Find a formula in terms of k for the entries of AK, where A is the diagonalizable matrix below, and the eigenvalues of A are 3 and -3. 9 -6 A = 12 -9 0 0 Ak 0 0

Q: find the area of the surface obtained by rotating the curve along the x-axis

A: Surface area along x-axis

Q: The solution of the non-exact differential equation (x³ev +*) dy+ (1+ 2x²e³)dx = 0 is: x^2 e^y-In(yx...

A:

Q: -f xy + a3 (1

A:

Q: nich point/s (value/s of x) is the function conti

A: In this question, the concept of continuity is applied. At x=a, When  LHL=RHL=falimh→0fa-h=limh→0fa+...

Q: a. Consider the initial value problem: y" – 4y' + 8 y = 0 y (0) = 0, y' (0) = 2 Which of the followi...

A:

Q: Let A be a 4 x 5 matrix. If the column vectors a1, a2 and a4 are linearly independent and satisfy th...

A: For solution see below.

Q: able functions f1 and f2: fi = 7 · fi – 5 · f2, f½= 10 · f1 – 1

A: In this question, the solution of the differential equation is determined using the eigenvalue of ma...

Q: DÒ NOT include spaces in between characters. * Given F(x)=f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) = ...

A: We want to find F'(2).

Q: Use a triple integral over spherical coordinates to evaluate (2² + y²) dV, where E is the sphere a² ...

A: Volume of triple integral, using cylindrical coordinates

Q: Let a E R" be fixed. Suppose that vectors x, y E R" are related by the equation a = x + (x y)y. a) S...

A:

Q: с. How should the fencing be used to get the maximum possible area? How much area will the chickens ...

A: Given that Total length of fencing wire is 100 ft to build the chicken coop. Since  marissa has to f...

Q: Find (124 *1 L3) /(9+j 7)

A: This is a problem of complex analysis.

Q: Use the Gauss-Seidel method to obtain the solution of the following system of linear equation:(4 dec...

A:

Q: t-up the definite integral(s) equal to the arc length of the curve defined by the parametric uations...

A: We have to set up the integral for arc length.

Q: A parametrization of all the points on the sphere a + y² + z? = 1 that are such that y > 0 is given ...

A: Find the parametrization of points on sphere x2+y2+z2=1, where y≥0. The equation x2+y2+z2=12 represe...

Q: CURVE TRACING Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. ...

A:

Q: At which point/s (value/s of x) is the function neither continuous nor differentiable? DO NOT includ...

A:

Q: Consider the function of two variables defined by: f(x,y) = (x3 - y4) / (x-7210)2+(y-9245)2 What p...

A:

Q: 3) Show that the irreducible polynomials in R[T] are the following: (a) Linear polynomials, i.e. pol...

A:

Q: Šelect ALL possible answers if there is more than one. * Which of the following is/are true of f(x) ...

A:

Q: Alice’s chicken coop (cage) has a total volume of 873 cubic feet (ft3). Use the fact that 1 foot is ...

A: We have to convert the given volume to cubic metre.

Q: Tutor Rita just got a babysitting job. She will work about 10 hours each week and make $9 an hour. H...

A:

Q: 4) Find power solution a series the guen dpperential OF equa tion. ay" - 4y'+y=0

A:

Q: Determine whether the Series is onvergent on exact test that you Use. divergent.Write the Tニu tuとtッh

A:

Q: , 2η En=1 3 er

A: Given series is ∑n=1∞ n2nen3

Q: BELOW ARE THE SYSTEMS OF LINEAR EQUATIONS THAT YOU NEED TO SOLVE USING DIRECT INVERSE OR PINVC (USIN...

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

Q: Using Reciprocal Substitution * For S x²(®1+x+j{ 1 4(81t* + 1)3 81(81t* + 1)5 O Option 1 Option 2 1 ...

A: The given question is related with integral. We have to find the integral ∫dxx281 + x434  by using R...

Q: 1 e integral 2

A:

Q: Consider the function h : Z x Z → Z ×Z defined by h(x, у) — (2ху, 7x — Зу). (a) Is h injective? (b) ...

A:

Q: 8-1 Find the inverse Laplace transform, y (t), of L-'[ using the first shift theorem: 282+5s+2 If L-...

A:

Q: Use the method of completing the square to change General form to vertex form В. y = x + 8x + 3

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

Q: ynomials with different degrees but the same characteristics: crosses the x-axis at x = 8 touches ...

A: In the given question, the concept of the polynomial is applied. Polynomial The term "polynomial" re...

Q: Let S be the surface 7(x, y) = (x² + 2y, 3x, xy), (x, y) E D = [0, 2] × [0, 3]. The area of S is: /|...

A:

Q: A model for the yield Y of an agricultural crop as a function of the nitrogen level N and phosphorou...

A:

Q: DO NOT include spaces in between characters. Type your answers in the following order and format: a=...

A: We have to find value of a and b.

Q: Consider the function h : Z xZ → Z× Z defined by h(x, у) 3D (2ху, 7x — Зу). (a) Is h injective? (b) ...

A:

Q: Let A = {x | 5x + 1 E Q} and B be the set of all even integers. Prove that A and B have the same car...

A:

Q: D 1 2 В L 지1 191 122 + y2) dxdydz 2 2 2

A: Given,          k2=1V∫-D2D2∫-B2B2∫-L2L2(x2+y2)dxdydz       

Q: Show complete solution Six people A, B, C, D,E, and F get into a bus that has five vacant seats on e...

A: Six people A, B, C, D,E, and F get into a bus that has five vacant seats on each side. We need to fi...

Q: Determine the Riemann sum that represents the illustration below. The function is Ax) = x2 + 1. AY 1...

A:

Q: 3. The Cartesian coordinates of a point are given. (i) Find polar coordinates (r,0) of the point, wh...

A:

Q: If f(x, y, z) = x² y + y² z + z2 x for all (x, y, z) e R3 ar i+ j+ k, then the value %3D and V dy of...

A:

Q: 10x? Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = an...

A:

Q: Reliability of Computer Chips The percentage of a certain brand of computer chips that will fail aft...

A: Solution :-

Q: Evaluate the double integral / zy° + a°ydA where R = {(x.y)| 2 sxs4, 0 <ys1} Double Integral Plot of...

A:

Q: A thermometer reading 21°C is brought into an oven that has been preheated to a constant temperature...

A:

Q: A cycle in a simple graph is a closed walk of length greater than m. What is the value of m?

A:

Q: Given f(x)=x and g(x) =-x", which of the following statement/s is/are true? A. f(x) is differentiabl...

A:

Q: Find the solution to the following system of equations: -4 1 1 X1 -200 1 -4 0 -4 1 -4 1 X2 -400 1 1 ...

A:

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million peo...

A: