Evaluate sin sin(x) dx + z cos(y) dy + sin(y) dz where C is the elipse 25x² + 16y2 = 49, oriented clockwise. (Use symbolic notation and fractions where needed.) C sin(x) dx + z cos(y) dy + sin(y) dz =

Q: Question 5 Given that A TO 1 = 00 2 1 1 -21 3 show that A³ + 2A²-A-21 = 0

A: For given matrix A we have to proof the given equation.

Q: #6 Assuming for cy we know the modern formulas the key properties of cones and ·linders translate…

A:

Q: (B) By using the Divergence theorem, prove the following equality fffV8-8 Vf) • nds=ffff³8-82) dy…

A: The normal surface integral of a vector function  over the boundary of a closed region is equal to…

Q: 1. Consider the following vectors. ū= 10 W: 6 Z = 4 (a) Find the projection matrix for projecting…

A:

Q: In a company, there are 50 employees who can be assigned to work on three different projects - A, B,…

A: We have to calculate the probability that if a randomly chosen employee is selected, they are…

Q: Problem 3. Find the general solution of an 1D heat equation: T₁(x, t) = 4Txx (x, t) with the…

A: Solution

Q: One of the two tables below shows data that are better approximated with a linear function, and the…

A:

Q: 2,6) This is incorrect

A: (.)    Differential equation is,                 (.) Power series solution of a second order linear…

Q: One student is selected at random from a group of 200 known to consist of 140 full-time (80 female…

A:

Q: Find the first three nonzero terms, or as many as exist, in the series expansion about x = 0 for a…

A: We assume that the general solution to the given linear third-order differential equation may be…

Q: #2 E r 1 B 22 N อ r Fig! A с a) Let ABC be a semicircle centered at 0 with radius r. Find area of…

A: Since you posted multiple sub part questions, we will provide the solution only to the first 3 sub…

Q: Identify the function as a power function, a polynomial function, or neither. ƒ (x) = 2 x (x + 2) (x…

A:

Q: II Basic properties of an inner product . Let V be an inner product space. Prove that the…

A: We have to prove that a norm is induced by an inner product if and only if, for all the norm…

Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

A:

Q: exponents of singularity is incorrect

A:

Q: f(x,y)=x²- y subject to x² + y² = 25.

A:

Q: 15 The matrix A = 6 - 18 eigenvectors are v₁ = ( − 3, 1) and №₂ = ( – 5, 6). Use these values to…

A: Here for a given matrix having eigen values and eigen vector we have to diagonalize the matrix AA.

Q: The augmented matrix 9 -3 1 9 3 1 0 1 -1 1 4 can help us find the equation of the parabola (shown…

A: The given augmented matrix .Using the augmented matrix to find the equation of the given parabola…

Q: Let M be a subset of a metric space M. A connected component of A is a maximal connected subset of…

A:

Q: Find the critical points of ƒ (x, y) = 7y4 + x² + xy − 4y² − y³. Use the contour map to determine…

A:

Q: 6: F7 → F2 where (x1, x2,...,x7) = (X1 + X2, X3 + x7). Prove is not a linear functional on F7

A:

Q: Find gcd (3084, 1424)

A:

Q: A computer assembling company receives 24% of parts from supplier X, 36% of parts from supplier Y,…

A:

Q: Use the equation giving the flux of the vector field across the curve to calculate the flux of x + 1…

A:

Q: help, I got this answer wrong

A: Conservative Vector field: A conservative vector field F is a vector field  whose line integral…

Q: I Practice with computing diagonalizations 1. For each of the following matrices A € M3×3 (R), test…

A: This is a multiple questions so we solve only the first question. For another part repost it.

Q: Find the inclination of the tangent to the curve y = 7x³ + 7x² + 18 at x = 17 in radians.

A: We need to know the slope of the tangent at x = 17 in order to calculate the inclination of the…

Q: Solve as simply as possible: J²u Ət² with u(a, , t) = 0, u(r, 0, 0) = 0, and 9 (r, 0, 0) = a(r) sin…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y' +2y = e-2t, y(0) = 3 y(t)=

A:

Q: #3 с с E b Fig. 2 A D a) Prove first that the area of the trapezoid is half the product of the…

A:

Q: Find the first four nonzero terms of the Fourier cosine series of f. f(t)= Find the first four…

A: A function f(t) defined on an interval 0 < t < L is given.Find the Fourier cosine and sine…

Q: Determine which of the following matrices are in row-reduced echelon form. (There may be none, one,…

A: We are given some matrices. We are asked to determine whether these matrices are in RREF or not. The…

Q: Determine the determinant (using cofactors) of the matrix below: 1 -8 -6 -3 -1 -9 -3 0 -1

A:

Q: Find the exact value. Do not use a calculator. tan 0 1 O-1 0 0 O undefined

A: To find the exact value of tangent (tan) of π (pi), we need to recall some key properties of…

Q: From the following facts, complete a depreciation schedule by using the straight-line method: Note:…

A: Depreciation expense for the year under the straight line method:Annual depreciation expense=Annual…

Q: Personnel selection. Suppose that 6 female and 6 male applicants have been successfully screened for…

A:

Q: a) Let f(x) = the integral. (3 x>0 . Is f Riemann Stieltjes integrable with respect to a? If so,…

A: As per the question, we are asked to evaluate whether two given functions, f(x) and g(x) are…

Q: Result For every integer n ≥ 7, there exist positive integers a and b such that n = 2a +3b. 2q or n…

A:

Q: 1- Consider the following system. Determine the Smith Macmillan form of this system. G(s)= 1 2 -S -S…

A:

Q: 2. Don't generate a vector field- answer based on thinking about x and y values (pos, neg, zero....)…

A: a) When the denominator, or sqrt(x^2 + y^2 + z^2), is 0, the vector field F = <x, y,…

Q: 0 2 3 4 6 8 1011 12 14 16 18 20 22 16 data points find the fraction between 6 and 11

A: To find the fraction between 6 and 11, you will need to convert these numbers into a common…

Q: Q2] (A) Find the surface area of the portion of the half ball with radius a which cuts off by the…

A:

Q: Let u = (−3, 2), v = (3, −2) and A = - [ i]. 1 4 NOTE: Give exact answers. | (a) Find ||u|| relative…

A:

Q: function f(t) defined on an interval 0<t<L is given. f(t)=6-5t, 0<t<1. Find the first four non-zero…

A: A function f(t) defined on an interval 0&lt;t&lt;L is given. f(t)=6-5t, 0&lt;t&lt;1.Find the first…

Q: In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' +…

A:

Q: eta is hyperbolic if and only if for each x 0 either |etAx |- or | etªx | as as t → ∞ t ∞0.

A: The assertion you made is true in the case of linear time-invariant systems. Let's examine the…

Q: 1. Generate a vector field and insert a screen shot: a) F=

A: Vector field: .We have to insert a sketch of vector field.

Q: Find an orthogonal basis for the column space of the following matrix 0 1 1 1 2 -M = 1 0 0 21

A:

Q: Let u (-2, 1), v= (3, 3) and A = = NOTE: Give exact answers. (a) Find ||u|| relative to the inner…

A: Let and .To Find: a) ||u|| relative to the inner product generated by matrix A.b) d(u,v) relative to…

Q: a) The rectangles in the graph below illustrate a ? f(x) = 4 sinxr on the interval [0, π]. The value…

A: