2) FIND THE TAYLOR POLYNOMIAL 13 (x) foR THE FUNCTEON f CENTERED AT THE NUMBIER a . TOU ON -4x flx= xe To)=

Q: Q1.In the differential equation 4(3x + y - 2)dx-(3x + y) dy = 0, we let the substitution dw…

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Q: A. Find the area enclosed by each of the following curves. T= 4 sin e

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Q: Let A = [ 3*0 .8 = [ Jand C = [14-0 Jand c = [1* | Find the matrix X, if 8+0 -10 A? + 3X =C |B|

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Q: 1. (a) Evaluate the polynomial y = x³ 5x2 + 6x + 0.55 at x = 1.37. Use 3-digit arithmetic with…

A: Solution a: Given polynomial is y=x3-5x2+6x+0.55 at x=1.37…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: A vector-valued function is of the form rt=fti+gtj+htk, where t is the parameter and the…

Q: Question 2 Consider the following IVP: x" + 4x = t+4; x(0) = 1, x'(0) = 0 Find the general solution.

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Q: Verify Stokes Theorem for the vector field F(x,y)=(-2yz) i + y j+3x k on the part of the paraboloid…

A: Given F→x,y =-2yzi→+yj→+3x k→  We have to Verify the Stokes theorem for the given vector field on…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Suppose a1, a2, a3, a4, and a, are vectors in R°, A = (a1 | a2 a3 a4 a5), and 0 0 0 1 0 [1 -5 5…

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Q: Find the general solution of this ODE: d'y dy + 12 + 37y = - 6e-4t dt2 dt The solution will be of…

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Q: Evaluate the integral shown using Simpson's 3/8 Rule with 30 panels. 12 ) dx 4arctan O 32.52059525…

A: Given integral is ∫2124arctanx6dx

Q: Find the solution. dy x3 – 2y dx A y= 3x3 B 2y2 5 y3 D xy= + + II

A: To find the solution of a given differential equation first we will convert it into the form of…

Q: ()* + dy What is the general solution to the differential equation y = 0 ? dx In(1+ Ay) = Ax + B y2…

A: We have yd2ydx2-dydx2+dydx=0 Let dydx=p Then d2ydx2=pdpdy So, yd2ydx2-dydx2+dydx=0 becomes:…

Q: Show that the lines L1 : x = 1 – t, y = 2t, z = 4+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: Kora uses the following ingredients to make 1 s'more. Ingredient Amount Graham crackers Chocolate…

A: To solve this problem we need to find out how much amount of Graham crackers required to make 1…

Q: Question 17 Find the solution. (4D3 + 4D2 + D)y = 0 A y = c,x+ (e,+cz)e¯/½ B y = c e © y = c,+…

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Q: 1. Are the following matrices diagonalisable? Explain your answer. 2 0 50 1] a) A =-2 3 -1 -2 0 3 c)…

A: A matrix is diagonalizable if and only if for each eigenvalue the dimension of the eigenspace is…

Q: The steel beam of uniform T-section shown in Figure Q3(b) is simply supported over a length of 2.5 m…

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Q: ind the Laplace Transform of f(t) = cos² 3t A F(s) = 2 s2+36 B F(s) = + s2+36 6 F (s) = + s²+36 2 s2…

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Q: eVx² +y?+z? T(e4 – e)(x² +y² + z?) Let f(x, y,z) Let S be the solid bounded by the xz plane and the…

A: Here we can use spherical coordinates to find the value of the integral. In spherical coordinates…

Q: a) Find the distance between m = [-2,3, 2,0,3, – 13, –5] and n [4, –1,1, -5,0, 11, -3].

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Q: What is the sum of the infinite series 4 2n 37 ()* 37 2 2 1 +...+ (-1)" + (2n+1)! •• ? 3! 5! 7! O -1…

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Q: 1. If p>9 2 5 and p and q are both primes, prove that 24 p - q.

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Q: Find the laplace of each f(t) (e3t+e) sin2t 4. 2e7t

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Q: Given the function f (x,y) =- Vx+y² which ONE of the following statements is CORRECT? O A. f is only…

A: Given function: f(x,y)=5x+y2 To find: Correct option

Q: Find the laplace of each f(t) 5. 2t'e 4t

A: Solution

Q: 3. Let F(n) = 9F(n – 1) – 24F(n – 2) + 20F(n – 3) with initial conditions F(0) = 1, F(1) = 5 and…

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Q: Consider the function f(x, y) = &x² – 8y² subject to the conditionx? + y² = 9. Use Lagrange…

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Q: Find the solution dy y =Dxy dx

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Q: Find the solution. (x+e) dy - dx =0 (A y=ce" + ye B x=ce" + ye" x=ce + ye D y=ce" +xe

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Q: Consider the IVP: x" + x = 4e ; x(0) = 1, x'(0) = 3. Find the general solution. A x(t) = 2e'+cost –…

A: Given differential equation is x'' + x = 4et ; x(0) = 1, x'(0) = 3

Q: rm of the wayeform

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

A: This is the problem of optimization.

Q: Which of the following is the general solution to the differential equation (x + 2y)dx + (x + 2y +…

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Q: Prove each of the following by mathematical induction. 1.3 + 2.4 + 3.5 + ..+ n (n + 2) = (n) (n+1)…

A: The Principal of Mathematical Induction states that if P(n) is defined for integers n, and a fixed…

Q: 9. Use the series solution to solve the problems. a. xy" + 4y'-xy = 0

A: Since you have posted a multiple question according to guildlines I will solve first question{Q(a)}…

Q: Solve the given partial differential equation a² z %3D dx? at?

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Q: exercise Find the laplace of each f(t) 2. sin8t sin6t

A: We have to find the Laplace transform of ft=sin8tsin6t

Q: Q3-Find the area outside the cardioid r=2+2sind and inside the circle r-6sind Answer key Area-circe…

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Q: 128 +... is equal to ...(Correct to 3 decimal places) 2 8 32 The series 3 -- ..... 33,3 35.5 37.7

A: We have the series 23 - 833·3 + 3235·5 - 12837·7 + . . .

Q: Evaluate the double integral. dA, D x² + 1 D = {(x, y) | 0< x< 7,0 < y < Vx}

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Q: 2. List the amplitude, midline, and period of each of the following functions: (a) 3 cos(T/4 * x) –…

A: We will use standard form of equation  For y= a sin (bx+c) +d           or     y= a cos (bx+c) +d…

Q: Which of the following is the general solution to the differential equation (3s – 2t + 1)ds = -(3s –…

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Q: Give a Taylor Series expansion of f(x) = ln(x) and use its first 5 terms to approximate ln(7). Also,…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: ssint, 0<t < TI 0, t2 Tt , y(0) = 0 y'(0) = 0 5. Find the solution of the IVP y"+ y' +y : %3D

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Q: Find the solution. (x³ + 3y) dx – xdy = 0

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Q: If (a,b) denotes an arbitrary interval of numbers on the real number line, Find the probability when…

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Q: Tests for Convergence 1. Consider the series Inn n=1 a. Use Comparison test to show that the series…

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Q: QUESTION 2 The following differential equation is considered. (y cos x +e*)dx+(sin x+ y² )dy = 0…

A: We have a given differential equation ,  y cosx + e-xdx + sin x + y2dy = 0 Compare it with Mdx + Ndy…

Q: Find the solution. dy +y= dx 1+e* A y = ce¯*+e¯*In(1+e*) B В y = ce¯ – e ¯*In(1-e*) се © y =…

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