Prove whether the pollowing series converges and state which theorem diverges. to prove. or you use 80 n.5"

Q: The linear mapping F, defined as F:R? → R? defined by F (x, y) = (x + y, x + y). The basis of its…

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Q: 43 m 20 m A tunnel is in the shape of a parabola. The maximum height is 43 m and it is 20 m wide at…

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Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) 4x+ 2y + z %3D subject to a…

A: To solve: Maximize fx,y,z=4x+2y+zSubject to x2+y+z2=1By using lagrange multiplier.

Q: What would be the degree of the differential equation? d3y [a²y] d²y = x²log ax +7 dx3 Ldx2. С. 3 D.…

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Q: Differentiate Зх — 6 - y = csc 5x2 + 9

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Q: 3. Let f(x) = x(x² + 1)/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f, f(x)dx…

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Q: Problem (i) Consider the normalized vector v in R3 and the permutatior matrix P, respectively 1 v =…

A: given  v=1311-3  =1313-3 P=010001100 (i) are these three vectors v , Pv , P2v linearly independent?…

Q: Given the tree below, find the following. e) Which vertex is the parent of h? f) Which vertices are…

A: 1. d is the parent of h 2.sibling of o is p 3.ancestors of m are b,g,e,f

Q: Find the eigenvalues A1 < A2 < d3 and corresponding eigenvectors of the matrix -4 0 -7 A = 9. 3 The…

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Q: a) The shaded area enclosed by the curve y = x? - 4 and the x-axis is rotated around the x-axis to…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: Let h be a function with two variables with continuous second order partial derivatives hxx, hyy and…

Q: I. Show that the function f defined by (1, y) = (0,0) %3D f(r, y) (1, y) # (0,0) I+y is not…

A: Given                 f(x,y)=1 , (x,y)=(0,0)                           =x2+yx+y ,…

Q: lcose sin el sin e -cos 0 sin el cos cos 0 Find the inverse of [sin 0 cos 01 а. sin 0 -cos c. cos 0…

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Q: Numerical Methods a) Employ any suitable numerical methods to estimate the water level from t = 0…

A: A table is given that shows the relation between time and velocity rate while the water is drained…

Q: [B] Use the Newton-divided difference formula to find a polynomial of the form P„(x) = = ax4 + bx³ +…

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Q: 2. x"(t) – 4x'(t) + 4x(t) = 4e²t; x(0) = –1, x'(0) = -4 %3D

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Q: Clarify that f :R → R defined by f (x)= 1 is uniformly continuous. 1+x?

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Q: A.3 Direction: Let p be "She is not beautiful" and let q be "She is not intelligent." Write…

A: p : she is not beautiful  q : she is not intelligent

Q: If L{f (t)} = F(s) evaluate F(1) in f(t) = te-2t sint cos t.

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Q: IF R= 5B-2C find the value of the following R10 13 W16 11 14 17 r32 #12 15 18

A: To find the elements of the given matrices :-

Q: Write a fifth-order differential equation that has the following general solution: Cез* + Сzе-2х +…

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: According to the given question, create an example to show the area between two curves and how to…

Q: Two curves having an equation of x = 2vy and y = 2Vx intersect each other. Compute the area between…

A: Solution:-

Q: Solve for x when x– 3A + 2B = 0 -4 01 1 21 A = = 1 -5 and B =-2 1 -3 21 4 4] --14 7 -14 -4 4 7 -17…

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Q: Two pair misread values. A computer while calculating she correlation coefficient.between two…

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Q: Solve the equation y" + 25y = 75, y(0) = 0, y' (0) = 1.

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Q: [2y ++e* (1+}]dx + %3D

A: To solve2y+y2x+ex1+1xdx+x+2ydy=0

Q: By Variation of Parameters 1) xy' + (1 – x)y = xe* 2)(x²

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Q: b. the tank height in mm. 2563.7 O 2.5637 256.37

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Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

A: To solve the second order differential equation by using the method of undetermined coefficients.

Q: Check whether the solution is balanced or not. Then, use the Northwest Corner Rule to find the…

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Q: Consider the following initial value problem: y" + 10y' + 50y = h(t); y(0) = 0, y(0) = 5; %3D S 50,…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: Solve the equation y' = x^3 + y^3 / xy^2 fraction homogeneous first order ODE set v= y/x

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Q: 4. Fit a second degree parabola y = a + bx + cx? to the following data 2. 8. 10 y 3.07 12.85 31.47…

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Q: 5) f(t) = f(t) = e¯2t/1+ sin2t

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Q: Investment Mixture A sum of $20,000 is invested in three mutual funds. In one year the first fund…

A: Given: Total investment =  $20,000

Q: Consider the sequence defined by the recurrence: a0 = -1, a1 = 2, an+2 = 3an+1 - 2an (n is greater…

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Q: . Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³.

A: (2)  Given data curve is  f(x,y)=7x-8y+2xy-x2+y3.............(1) then fx=7+2y-2x    &amp;…

Q: Find the Taylor series for f(x) = sin(2x) centered at 7/2. %3D Find the radius and interval of…

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Q: 1.y" — у' — 2у 3D 7sinh3t — Зcosh3t ; У (0) 3 2, y'(0) = 4

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Q: Find the curvature of the curve 7 (t) = (4t, – 3t, – t) at the point t = 2. Give your answer to 2…

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Q: 3. Evaluate the following limits, if they exist: 1 (a) lim 1 +3 2x x→-0

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Q: Let g : B → C and h : B → C be functions. Suppose that go f = hof for every function f: A → B. Prove…

A: We have to prove that g(x) = h(x) for all x belongs to B.

Q: 6. y" + 3y'-2y e-2* [(4+20.x) cos 3x+ (26-32x) sin 3x]

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Q: g. L[cos(3t – 4)] h. L[t³sin(2t)cos(2t)] i. [[te-atsin(at)]

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: A system which is represented by the given equation below, is able to work effectively even when the…

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Q: 1 example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: consider the curves  fx=x2 , gx=8-x2

Q: Evaluate the integral F· dr. F(x, y) = (7x2 + y) i + (8x – cos y) j where Cis the boundary of the…

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Q: 目 Our aim is to write gcd(200,113) as linear combination of 200 and 113. Below is the table related…

A: Correct option is none of the mentioned