3. Find all Critical points of the given plane autonomous system. 3.1 2 x² = x (1-x²-3y²) y₁ = y (3 - x² - 3 y²) x'= - 2x +y +10 y' = 2x -y-15 y 3.2 y + 5

Q: 1. Show that ||x|| , ||x||||x||₂ are vector norms. 2. Show that if x and y are two vectors, then…

A:

Q: QUESTION 12 Which method is the most appropriate for evaluating the line integral counterclockwise?…

A: evalution of the line integral by using Green's theorem

Q: 5. What function is represented by the graph below? (320) (2.0) (2.0) (x0) O f(x) =tan(x) O…

A: We want to find function of given graph.

Q: Find the work done by F=xy³i+ 4x2y2j in moving a particle once counterclockwise around the curve C:…

A: We have to find the amount of work done.

Q: 2x12 (1,1) (4,1) (4,2) (3,2) (2,2) (1,2) (3,4) (2,4) (1,4) (1,5) (4,5) (4,4) Question:  Create a…

A:

Q: 6. (a) Let T: L²[0, 2π] → L²[0, 2ñ] be given by 27 Tf(x) = cos(xt) f(t) dt. ļ Show that (i) T is…

A: The solution is given below

Q: 1.) Determine whether the function Is a linear transformation. 2.) Let Tv = Av represent the linear…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: HW12_1 Solve the following initial value problem to find y(2). dy = yt² - 1.1y, dt using midpoint…

A: given IVP  dy/dx = yx2 - 1.1y , y(0) =1 and h = 0.5  Midpoint method :-   y(2) = 1.36427

Q: QUESTION 14 Let F(x,y,z)=x²zi+yj-xz²k Find the divergence of F. O a.-1 O b. 1 Oc_x²-2² Od.x²+z²…

A: F(X,Y,Z)=P(X,Y,Z)i+Q(X,Y,Z)j+R(X,Y,Z)k Then divergence of F , div(F)=∂P∂X+∂Q∂Y+∂R∂Z

Q: A demand function for a product is P = 100 – 2.2Q and its supply function is P = 2.8Q, where P is…

A: Solution

Q: Question 1: Find the Laplace transform of the given functions by using the table of Laplace…

A:

Q: 6. (a) (b) (c) (d) (e) True/false. Give a one sentence justification. A singular 2 x 2 matrix can…

A:

Q: The Work Done Against Gravity 3. The magnitude of the force of Earth's gravity on an object of mass…

A:

Q: COS T2² (z−1)(z–2) ed) is equal t

A:

Q: 2. Which expression can you substitute for x in 5x + y = 8 to solve the system belo 5x + y = 8 x +…

A:

Q: QUESTION 10 Determine the order of each element in U(10).

A: Given: A group U(10)=1, 3, 7, 9. To determine: The order of each element in U(10).

Q: 2. Use a parametrization to express the area of the given surface as a double integral and then…

A: Given ,x2+y2+z2 = 22       _________(I)and z = x2+y2     __________(II)Putting the value of z from…

Q: evaluate the integral where c circle of positive rotation e^z/1 -cos(z) dz where C is |Z |= 1

A:

Q: Solve the differential equation: * (D² - D-2)y= = COS X Your answer

A: The given differential equation, D2-D-2y=cos x....(1) is a non-homogeneous differential equation…

Q: Let T: R³ R3 be the linear transformation defined by T(x₁, x2, x3) = (x₁ + 2x₂ + x3, -X2, X1 + 4x3).…

A: Since you have posted multiple questions... according to company rules we are supposed to give…

Q: Jse table of values to graph this one g(x) = -2(x + 1)³-1

A:

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A:

Q: For f(x)=12x¹-44x² −8x³ + 2x² −6x² +72x² −24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

A: The function given is as follows: fx=12x10-44x9-8x8+2x7-6x3+72x2-24x+8 We are asked to find the…

Q: Find the flux of F= through of the total surface of the closed cone y=(x2+z2)0.5 with 0 < y < 2…

A:

Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

A:

Q: - Find T3(x, 1) for f(x) = ln x and use it to approximate 1.2. How good is this approximation? Use a…

A: Taylor polynomial approximation value of lnx and x

Q: (b) Evaluate the following integrals: z²+cosz (i) [ezsiniz) + + sin22]dz, C: |z| = counterclockwise.…

A: (i) Given integral is∮Cezsinz+z2+coszz10+sin2zz2dzC: z=π2 counterclockwise.The integral is evaluated…

Q: 9. In order to have P1 million in a fund at the end of 15 years, how much must be deposited in the…

A: Solution

Q: Use the extended Euclidean algorithm to find the greatest common divisor of 9,090 and 936 and…

A:

Q: What is the simplified logical expression of (¬q ∧ (p → q)) → ¬p?

A:

Q: f(x) = e²x cos(x)

A:

Q: QUESTION 14 Find up to isomorphism all Abelian groups of order 18.

A: To find- Find up to isomorphism all Abelian groups of order 18.

Q: A patient needs 1mg of a medication. The Australian Injectables Drug Handbook states that each gram…

A:

Q: Exercise 11. For what values of p is the function f(x) = { {JzP sin (!) x #0 x = 0 0 differentiable?

A:

Q: -2π 1.²* esin(ne) cos(- cos(nº))de = 0 0

A:

Q: Use Gauss-Jordan elimination to solve the linear system and determine whether the system has a…

A:

Q: a. Let V = (x, y, z, u, v). How many di exactly 6 edges? (Note that for graphs G₁ = (V, E₁) and G₂ =…

A: (a) We are given that the set of vertices is V=x, y, z, u, v. We are asked to find the number of…

Q: Show that Z6 is isomorphic to U(7) by giving an isomorphism φ from Z6 to U(7).

A:

Q: Determine whether the vector field F(x, y, z) = (2x³ — 2x) i + (2y³ – 2y) j + (2z³ – 2z) k - is free…

A:

Q: 4. (a) If X is an infinite dimensional space, show that the set {x = x | || x || = 1} is not…

A:

Q: The table contains data on the admission price (in dollars) for one-day tickets to 10 theme parks in…

A: First obtain the five number summary then use the formula for interquartile range (IQR), i.e.,…

Q: High school swimming state averages are as follows: Freestyle: mean time 72.39 seconds, standard…

A:

Q: Show that Z6 is isomorphic to U(7) by giving an isomorphism φ from Z6 to U(7).

A:

Q: ind the Fourier series for the given function. f(x)= ² f(x) = ²/1/20₁ 9 29. 9 Σ -sin πm=12m-1…

A:

Q: φι dz (z-zo)" [2πί το n = 1 n>1

A:

Q: X w(t) Let G(x) = √² (4) dt. a - 1. Find a function, w, and a number, a, such that G(x) = 4x-² w(x)…

A:

Q: Find the distance between u = 0 - 4 and z = 3 - 3 - 1 8

A: The distance between two vectors u=a1a2a3 and v=b1b2b3 is: d=b1-a22+b2-a22+b3-a32 The distance…

Q: Theorem 4.1. if r, s ER and r <s. Then there is q € Q with r <q <s (i.c. Q is dense in R)

A:

Q: 2 2xy) dy, v es (0, 0), (2, 0), (

A:

Q: Draw the subgroup lattice for Z28-

A: Draw the subgroup lattice for Z28