Determines the volume generated by curves x² + y² =25 and y² - 6x +15= 0, when rotating around the Y axis

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Q: Simplify each algebraic expression. (A) 7x³y +9+ 6xy - 7xy-21-7x'y

A: For the given expression 7x2y+9+6xy-7xy-21-7x2y  is  -xy-12

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Q: Ques! a) 4) Solve the following 457 34506) (FF.005) 16 x (2.05€) 16

A: As you asked only 1st two subparts so i answered only that.

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A: Introduction: A power series can either be convergent everywhere or can be convergent over a…

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Q: Ex3 i) ii) Let T: C ([0,1]) → R f → f(0) If C ([0,1]) is equipped with the sup-norm, show that T is…

A: As per the policy, we are solving first question. Please repost it and specify which question is to…

Q: E.S. nsider the following matrix: 1 1 0\ A=0 2 0 0 3 0 ➡blem E.3.a. Find the eigenvalue(s) and the…

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Q: 15:00 liverpool.mobius.cloud a. Find the Laplace transform of f(t) = t5 e6t (using the tables given…

A: Disclaimer: Since you have asked multiple question, we will solve the first question (part a) for…

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A: These are the problems from Vector Calculus.

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Q: 42 The solution of the system X'-(-3); x-(1) 0 Select the correct answer. O a. -2 *x-(( 3² )…

A: Given: X'=42-3θX;  Xθ=1θ We have to find the solution to the given system.

Q: Please solve the initial value problem and show your work clearly. Thank you.

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A: Given :              Fx , y , z=2xi+yj+4zkru ,v=sinu cosvi+sinu sinv j+ cosu k       0≤u≤π3  ,…

Q: Consider the following matrix: A = (²³) 3) Problem E.1.d. If the matrix A is diagonalizable, find…

A: We have to solve given problem:

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Q: Let f(x, y, z) = 9 (√x² + y² + 2² where g is some nonnegative function of one variable such that…

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Q: Consider the polar curves C₁ and C₂, where: C₁ is the upper half of the circle r = cos 0. C₂ is the…

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Q: Consider the function f(t) = 9 sec² (t) - 3t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 77541 Solve the following LPP by Dual Simplex method. Min +255x1 +681 s.t. x1 + x2 ≥ 2 4x1 + x2 ≥ 4…

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Q: Solve the following Heat Equation in cylindrical coor- dinates. u depends on p and t only. 1 U = Upp…

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Q: If f(x) = tan(2x), what is the absolute difference between f(5.4) and T₂(5.4), if the second degree…

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Q: I. Find the solution set of the following. 2(1 + cos x) sin x 3. tan X 2 x = [0, π] 153

A: tanx2= 2(1+cosx)sinxtanx2=2(1+2cosx22-1)2sinx2cosx2tanx2=2cosx2sinx2

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Q: Q01. Let S = {1, x, x², x³} denote the standard basis of P3(F) and let C = {To(x), T₁(x), T2(x),…

A: The notation sPc use for the transition matrix from basis C to basis S.

Q: Determine the initial value of the quadratic relation y = 7x²+2x-32. Enter a numeric value only.

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Q: A 2 X 2 constant matrix A has an eigenvalue -3+4i. Determine if each of the following could be a…

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A: Given that R be the region bounded by the graph of y=x2−3 and x=y2. a We have to find the area of R.…

Q: Consider the function a) b) Prove function & R R given by Prove there that Prove f'(e) f(x) there…

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Q: d. Let t = H hours be the time during the workday (0 ≤ t ≤8) when G(t) = 100. N(t) = 20(t -…

A: Introduction: When an independent variable moves towards te cluster point, the function also moves…

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Q: a₁ = 2, a₂ = 3, an+ 1 = 2an-5an-1 Find as

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Q: What is Q(1.5) if f(x) = cos(x) and Q(x) is centered at? Round your answer to 4 decimals, for…

A: We know Taylor's series for f(x) around x=a is  Q(x)≈∑k=0∞f(k)(a)k!(x-a)k

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A: Since you have asked multiple questions, we will solve the Question Q (1) and (2) for you. If you…

Q: Find the Fourier series for the following functions: f(x) = {²¹ -2≤x≤0 0≤x≤2

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Q: Find an area similar to the example f(x)=x^2 from [0,1] that we couldn't have computed from…

A: Given That: f(x)=x2 To Find : Area using Riemann sums

Q: Let G be the solid in the first octant bounded by the planes x = y ₁ Y = 2,2=0 and x = 1. Set up an…

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Q: Calculate the geodesic curve of the surface x^2 +y^2 -z=0

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Q: IV. Fill in the blank to make each statement true. Use correct notations. 2. If f(x) = 1 – log5 x,…

A: Let f:A-B be a function. Inverse of f is defined by a function g:B-A such that f•g=IB and g•f=IA . A…

Q: Set up an iterated triple integral equal to | = √√3 √3-x² √√30 x²+y² 3 √2-√4-x²-y² 2y dz dy dx…

A: The given problem is to set the given triple integral in Cartesian coordinates to convert into the…