Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,*,*).) (5,-5√/3, 10√/3) - (20,-1.047, 7)

Q: 19 Prove or give counterexample: If V₁, V₂, U are subspaces of V such that V₁ + U = V₂ + U, then V₁…

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Q: Determine all non-negative integral solutions of the equation 7x+19y=543.

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Q: Evaluate S-i,1+2i] Im z dz.

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Q: 2. A function f(t) defined on an interval 0<t<L is given. Find the Fourier cosine and sine series of…

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Q: 5x' ty : 3x +yzo 4x+y'- 3x 안 50-3 40-3 에이엠은 X [50²-30-40² +30-40+3] x 1 02-40 +3) x = 1+t "-4x + 3x…

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Q: x=12²2 ²1x X find the eigenvalues and eigenvectors -Classify the critical point (0.0) as to type

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Q: Consider the function f(x) = cos(2x). 1. Find the Taylor series for f(x) at x = n.

A: Due to Bartleby answering guidelines I have solved only first question which is question no 1.

Q: 5² +95 +2 (s − 1)² (s + 3)

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Q: you still did not answer the question the explanation was clear but why did you say r(A) = 1 where…

A: In case 1, row reduced form is [1     2 |    a                                                 0…

Q: 3. The values of a period 2x function f(t) in one full period are given. Sketch several periods of…

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Q: ii. an 5n²+4 n²+2

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Q: 10. F= (y2 +2²)i + (x² + z²)j + (x² + y²)k C: The boundary of the triangle cut from the plane x + y…

A: The given problem is to find the circulation of field by using the surface integral over the given…

Q: 41 Compute the determinants in Exercises 7-15 using cofactor expansion along any row or column that…

A: Here we have to evaluate the determinant of the matrix using cofactor method where the matrix is…

Q: In Exercises 1-6, show that v is an eigenvector of A and find the corresponding eigenvalue. 6. A = 1…

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Q: Set up the iterated integral for evaluating SSS D 1(r.0,z)dz r dr de over the region D, where D is…

A: The solid right cylinder whose base is a region in the xy plane that lies inside the cardioid…

Q: Show that the Maclaurin series of e² cos z can be written as 2n/2 n! n=0 COS (17) ²

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Q: 9. Let F be a field of characteristic 2 with at least 2 elements. Then for some x,y in F (x+y)³ ‡ x³…

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Q: 313.5 is incorrect

A: Drawing the region R in xy-plane and u-line ,v-line

Q: Find the circulation and the flux of the field F=-yi-xj around and across the following curves. a.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Matrix A has the dimensions 5 x 4 and Matrix B has the dimensions 5 x 1 What are the dimensions of…

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Q: Let ƒ(z) = |z|², z € C. Show that f is complex-differentiable at z = 0, but nowhere else.

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Q: Let V1 = 3 0 2 0 4 V2 = 3 -1 5 0 2 0 " and V3 = 3 0 1 -3 5 0 Use the Gram-Schmidt procedure to…

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Q: A trough with triangular cross-section lies along the x-axis for 0 ≤ x ≤ 6. The slanted sides are…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' -…

A: Given that y''-5y'+4y=6tet, with y(0)=5 and y'(0)=-2. We need to solve differential equation using…

Q: 8 n=1 5n. (n!)² (2n)!. 4n

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Q: Jz-oJy 0 J₂0 The region bounded by z = 10 - x² - y², y = x², x = y², and z = 0. The region bounded…

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

Q: Let u(x, y) = √√|xy|, (x, y) = C. Show that ou and ou both exist at (0,0), but u is əx ду not…

A: Given function: ux,y=xy, x,y∈ℂ. To show: ∂u∂x,∂u∂y both exist at 0,0 u is not differentiable at 0,0.…

Q: Given that find the Laplace transform of √√cos (5√t). c{√= cos(5√²)}-0 cos(5√t) πt = e-6.25/s

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Q: 14. y"+y = sin t y(0)=2_y'(0) = -1

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Q: the area of region A in Figure 6. ver: G -Tg A FIGURE 6 F:r = 8 cos 0, Tg = 2, F 2r X G:r = 2 rf = 4

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Q: A mass of 1 slug is attached to a spring whose constant is 5 in/tt. Initially, the mass is released…

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Q: Solve the initial value problem below using the method of Laplace transforms. y'' + 2y' - 24y = 0,…

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Q: Use the form above to write the solution to the differential equation y" - 25y = 5t²e5t y =…

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Q: |ƒ (2)| ≤ A (1 + |2|)", n a fixed real number for all z in that strip, show that for each integer n…

A: Using cauchy inequalities we proved |f^n(x)|=A_n[(1+|x|)^n]

Q: A. Solve the following initial value problem: with y(20) =tan(20). (Find y as a function of t.) y =…

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Q: 1. Let Y = {(n) € 1¹ : x₁ - 3x2 = 0} and define g(x) = x₁ for all (n) € Y. Determine all the Hahn…

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Q: Determine the partial fraction expansion for the rational function below. 5s (s-7) (s²-49)

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Q: Solve the initial value problem below using the method of Laplace transforms. w" - 4w' + 4w =…

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Q: Find the unique solution of the second-order initial value problem. y'' + y' - 20y = 0, y(0) = 3,…

A: Since you have posted multiple questions, we will provide the solution only  the first  question as…

Q: In Exercises 47-52, assume that A and B are n x n matrices with det A = 3 and det B = -2. Find the…

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Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [1,5] by computing the area…

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Q: has a convergent subsequ lim an = x, then n4x 4. The sequence {an}, where {an = n+1 5. Let x R. If…

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Q: In Z₁2, solve x² − x = 6. -

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Q: A certain college graduate borrows 7752 dollars to buy a car. The lender charges interest at an…

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Q: Let g(x) = log4(x) Find g¹ (2) {your final answer just number} *

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Q: 3. A continuous function ƒ is defined on the closed interval -4≤x≤4. The graph of the function,…

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Q: . (a) If g is a primitive root modulo 37, which of the numbers g², g³,..., gs are primitive roots…

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Q: Let p be an odd prime. Prove that (a) If p 1 (mod 5) or p = 4 (mod 5), then 5 is quadratic residue…

A: Given p is an odd prime. (a). To prove that if p≡1(mod 5)  or  p≡4(mod 5), then 5 is a…

Q: 42. List the symmetries of each object shown in Fig. 11-73. (Describe each symmetry by giving…

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