Find the eigenvalues and bases for the eigenspace of the matrix [4 -3 01 3 Lo 4 2]

Q: The cart in the figure below weighs 64 pounds and is attached to the wall by a spring with spring…

A:

Q: Aphly Runge - kutla method appriosimafely value lips of on, t dyd =x+y2, given of fo find am 0.2 in…

A: Runge kutta method

Q: Determine the present value P you must invest to have the future value A at simple interest rate r…

A:

Q: Evaluate by Exact D.E. (2xy – 3x²) dx + (x² + y)dy = ( Oc= =y+x² + % 2 Oc = x²y – x³ + y? %3D 2 Oc =…

A:

Q: 2 Find the following required partial derivations: igal ,find f.(x,1); • (1) For f(x, y) = x + ( y –…

A: Let us consider the given function y=f(x,y) The first order partial derivative is  ∂f∂x,∂f∂y The…

Q: A vibrational system consisting of a mass m 1/4 slug attached to the spring 2.5lb/ ft is modelled by…

A:

Q: Using Reunge-kutta method of fourh oxden Solve dy (0)%3D1at 2. with | 2. 2=0.2,0.4.

A:

Q: Evaluate (37603|48611), by regarding it as a Legendre symbol, after first checking by trial division…

A:

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

A:

Q: the valueof 2 (3 * 2) what is the x * 3 = 0? if yalue of

A:

Q: 4. Solve system of linear equations AX = B, using in- verse matrix A- Write clean, and clear. Show…

A: Convert the given system of equations into the matrix form. 1252394717xyz=114 Use the elementary row…

Q: Example 7. Show that the integral equation g(x) = 1 (sin x sin 2t) g(t) dt has no eigenvalues.

A: We have to show that the integral equation gx=λ∫0πsinxsin2tgtdt has no eigenvalues. We can write…

Q: The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's…

A:

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: Let us consider the differential equation Mdx+Ndy=0 Determine the partial derivative ∂M∂y,∂N∂x The…

Q: to wex'tan'! ( x+y" ×キツ

A:

Q: Q4. Without solving (proper computation), show that determinant of the following matrix is zero. -1…

A: The Given matrix is 1-13-8-522-26To show the determinant of above matrix is zero without…

Q: Select the FIRST correct reason why the given series diverges. Note: You may re-use answers. For…

A:

Q: Theorem 1.24. The set P of all polynomials p(x) = ao + a1r + azx² + .. . + amr" %3D .......... ith…

A:

Q: A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental…

A:

Q: Find the value of x, y and z using Gaussian Elimination Method: ax + y + z = 1 x + ay + z = 1 x…

A:

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A:

Q: dy + sin 2x + sin 2y + 2 sin 2x sin 2y dx solve by Separable method

A:

Q: A farmer raises cows and chickens. The farmer has a total of 42 animals. One day he counts the legs…

A:

Q: Evaluate the gamma function

A: Introduction: The Gamma function is an integral function that is defined as Γz=∫0∞xz-1e-xdx The…

Q: Suppose you are expanding (5x -2y). a) i) How many terms are there in the expansion? ii) State the…

A:

Q: 2- y = xy? O y-' +x - 1 = ce* O y +x - 1 = ce*

A: Given differential equation is dydx - y = xy2

Q: A solid concrete porch consists of 3 steps and a landing. The steps have a tread of 11 inches, a…

A:

Q: s- 5 s2 + s - 6 a. FC) = } *-* cF) = *+* 3t e 2t 8 B. f(t) =e 3t D. f(t) = - 8. e2t 5 3t

A:

Q: . In an art class, the students are asked to create a 2D artwork using only the crayons they are…

A: We have to take out 4 from 24. So we will apply combination.

Q: G9. Draw a graph with 4 vertices each of degree 2.

A:

Q: Sx²V4 – x° dx

A:

Q: How much should the price of product 2 be increased to make it profitable to produce? How much of…

A:

Q: Find the solution. 2y dx = (x2-1)(dx - dy) A (y-1)x (x-1)(cy +x - In|x+1|) %3D B (x-1)x = (y+1)(c -…

A:

Q: 2: DeJuan has just purchased his first car. His bank has given hlm of $1500 for the first year of…

A: Given: Rate of interest= 12% Quarterly payment =$1500 Time period=1 year

Q: Consider the initial value problem y(2) = 5. Using the Duler's method we have Select one On-5+18h O…

A: For 1st one. The given differential equation is…

Q: Draw diagram to show the output of each phase of compiler for following expression. a +b-c*d

A:

Q: Show that the Substitution XZe e reduces the eguation y=9G) ()6 =fっ+,パx9+パで6

A:

Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A:

Q: Proposition 81 For each integer n, n2 - 3n +9 is odd.

A: for each integer given function will be always odd

Q: Use Stoke's theorem to compute the integral SL(V × F) · n dS, where F(x, y, z) = (xz, yz, xy) and S…

A: We have to compute ∬(∇×F)·n dS , where F(x,y,z)=(xz,yz,xy) and S is the portion of the sphere…

Q: Find the Laplace Transform of the following functions s? - o? 1) f(t) =t cos(@t) Ans. F(s)= (s² +…

A:

Q: O A. 2.01% B. - 5.94% O C. 4.06% O D. 14.06%

A: Given: Rate of interest=4% compounded quaterly.

Q: Find the Laplace transform of 1. f(t) = sin(4t +) %3D

A:

Q: use elimination pmethod te salue- At +2xg=17

A: We have to find the solution of the given system.

Q: s2 + 9s + 2 (s – 1)2(s + 3) A. f(t) = et + 3tet – 2e-3t C. f(t) = 2et + 3tet – e-3t 3. f(t) = et +…

A:

Q: Q1. Solve the following first order equations: (a) (r²y² + 1)dx + 2x²dy = 0, use the substitution ry…

A:

Q: O Show that the substitution r = e' reduces the equation ax?y" + bry/ + cy = g(x) to an equation…

A:

Q: Use the Binomial Theorem to expand the expression (3x + 2y). Show your work.

A:

Q: For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2 skirts,…

A:

Q: od k. If k and k2 are induced moduli for x prove

A: