Diagonalize the matrix, if possible. Enter "DNE" (without quotes) in each of the answerboxes if the matrix is not diagonalizable. A = DNE Why am I not getting partial credit? Bug Bounty X DNE A = 2 -3 3 DNE 0 0 0 −1 - 3

Q: Use Stokes' Theorem to evaluate F. dr for F(x, y, z)= where C is the triangle in R³, positively…

A: Given  vector function is  F→ x,y,z = xy, yz, zx                                     curl F→ =…

Q: Let A = 3 0 0 1 3 00 3 3 -6 a Define T: R³ R³ by T(x)=Ax. Find T(u) and T(v).

A: this question follows from matrix multiplication

Q: Solve for the velocity (v) and position (x) of the free-falling bungee jumper using the fourth-order…

A:

Q: Q.2// Solve the following differential equation: 1 dt- y(t² + 1) dy = = 0

A:

Q: 6. Assume (x, y, z) = f(x)g(y)h(z), separate the partial differential equation อยฟ 2² อริ Sin(x)…

A:

Q: Evaluate the line integral xy2 ds, where C is part of the circle x² + y² = 9 in the first quadrant.

A: Given integral is ∫c x y2ds C is the circle x2+y2=9

Q: 2. Solve dy dx -5x + sin 3x + 2x; y(0) = 2

A:

Q: Consider the 2π-periodic even function defined for - f(t) = 9. ao = (for n ≥ 1) an = = (for n ≥ 1)…

A: The given periodic function is ft=9costcost+59 if t≠±π2 and fπ2=-3,  f-π2=-3 . The function is…

Q: Let C(n) be the constant term in the expansion of (x + 3)". Prove by induction that C(n) = 3 for all…

A:

Q: Question 9. Find the area of the region bounded by the curves y² 2px, y² = 2qx, x² = 2ry, 1² = 2sy…

A: We can start by graphing the curves and determining the intersection points.

Q: (b) Determine the general solution of the recurrence equation fn=6fn-1-8fn-2 +2.3n You need to give:…

A:

Q: 6 So. xdx 3√√x-3

A:

Q: c) Compute fF.dr directly for the following. i) F(x, y) = (-y, x + 4), r(t) = (cost, sint), 0≤ t…

A:

Q: Give the limits of integration for evaluating the integral (r.0.2) dz r dr do as an iterated…

A:

Q: Evaluate xds, where the curve C is the line segment going from the point (0,1,2) to the point…

A:

Q: Solve the boundary-value problem a²u 0х2 + sin(x) u(0, t) = 500, = ди at 0 0 t> 0

A: The given partial differential equation ∂2u∂x2+sin(x)=∂u∂x, with the Boundary condition u(0,t)=500,…

Q: estimate the mean for the following frequency table

A: The mean of the class-interval frequency table is

Q: Solve the following linear system of differential equations dx dt subject to X(0) = ( 35 ). = 6x +…

A:

Q: ∞ n=1 чи пn

A: The  given  series  is  ∑n=1∞1nn xnnNow, set  n=1⇒nn=1 and  n=∞⇒nn=∞  and  simillarly, for  other  n…

Q: Let V be a vector space, and let 0₁, 02, 03, 04 € V. Then Span {01, 02, 03, 04} = Span {0₁-02, V2…

A:

Q: 10. DETAILS The water level (in feet) in a harbor during a certain 24-hr period is approximated by…

A:

Q: why does it result in the same amount?

A: We see that the initial price of the dress was $80. Then it was mark upto 100%. So, hike in price =…

Q: Find the relative and absolute maximum and minimum of the given function on the specified region and…

A: The given function is fx,y=x2+y. To determine its points of the relative and absolute maximum and…

Q: Find every possible ring homomorphism from Z15 to Z25 . For each one, compute the kernel and image.

A: To find all the possible ring homomorphisms from Z15 to Z25, we need to consider where the generator…

Q: 16. In an experiment, a two-sided coin is tossed three times. After each toss, the result (heads or…

A:

Q: 3. Consider the ultimatum bargaining game as introduced in the class with the following…

A: The share of player i is xi and that of player j is xj.The payoff of player i is xi-βxj where…

Q: True False An upper bound m of a set S is the maximum of Sif mES. True False A real number m is an…

A:

Q: Consider the following vector-valued function: B: (π,0) × (0, 1) → R³, (a) Sketch the values of ß…

A:

Q: (9) Use three conditions of continuity to show that f(x) = (4,00) is continuous in the domain

A: Function : fx=3x-4Domain : 4, ∞

Q: Express the Cartesian coordinates (3,-3) in polar coordinates in at least two different ways. Write…

A:

Q: Q4:A. Find the inverse Laplace transform of F(s) 5+5 s(s²+35+2)

A:

Q: How many functions f: {1,2,3,4} → a. ƒ(1) = 1 or ƒ(2) = 2 (or both)? → {1, 2, 3, 4} are there…

A: Since your question carry more than three subparts , so as per Bartleby guidelines we are answering…

Q: Al and Beth are walking on perpendicular roads towards the same restaurant. At 5:59 P.M., the…

A: Al and Beth are walking on perpendicular roads toward the same restaurant. Al  is 63 meters far from…

Q: Consider the optimal control problem of minimizing the objective function [*[3x (1) + 1/2u² (1)]dt…

A: Ju=∫053xt+u2t2dtdxdt=2utx0=0x5=5

Q: Find the solution to the recurrence relation an = an−1+30an_2 with initial terms ao = 2 and a₁ = 1.…

A:

Q: ii) Compute the work done by F(x, y) = (3x²y + 1,7³ − 2) along the curve parameterized by r(t) = (2…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Consider the recurrence relation an = 3an-1 + 10an-2 with first two terms ao = 5 and = 6. a₁ = a.…

A: This question related to discrete mathematics.

Q: In triangle OPQ below, R divides OP into ratio 2:1; S divides OQ into ratio 3:1. If OP = p and OQ =…

A:

Q: (d) When you calculated the principal curvatures K₁, K₂ at p= (1, 1,0), you could have known in…

A: We know that for a surface in three-dimensional space, the shape operator of the surface M at a…

Q: Prove that the Legendre polynomials satisfy the orthogonality condition, given by ♫_₁ P₁(x)P, (x) dx…

A: From Legendre polynomial we have,…

Q: a) Determine the following Legendre polynomials: P(w) P₂(w) P₂ (w) b) Determine the following…

A: (a) Legendre polynomials, are a system of complete and orthogonal polynomials with a vast number of…

Q: o Find the length of one arc of a cycloid generated by a circle of radius R = 9. Hint: Use the…

A:

Q: 6. (a) Given (x, y) write down expressions for expressions as far as possible. - 1 x³ - y² дф дф Əx'…

A:

Q: Let P₁ be the set of polynomials of degree 1 or less. Consider the transformation t: P₁ → P₁ defined…

A: Let P1 be  the  set  of  polynomial of degree 1 or less.Consider  the  linear transformation t:P1→P1…

Q: 123456 A box contains eight cards labeled P,Q,R,S,T,U,V, One card will be randomly chosen. What is…

A: Given: We have a box that contains 8 cards labeled P, Q, R, S, T, U, V, and W. Condition: we have to…

Q: Find the area of the triangle PQR, with vertices P(-2,-3, 4), Q(-1, -2, 2), and R(3, 1, -3).

A:

Q: HOE a. How many vectors are in {V₁, V₂, V3}? b. How many vectors are in Col A? c. Is p in Col A? Why…

A: The column space of a matrix A l is spanned by columns of A corresponding to pivot element .  If a…

Q: Calculate the integral J(u) = integral from 0 to 2[x(t) + u(t)]dt if dx(t)/dt = −5x(t) + (1/2)u(t),…

A: Ju=∫02xt+utdtdxtdt=-5xt+ut2ut=8te-5tx0=0

Q: Let f(x) = (x-4)²-3 if x 4 -2 5 IF Sketch the graph of y = f(x). 6+ Clear All Draw: 65 5- 4 3 2 -6…

A:

Q: How many 9-bit strings of weight 5 start with 101 or end with 10 or both?

A: We have to find the how many 9-bit strings of weight 5 start with 101 or end with 10 or both.