I am struggling with this question.What’s is the minimum point ,aswell as the maximum point . Find the minimum and maximum points ofon the spheref(x, y, z) = 2x - 4y + 4z +10a.and the value of f at those points.x² + y² + z² = 16Minimum point:(x, y, z) minababsin (a)Minimum value:f(x, y, z) minsin (a)Show/hideӘəxӘarff Find the minimum and maximum points ofon the spheref(x, y, z) = 2x - 4y + 4z +10x² + y² + z² = 16and the value of f at those points.

Answered: Image /qna-images/answer/8dcb4d04-3d06-4eb0-b2aa-96e2ba3a9a4f.jpg

Answered: Find the minimum and maximum points of…

Find the minimum and maximum points of on the sphere f(x, y, z) = 2x - 4y + 4z +10 x² + y² + z² = 16 and the value of f at those points.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

See similar textbooks

Related questions

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given: "The tangent line approximation at any point for any linear equation is the linear equation…

Q: A particle moves long the x-axis so that its velocity v at any time t, for 0 ≤ t ≤ 18 is given by v…

Q: 1. Test the convergence of the power series below: (1 - 2n)³ (-4)" n=1 Calculate the following: a.…

A: As per answering guidelines the solution of the first question is given here. Please repost the…

Q: Use Simpson's rule with 4 strips to approximate S₁²√1+x²dx

Q: For the given matrix A What is the rref of A. What is the rref of AT A = [1 2 1 1 -1 21 0302 5 1 4 5…

Q: 32. Determine the equation of the logarithmic regression function for the data. Round all values to…

A: Given data : x 1 2 3 4 5 6 y 12.5 13.9 14.7 15.2 15.4 15.5 To find : Equation of…

Q: 5) Find the following limits: A) lim ( C) lim √2x (x-1) E) lim ¹ G) lim A (+1) B) lim h sin(3y)cot…

A: L'HOSPITAL RULE OF DIFFERENTIATION-: if we have limx→afxgx has indeterminate forms like…

Q: Uniform shaft is fixed at one end and free in other end, if 0²0 0 0 dx² (0.0) = 0 at t > 0, a²0 31²…

Q: Heat transfer Fourier’s Law of heat transfer (or heat conduction) states that the heat flow vector F…

A: Given that, Tx, y, z=100+e-z D=x, y, z| 0≤x≤1, 0≤y≤1, 0≤z≤1. We have to find the value of heat flux…

Q: 7(a) What is meant by game? Write down the characteristics of a game, 7(b) Solve the following game…

A: we have to write definition of game and characteristics of game and find the solution of game.

Q: 8. A periodic function f(t) = i. ii. iii. is defined as follows: (3 for-1≤ t < 0 6 for 0 ≤t <1 where…

Q: 1) Find the domain: A]f(x)=√x B)g(x) == C1h(x)=; 2) Find the range: A)y=1-2x-x² 4) if f(x)=2-x, g(x)…

A: Note: As per our Guidelines we can solve first three subparts . please repost remaining parts.

Q: What are the Karush–Kuhn–Tucker conditions and what are they related to? b. Maximize function…

A: (a) Karush-Kuhn-Tucker Condition: For a convex non linear optimization problem, Karush Kuhn tucker…

Q: Format: If your answer is a point, enter it in the form (z,y,z) (using brackets and commas). Give…

A: Find the stationary point of Fx,y,z=x3·y2·z2 on the plane 4x-5y+3z=-14, and the value of F at that…

Q: Prove that the equation has a solution x E R. x + ln(sin(x) + 2) = 1

A: Theorem: Let [a, b] be a closed and bounded interval and f : [a, b] → R be continuous on [a, b].…

Q: Determine the FOURIER COSINE SERIES of f(x)=2x² in the interval 0<x< .

Q: Graph the data and observe the relationship between x and y, is it linear or nonlinear? Predict…

A: Here first we need to plot the given points on xy - plane and then we need to observe the curve of…

Q: 54 16 6 3.5 12 shown below are 2. The rectangular similar What are the values of x and y?

Q: determine terms up to and including x5 in two linearly independent power series solutions of the…

A: Given diffeential equation is: y''+sinxy'+y=0 Suppose, the power series solution is: y=∑n=0∞cnxn…

Q: CC For the iterated integral (A) sketch the region in cartesian coordinates; (B) evaluate the…

Q: Show CO PLETE solutions. 1) Show that Laguerre's ODE, Table 7.1, may be put into self-adjoint form…

Q: Write the equation of a circle osculating with the curve f(x)=arctanx at the point x0=1.

A: The curve fx=arctanx. We have to find the equation of an osculating circle at the point x0=1.

Q: Example. Use the fixed-point method with the function g(x) =√10-X³ to solve the equation x³+4x² 10 =…

A: Fixed point method: To solve f(x)=0 write it in terms of x=g(x) where |g(x)|<1 and then perform…

Q: Classify the following sets as having only a supremum, only a maximum, both a supremum and a…

A: By definition of supremum Supremum is defined as the least upper bound .

Q: 5.6 Given, F(s) = s(s² + 2s+5) calculate f(t)

A: We find f(t).

Q: Use the principle of mathematical induction to verify that: (a) 2! ∙ 4! ∙ 6! ⋯ (2?)! ≥ (? + 1)!

Q: So if u and v are perpendicular, then u. v = O parallel Operpendicular O neither . If u = (4, 9, 2)…

A: Given that the vectors u=4,9,2v=3,0,-6

Q: Meghan Pease purchased a small sailboat for $8,350. She made a down payment of $1,300 and financed…

A: a) Finance charge: = $236.38*36-($8,350-$1,300) = $8,509.68-$7,050 = $1459.68 b)

Q: i Let A = [₁ + i ₁₁ ], B = [₁²; ₁²d- A. 8 B. -8 C. 8i . Then det (AB) = D. -8i E. 4i

Q: QUESTION 4 Consider the following data: TT 7π 9π 3π Τ 0 2 8 8 8 y 1.000 -0.5000 0.8984 1.0000 0.5158…

Q: The energy used to produce and ship two kinds of fenders is given below, where x is the number of…

A: The answer provided below has been developed in a clear step by step manner.

Q: eiz f ₁ TR lim R-00⁰ Z4 -dz = 0

A: For given semi-circle C(0,R) To show limR→∞∫Reizz4dz=0

Q: Find the least squares polynomials of degree 1 and 2 for f(x) = ln(x + 2) on the interval [-1,1].…

A: We are given the function f(x)=ln(x+2). Now, we need to find the least squares polynomial of degree…

Q: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient…

A: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient…

Q: QUESTION 2 Consider the function f(x) = x sin (e*). Using a uniform step increment of Ax = 0.1,…

Q: A company manufactures a 42-inch plasma HDTV that sells to retailers for $550. The cost of making x…

A: a)We know that break even point is that point where there is no profit no loss. From graph , at (…

Q: ne Zt. Solve the congruence x = n" (mod p), where p is a prime of the form 4n ± 1,

Q: 4. Determine the interval of convergence of n=0 (x - 3)" 2n + 1

Q: Rasheed worked on a science project for 4 hours in October and 2 12 hours in November. Estimate to…

Q: In the given problem, explain why a paddle wheel with its axisaligned with the z-axis does not spin…

A: The given vector field is v=0,1-x2,0 which represents flow in the y-direction. (a) Suppose the…

Q: (a) Find the eigenvalues and eigenvectors of the matrix A = 1 0 3 0 4 2 0 1-3

Q: 9(x) = ² + (x-1)e-x)(1) dt. 0

A: Here we need to find the solution of the given integral equation using Laplace transform. To find…

Q: Heat transfer Fourier’s Law of heat transfer (or heat conduction) states that the heat flow vector F…

A: The temperature field of the heat transfer is given by Tx, y, z=100+x+2y+z. The given region D is…

Q: Stokes’ Theorem for evaluating surface integrals Evaluate the line integral in Stokes’ Theorem to…

A: Given: F=y , 1 , z and S is the part of the surface z=2x within the cone z=x2+y2. To Find…

Q: (a) y" +6y' +8y=8e-²x

Q: Angela is starting a new business, selling shirts and dresses that she sews herself. The materials…

Q: Preview Activity 9.1.1. Suppose you invest money in an account that pays 5% interest compounded…

A: AP,t=Pe0.05t Note: Solving first three subparts.

Q: Type the correct answer in each box. Use numerals instead of words. The weights of 1,000 men in a…

A: Given mean (μ) = 150 pounds Standard Deviation (σ) = 15 pounds CASE 1: Find the number of men's…

Q: The Residue of f(z) = 5-4Z z²-z at z = 1 is

Q: Does (7, 0) make the equation y = 2x + 7 true?

Question

I am struggling with this question. What’s is the minimum point ,aswell as the maximum point .

Find the minimum and maximum points of
on the sphere
f(x, y, z) = 2x - 4y + 4z +10
a.
and the value of f at those points.
x² + y² + z² = 16
Minimum point:
(x, y, z) min
ab
ab
sin (a)
Minimum value:
f(x, y, z) min
sin (a)
Show/hide
Ә
əx
Ә
ar
f
f

Find the minimum and maximum points of
on the sphere
f(x, y, z) = 2x - 4y + 4z +10
x² + y² + z² = 16
and the value of f at those points.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here