S H R To find the volume of the cone in the picture where S = 5 cm and R = 3 cm:

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Q: 1. Find the Fourier integral formula for each of the following functions: f(x) = { x +1₁ |x | π.

A: Given: f(x)=x+1, x<π0      , x>πTo find: The Fourier transform of the given function."As per…

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A: (a)

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A: Given: Second-order differential equation, d2ydt2+6dydt+9y=9xTo find: The natural frequency of the…

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Q: 0 1 π/4 arctan(2) 2xsec² (y)dydx

A: We solve the double integration.

Q: 1Q: Using Newton Divided difference formula obtain the value of x when y=200 using the following…

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A: Given : F→x, y, z=x3i+y3j+z3k x2+y2≤4, 0≤z≤3 To find: ∬S F→ ·dA→

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Q: Prove that the functionf: R2 → R defined by f(x, y) = 1 - ² - 4y² is neither injective nor…

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Q: 4. Let R be an integral domain having field of fractions F (a) Define i: R→ F by i(a) = [(a, 1)].…

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Q: Evaluate. The differential is exact. (4,4,5) (1, 1, 1) .. O In 80 O In 13 0 80 In ܫܘܐܐܘܠܐܘܐ X dx + 1…

A: In the given problem we have to find the value of the integration . Where the differential is exact.…

Q: 8. a b (3-3) ¹/ (cjs 30)-²(cjs40)6 Simplify (cjs 20) ³ (0e/38²

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Q: Question 35 Using Green's Theorem, find the outward flux of F across the closed curve C. F = (7x +…

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Q: 3). y" + 2y' - 8y = 24, Given the IVP: y(0) = 0, y'(0) = -6. A) Use the Laplace transform to find…

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Q: 5. Let h - Ah = x = [1 + ²√5 h = √5], 0 where h is a real parameter. (a) Find all values of h for…

A: The question is from stability analysis.

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A: True or false statements

Q: 66 If a,, b, EN for i = 1,2, 3, then c e determinant; 1+x) a₁b₁ 1+ x) 0₂b₁ (1+x) a₁b₂ (1+x) 0₂b₂…

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Q: -> -->> u, v and w are three non-coplanar unit vectors and a, ß and y are the angles between u and…

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Q: Question The inverse Laplace transform L is equal to elf. -3s +36 s²+36 Select one: O True O False…

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Q: Using the inverse Laplace transform, we have s+ 14 C-1 s(s+ 2) where Select one: O f(t) = 7-6e-21…

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Q: Given the differential equation 2y" - 14y +24y = 2e-3x + 24y

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Q: 28 If √1− xº + √1− yº = a³(x³ - y³) lf dy 1-y6 2 x²

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Q: The augmented matrix is given for a system of equations. If the system is consistent, find the…

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Q: Are the following functions odd, even, neither odd nor even (a) x² cos x (b)sin x +cos x (c)f(x)=ex²…

A: According to guidelines i solve first 3 subparts of first question only. So kindly request you to…

Q: em 8.5. Let a 2 100. We have (x) > log loga.

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Q: Question 1. If the Fourier transform of f(t) = {} 3 0<t<2 0 elsewhere is F(w), express the Fourier…

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Q: TRUE OR FALSE 1. Under deterministic approach (one which investments are not subject to financial…

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Q: Question 23 Evaluate. The differential is exact. (2,2,2) (1, 1, 1) 0 1 07 O 8 5 2z8 3z8 dx - x3x3…

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Q: Suppose C is the curve given by r(t) = (3 cos(t), -3 sin(t), 4t). Show that both the curvature as…

A: We find curvature and torsion.

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Q: Evaluate the surface integral fF.ds for the vector field F(x, y, z) = zi + 4xj +10yk S where S is…

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Q: 3 Example 63 Let f(x) = 6 is constant. Then, find sin x -1 рр2 cos x 0 p³ 3 d³ 3 dx 3 [f(x)] at x =…

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Q: Properties of Functions be funcion Show that f: R → R defined by f(x) = x³ + 1 is bijective. follow

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Q: To find a particular solution for y" - 6y' +9y = x² + 10 with the method of variation of parameters,…

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Q: Q. 4 Use Secant Method after two iterations to find the root of: f(x)=x³-20 Taking Xo 4 and x₁=5.5…

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Q: the sequence a1, A2, A3,... Ans. is an A.P., then prove th 2 n ²-a² + a²-a²+ + a²n-1-a²n -(a₁ - a₂n)…

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Q: Find the work done by F over the curve in the direction of increasing t. F = ti + = j + k ; C: r(t)…

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Q: 1. Determine whether the given set of functions is linearly independent on the interval (-∞,00).…

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Q: Suppose F(x, y, z) = (x, y, 5z). Let W be the solid bounded by the paraboloid z = x² + y² and the…

A: F→x,y,z=x,y,5z The solid is bounded by the paraboloid z=x2+y2, z=25

Q: Question 1 Given the differential equation 2y" - 14y' +24y = 2e-3x a) Classify the given…

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Q: is equal to Select one: True False L-¹ { = + 3 s² +9 52 - 1 1 -/- 1 + 36 ²1 1 3 { } s² +9

A: Properties of Laplace transformation

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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