas):2. Find the local minima of f. List your answers as points in the form (a, b, c).Answer (separate by commas):3. Find the saddle points of f. List your answers as points in the form (a, b, c).Answer (separate by commas):

Answered: Image /qna-images/answer/16db1587-3266-47d8-918b-3310d3c03aaf.jpg

Suppose f(x,y)=(x−y)(9−xy). Answer the following correctly. If there is no local maxima/minima/saddle point, insert None.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 34E

See similar textbooks

Related questions

Q: Suppose that ƒ is a function given as f(x) = −x² + 5x − 3. Simplify the expression f(x + h). f(x+h)…

A: given function

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: I am needing assistance with the probelm in the attached image please, 2.3.

A: limx→−33x2+4x+4=19Explanation:Step 1:To find the limit of the function f(x)=3x2+4x+4 as x…

Q: Use Green's Theorem to evaluate the line integral of F = (x5,2x) around the boundary of the…

Q: Find the points of intersection of the graphs of the equations. Ө r= and r= 1.8 1.8 Select one: O a.…

A: The correct option is (d). (1 . 8 , 3.24).Explanation:Step 1:To find the point of intersection…

Q: The graph of the derivative f' of a function f is shown. y=f'(x) (a) On what intervals is f…

Q: Exercise: Solve the equation d³y dx3 +3d²y dx² dx +30 + y = 0

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

A: The objective of this question is to find the distance between airports A and C. This can be solved…

Q: Need help understanding what to do please help ??

A: W = 5675812.3571 lb ftsExplanation:

Q: Consider a triangle ABC like the one below. Suppose that A=101°, b=22, and c=33. (The figure is not…

Q: Drug Sensitivity One hour after a dose of a milligrams of a drug Predamestane is administered to a…

Q: Theorem: Quotient Rule If f(x) = T(x) B(x) is the quotient of differentiable functions, then. f'(x)…

Q: Oil is leaking from a tank. For 0 < t < 24, the number of gallons G in the tank at time t is given…

A: given function

Q: the the point (-1,2,256) of the normal line to the Surface 2 = 2xy + a -t + 256.

A: X=-1024t -1 Y= 896t+2Z= -t+256Explanation:Step 1:-- Step 2: Step 3: Step 4:

Q: K You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have…

Q: 8 X does (1+x2)2 dx converge or diverge? if it converges, find the value it Converges to show all…

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: #1: By Taylor's theorem, we can find a Taylor polynomial P3(1) of degree 3 for the function g(t) =…

A: hello i have attached written solution below please rate helpfullExplanation:hope it helps

Q: Evaluate the definite integral. 5 L³× √5x² - 4 dx X

A: Answer is 3266Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the length of the indicated portion of the curve. r(t) (3e cost) + (3e sint)j+3e'k. - In4sts0…

A: Given:To find:The arc length is calculated as-

Q: (4/x3 + 1) dx

Q: Sales Analysis The total sales S (in thousands) of a video game are given by S(t) = at² t2 +b' where…

A: 61.85Explanation:Using the given, we can use the Linear Approximation formula given…

Q: Imagine you're at a movie theater where the screen is 36 feet tall, mounted on the wall so its…

A: The given figure Let AB=x ft

Q: Let f(t) be the temperature at time t where you live and suppose that at time t = 2 you feel…

A: Given that,f(t) be the temperature at time t where you live and at t=2 you feel uncomfortable.

Q: . Let f(x, y) = x² (y-1) x²+(y-1)² Determine the existence of limit lim f(x, y) (x,y)-(0,1) ху y =…

A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the following limits

A: The final answer is:The limit does not exist.Explanation:

Q: Instructions: Sketch the graphs of the following functions. Write neat solutions. Make sure each…

A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: We need to find out the integration.

Q: 1. f(x) = (4 — x²)5

A: Second derivative test for local maxima and minima :

Q: Find the volume of the solid whose base is the equation x² + y² = 25 (a circle with radius = 5),…

A: The objective of this problem is to find the volume of a solid with a circular base and isosceles…

Q: Suppose z = x² sin y, x = s² + 3t², y = 6st. Əz Əz A. Use the chain rule to find oz and 0 as…

A: Suppose .(A) By using chain rule to find as functions of .(B) To find the numerical values of when…

Q: Given that y = x² log2(8 - 7x), find dy dx = dy dx

Q: Complete the parametric equations of the line through the point (-6,1,-3) and perpendicular to the…

A: Point: (-6,1,-3)Plane: 6x-2y+2z=5

Q: horizontal asymtotes of 1 (x−3)2

A: The objective of this question is to find the horizontal asymptotes of the function 1/(x-3)^2. A…

Q: A) an = 2n+1 B) an = 5n+8n 7n

Q: An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find the…

A: $716.43 per year $900.55 per yearExplanation:To find the instantaneous rate of change in the amount…

Q: X * 0 1 2 3 4 n Process Write a function representing the values in the table. 9.72 8.748 7.8732

Q: Find two unit vectors orthogonal to both u: (no decimals). unit vectors = = (3, -2, -1) and v = (0,…

Q: Which of the following statements are TRUE? Select all that apply. If F(x) is an antiderivative of f…

A: To determine the true statements.

Q: Homework

A: The maximum volume is 3000 cu.cm.Explanation:Consider a rectangular prism:Recall the formula for the…

Q: Determine the price p (in dollars) that maximizes total revenue. p = $

Q: 4. Use Equation 5 to find dy/dx. (a) y cos(x) = x² + y² (b) arctan(ry)=x+xy (c) e sin(x) = x+xy

Q: Verify the Divergence Theorem for the vector field and region: F = (7x, 3z, 9y) and the region x² +…

Q: x+2 3 F) 2x-2

A: given equation

Q: Find the area of the region lying between the loops of =2+4sine. Select one: ○ a. 4(√3+2π) O b.…

A: The area is:A=4(33+π) The answer is d.Explanation:The given polar function is:r=2+4sinθFirst, let…

Q: The base of a solid is the region in the xy-plane bounded by the curves y = 1- x² and y = 0. Every…

A: Given that the region is bounded by the curve

Q: What is the primary purpose of conducting post hoc tests following an ANOVA? a. To determine the…

A: The question is asking about the main reason for conducting post hoc tests after performing an…

Q: Practice

A: The objective of this question is to identify the midline, amplitude, phase shift, and period of the…

Q: Check all of correct statements about differentiable functions. The derivative of the sum of two…

A: We have to identify the correct statement.

Q: Determine the absolute error (as a decimal) and the relative error (as a percentage) in…

A: The given integral is The Trapezoidal rule

Question

Assignment 10: Problem 1

Suppose f(x,y)=(x−y)(9−xy). Answer the following correctly. If there is no local maxima/minima/saddle point, insert None.

1. Find the local maxima of f. List your answers as points in the form (a, b, c).
Answer (separate by commas):
2. Find the local minima of f. List your answers as points in the form (a, b, c).
Answer (separate by commas):
3. Find the saddle points of f. List your answers as points in the form (a, b, c).
Answer (separate by commas):

Formula Formula A function f ( x ) is also said to have attained a local minimum at x = a , if there exists a neighborhood ( a − δ , a + δ ) of a such that, f ( x ) > f ( a ) , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a f ( x ) − f ( a ) > 0 , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a In such a case f ( a ) is called the local minimum value of f ( x ) at x = a .

Expert Solution