Solve the system of linear equations using matrices. 6x - y -28 - 5z 4x + 2y = 10 5x + 6z = -23 Rewrite each equation in form ax + by + cz = d X= y= x + Use your calculator to find x,y and z Z= x + X + y + y + y + Z= Z= Z= 111

Q: (1) (2) (3) Differential Equation dy sin(x + y + 2) dx x²y" xy' + e* = 0 dx dt. = = √3 - cos x DV IV…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Suppose that f(0) possibly be. Answer: f(4) < = 1 and f'(x) ≤ 6 for all values of x. Use the Mean…

A: By Mean Value Theorem,         {f(4) - f(0)}/{4 - 0} = f'(c) for some value c such that,         0…

Q: (Higher Ordered ODE) Determine the solution of th 2 e² - e- (D² - 1) y =

A:

Q: Prove that Question 22 0 D={[% &]iªbER} a,b a b2a is a subspace of M2.2

A:

Q: 2. (a) Let A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9} and C = {1,4}. Let f: C → B be the function…

A: Let A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9} and C = {1, 4}. Let f : C → B be the function given by…

Q: Find the eigenvalues of A, given that A = and its eigenvectors are The eigenvalues are -1 7 -4 16 -8…

A:

Q: Find a center of mass of a thin plate of density 8 = 3 bounded by the lines y = x and x = 0 and the…

A:

Q: Which of the following linear programming model has bounded feasible region? max z = 3x + 2y subject…

A: (a) Max z=3x+2y subjected to  x+y≤10x+2y≥2x≥0y≥0 Hence the model has bounded feasible region (b)…

Q: The linear tranformation L defined by maps P4 into P3. (a) Find the matrix representation of I with…

A: The given linear transformation, L:P4→P3 is defined by Lpx=15p'-13p''. a) We have to find the matrix…

Q: Find the auxiliary roots (D4-2D³-7D²+ 8D+12) y=0 A) -2, 1, 2, 3 B) -2,-1, 2, 3 C none of the choices…

A:

Q: h (x) = 2x² − 8x +9 - Show your work for each question to receive credit. 1. Does the parabola open…

A:

Q: what is the difference between a polynomial and a power series?

A:

Q: A = Find the matrix A of the linear transformation T(f(t)) = 8ƒ' (t) +3f(t) from P₂ to P₂ with…

A:

Q: s2

A:

Q: Step1 a) The MATLAB program is given below: Step2 b) Z= [1 2 3; 6 7 8; 0 1 5]; disp(Z); disp('---…

A: Remark:  The function "sin" takes inputs as radians not as angle.

Q: Use Stokes's theorem to evaluate fF.dR or ff(V x F) ndo, whichever appears easier: F = xyi-yzj +…

A:

Q: There are 3 balls in a hat; one with the number 2 on it, one with the number 4 on it, and one with…

A: Each random experiment contains two stages, at first stage, we draw a ball with a number from {2, 4,…

Q: Compute the flux of the vector field F = 9x²y² zk through the surface S which is the cone √√x² + y²…

A:

Q: draw the following graghs using transformations. find the domains and ranges   f(x)= log base 2 of…

A:

Q: 5. Solve the initial value problem (a) y" - 4y + 3y = 0, y(0) = 7, y'(0) = 11.

A:

Q: Consider the surface at the point P (0,3,0). a. Choose the correct equation for the tangent plane to…

A:

Q: 24. Jo Re z dz from o to 3+27i along y = x³. C

A: The given problem is to evaluate the given complex integral of Re z from 0 to 3+27i along the path…

Q: h) x" + 9x = sin 3t, x(0) = 0, x'(0) = 0.

A: According to the guideline, only one question can be answered. Please repost other question…

Q: e Lay xy¹ ds where C' is the right half of the circle x² + y² = 9 Evaluate

A: We find required integral by parametrizing x and y .

Q: Determine the solution of the following differential equations: (D²-1) y=- (Use MRO and MVP) 1 e2x+

A:

Q: Consider the curve C: y=cos x. You may assume that for all values of x = [0,1/2] the curve C lies on…

A:

Q: THEOREM 7.4.1 Derivatives of Transforms If F(s) = {f(t)} and n = 1, 2, 3, . . . , then L{t¹f(t)} =…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: We find required equation of tangent line to the given curve.

Q: The Fourier series of the function is given by where 11 co= T Сп and b₁ = 22 x(2n + 1)² (-1)". 11 11…

A:

Q: find the complete solution of the DE y''-2y' + y = e^x/x using MVP.

A:

Q: Could you please do C) as well

A: A 26 foot ladder is lowered down a vertical wall at a rate of 3 feet per minute. The base of the…

Q: Tutorial Exercise Find the volume of the solid generated by revolving the region bounded by the…

A:

Q: JO the MacLaurin polynomial of degree 7 for F(x).

A: Given,          F(x)=∫0xsin6t2dt.

Q: Describe which edges form loops in your graph. Use these to find a basis for the left nullspace of…

A: The incidence matrix given is as follows: A=-1100-1010010-100-11 We are asked to draw a graph that…

Q: Consider the following integral equation. f(t) = 3t - 9 sin(t) f(tt) dt Take the Laplace transform…

A:

Q: 2) Write the negation of: VxER, 3 € Rǝ x² + y² > 0.

A: We know that negation of "for all " is "there exists" and vice-versa. And negation of 'greater than…

Q: Consider a triangle ABC like the one below. Suppose that c= 56, a=63, and C=41°. (The figure is not…

A:

Q: A contract requires lease payments of $400 at the beginning of every month for 4 years. a. What is…

A:

Q: Consider the following initial-value problem. y' + y = t sin(t), y(0) = 0 Take the Laplace transform…

A:

Q: d (t) = 6(1.490-). Notice that this equation suggests that at t = 0, the rim was 6 inches above the…

A: According to the guideline, only one question can be answered with maximum 3 subparts. Please repost…

Q: How did you get f(x) = 2-2x, can you please let me know.

A: (a) there may be a lot of examples of function f such that      f : [0, 1) → (0, 2] is bijective.…

Q: SSS √x² + z² dv E

A: To evaluate the triple integral by using change of variables.

Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral - = 64…

A:

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A:

Q: Select the partial differential equation that can be used to model this scenario. J²u Ju A.k- dz² B.…

A: A String of length L is secured at both ends. The string is released from rest with initial…

Q: You are part of a team to go on a geological dig site and will arrive at the airport shown in the…

A: From the figure, it is given that AB=28 mi, AD=40 mi, DC=30 mi, ∠BAD=25°, ∠CAD=47° and ∠ACD=77°. The…

Q: the Maclaurin series for the function in another way: Assume that f(x):= X 1-x-x² = Scan. n=0 ply…

A:

Q: Give an example of each of the following or prove that such a request is impossible. infinite family…

A: Here we have to give an example or prove that such a request is impossible. e) infinite family of…

Q: Write the following equations in first-order form so that they could be simulated with ode45. a) mx…

A: Note: The important thing to remember is that ode45 can only solve a first order ODE. Therefore to…