![Question 4(25 marks) Find the critical points of following function, then determine whether they are relative maximum, relative minimum or saddle points i. f(x,y) 3x2-2xyy2- 8y [Smarks] [5marks] [5marks] iii. f(x,y)--2x + 4y-x2-4y2 + 9 b) Find the divergence and curl of the following vector fields i. F(x, y, z) = x2 yi + 2y3zj + 3zk [5marks] ii. F(x, y,z) x sin y i+4xyz j - cos 3z k [5marks]](http://img.homeworklib.com/questions/d1357dd0-c2ba-11ea-855d-e11990250336.png?x-oss-process=image/resize,w_560)
Homework Answers
You had asked five questions in a single question... the page
was too small to contain all five solutions.i solved three of them,
the other two are based on same methods! Thank you.
Add Answer to:
Question 4(25 marks) Find the critical points of following function, then determine whether they are relative...
19. Find the critical points, relative extrema, and saddle points of the function. a. f(x, y)...
19. Find the critical points, relative extrema, and saddle points of the function. a. f(x, y) = x2 + y2 +2x – 6y + 6 b. f(x, y) + y2 c. f(x, y) = x2 – 3xy - y2 = x²
Question 1 (25 Marks) a. Find the relative maximum and relative minimum points of the function,...
Question 1 (25 Marks) a. Find the relative maximum and relative minimum points of the function, f(x,y) -x2 ,3-12x + 12y-13 [S Marks] b. Evaluate the Laplace transform of the following functions: i. f(t)sin 5e2* [5 Marks] [5 Marks] [7 Marks] (t)-t2+ cos 3t a. Let f(t) = 8t5-5t2 + 5t + 1. Find L
2. For each function, find all critical points and use the Hessian to determine whether they...
2. For each function, find all critical points and use the Hessian to determine whether they are local maxima, minima, or saddle points. (a) f(x,y,z) = x — 2 sin x – 3yz (b) g(x, y, z) = cosh x + 4yz – 2y2 – 24 (c) u(x, y, z) = (x – z)4 – x2 + y2 + 6x2 – 22
(1)Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j (2)...
(1)Calculate the scalar curl of the vector field.
F(x, y) = sin(x)i + 6 cos(x)j
(2)
Let F(x, y, z) = (2exz, 3 sin(xy),
x7y2z6).
(a) Find the divergence of F.
(b)Find the curl of F.
-/3 points v MARSVECTORCALC6 4.4.017. My Notes Ask You Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j -/8 points v MARSVECTORCALC6 4.4.023. My Notes Ask You Let F(x, y, z) = (2x2, 3 sin(xy), x?y2z6). (a) Find...
Consider the vector field. F(x, y, z) = (3ex sin(y), 3ey sin(z), 5e7 sin(x)) (a) Find...
Consider the vector field. F(x, y, z) = (3ex sin(y), 3ey sin(z), 5e7 sin(x)) (a) Find the curl of the vector field. curl F = (-3d"cos(z))i – (36*cos(x)); – (5e+cos(y) )* * (b) Find the divergence of the vector field. div F = 3e'sin(y) + 3e'sin(z) + 5e+ sin(x)
[1] (10 points) Find the relative extrema and saddle points for the function f(x,y) = x+y?...
[1] (10 points) Find the relative extrema and saddle points for the function f(x,y) = x+y? - 6xy +8y. 121 (10 points) Use Lagrange multipliers to find the maximum value of the function f(x,y)=4-x? -y on the parabola 2y = x² +2.
Question 1. Determine whether or not
Question 1. Determine whether or not \(\mathrm{F}(x, y)=e^{x} \sin y \mathbf{i}+e^{x} \cos y_{\mathbf{j}}\) is a conservative field. If it is, find its potential function \(f\).Question 2. Find the curl and the divergence of the vector field \(\mathbf{F}=\sin y z \mathbf{i}+\sin z x \mathbf{j}+\sin x y \mathbf{k}\)Question 3. Find the flux of the vector field \(\mathbf{F}=z \mathbf{i}+y \mathbf{j}+x \mathbf{k}\) across the surface \(r(u, v)=\langle u \cos v, u \sin v, v\rangle, 0 \leq u \leq 1,0 \leq v \leq \pi\) with...
2/3 points Previous Answers HarMathAp11 14.4.004 Find the function's relative maxima, relative minima, and saddle points,...
2/3 points Previous Answers HarMathAp11 14.4.004 Find the function's relative maxima, relative minima, and saddle points, if th z=x2 + y2-2 ) dne (x, y, z) relative maximum x ) 0,0,2 (x, y, z) = relative minimum X ) dne (x, y, z) = saddle point
Please find and classify all the critical points for Q19 and Q20 5-20 Find the local...
Please find and classify all the critical points for Q19 and
Q20
5-20 Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function 5. f(x, y) xy y + y 6. f(x, y)-xy 2x 2y x-y 7. f(x, y) x-y)1 - xy) 8. f(x, y)y(e- ) 9. f(x, y)-x y* + 2xy 10. f(x,...
7. Find (a) the curl and (b) the divergence of the vector field F(x, y, z)=...
7. Find (a) the curl and (b) the divergence of the vector field F(x, y, z)= e' sin yi+e' cos yj+zk F.de where is the curve of intersection of the plane : = 5 - x and the cylinder rº + y2 = 9. 8. Use Stokes Theorem to evaluate F(x, y, - ) = xyi +2=j+3yk
19. Find the critical points, relative extrema, and saddle points of the function. a. f(x, y) = x2 + y2 +2x – 6y + 6 b. f(x, y) + y2 c. f(x, y) = x2 – 3xy - y2 = x²
Question 1 (25 Marks) a. Find the relative maximum and relative minimum points of the function, f(x,y) -x2 ,3-12x + 12y-13 [S Marks] b. Evaluate the Laplace transform of the following functions: i. f(t)sin 5e2* [5 Marks] [5 Marks] [7 Marks] (t)-t2+ cos 3t a. Let f(t) = 8t5-5t2 + 5t + 1. Find L
2. For each function, find all critical points and use the Hessian to determine whether they are local maxima, minima, or saddle points. (a) f(x,y,z) = x — 2 sin x – 3yz (b) g(x, y, z) = cosh x + 4yz – 2y2 – 24 (c) u(x, y, z) = (x – z)4 – x2 + y2 + 6x2 – 22
(1)Calculate the scalar curl of the vector field.
F(x, y) = sin(x)i + 6 cos(x)j
(2)
Let F(x, y, z) = (2exz, 3 sin(xy),
x7y2z6).
(a) Find the divergence of F.
(b)Find the curl of F.
-/3 points v MARSVECTORCALC6 4.4.017. My Notes Ask You Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j -/8 points v MARSVECTORCALC6 4.4.023. My Notes Ask You Let F(x, y, z) = (2x2, 3 sin(xy), x?y2z6). (a) Find...
Consider the vector field. F(x, y, z) = (3ex sin(y), 3ey sin(z), 5e7 sin(x)) (a) Find the curl of the vector field. curl F = (-3d"cos(z))i – (36*cos(x)); – (5e+cos(y) )* * (b) Find the divergence of the vector field. div F = 3e'sin(y) + 3e'sin(z) + 5e+ sin(x)
[1] (10 points) Find the relative extrema and saddle points for the function f(x,y) = x+y? - 6xy +8y. 121 (10 points) Use Lagrange multipliers to find the maximum value of the function f(x,y)=4-x? -y on the parabola 2y = x² +2.
2/3 points Previous Answers HarMathAp11 14.4.004 Find the function's relative maxima, relative minima, and saddle points, if th z=x2 + y2-2 ) dne (x, y, z) relative maximum x ) 0,0,2 (x, y, z) = relative minimum X ) dne (x, y, z) = saddle point
Please find and classify all the critical points for Q19 and
Q20
5-20 Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function 5. f(x, y) xy y + y 6. f(x, y)-xy 2x 2y x-y 7. f(x, y) x-y)1 - xy) 8. f(x, y)y(e- ) 9. f(x, y)-x y* + 2xy 10. f(x,...
7. Find (a) the curl and (b) the divergence of the vector field F(x, y, z)= e' sin yi+e' cos yj+zk F.de where is the curve of intersection of the plane : = 5 - x and the cylinder rº + y2 = 9. 8. Use Stokes Theorem to evaluate F(x, y, - ) = xyi +2=j+3yk
Most questions answered within 3 hours.
-
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 1 hour ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 1 hour ago -
implement a program that reads a number of rows and a symbol.
The program will draw...
asked 1 hour ago -
Assume that when adults with smartphones are randomly selected,
45% use them in meetings or classes....
asked 1 hour ago -
Determine the number of formula units of
Na2SO4 and moles of oxygen contained in 8.11
moles...
asked 1 hour ago -
Explain in steps on the following code
What would be the output when executed
using System;...
asked 1 hour ago -
Given the information in the table, which of the following
statements is CORRECT?
Stock A
Stock...
asked 1 hour ago -
Write MARIE assembly language programs that do the following:
Write a program that inputs an integer...
asked 1 hour ago -
Explain an understanding of services and protocols.
Explain the job of DNS.
Explain the three email...
asked 1 hour ago -
(As soon as possible) Balance each of the following equations
according to the half-reaction method:
H2O2(aq)...
asked 2 hours ago -
A thin rod with a mass of 3.5kg and a length L=1.5 m is oriented
horizontally....
asked 2 hours ago -
Inheritance pattern in BRCA 1
Describe the inheritance pattern of BRCA 1 Is it recessive or...
asked 2 hours ago