Evaluate the definite integral. e141 i + ej +t k )dt O e14 – 1 1 Li+ (e- - 1) j+, k 14 (e4 – 1) i- (e- - 1) j+ k O el4 1 i - (e-1 – 1) j + k i-etj+ (e-1 – 1) + -- 14 O e14 k 14 O el4 – 1 14 2

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A: To write the

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A: This question can be solved using the concept of integration by substitution.

Q: Consider Check all that apply. OA. first order B. ODE C. PDE OD. linear O E. third order OF second…

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Q: 2. Use Wronskian to show that fi = x, f2 = ln x, and f3 C° (R). x In x are linearly independent in…

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A: Given numbers are                                          a) 41/2b) (-4)1/2 c) 11/3 we have to find…

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Q: 5. Find the Fourier transform of f(x) = 5 if lxl<1 and f(x) = 0 otherwise.

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The Fourier…

Q: Tutorial Exercise Evaluate the definite integral. √3/4 6. 70 Click here to begin! 1 1 + 16x² dx

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Q: For complex variables y, z = C, show that Jn(y + 2) = Σ Jm(Y)Jn-m(2). m=-

A: As asked, we shall solve only part (2).

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A: The objective of the question is to describe the action of the operator β on the state Q, where Q is…

Q: 2 (q + 12)4 S bp.

A: integral

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A: Given that  ∇·excosxy^+ey2-y5z^=0 Now, ∇=∂∂xx^+∂∂yy^+∂∂zz^ So,…

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A: Given rt¯=t2i^+t+13t3j^+t−13t3k^ and t=1 We have to write a→ in the form a→=aTT+aNN The formula of…

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Q: 4x - 4x - 4 e – 4x 4x) 2 + e 4x

A: Integration: We need to find ∫-224e-4x-4e4x(e-4x+e4x)2dxLet I=∫4e-4x-4e4x(e-4x+e4x)2dx

Q: Find the indefinite integral. Swin (w-9)dw Select one: O a. O b. w²-81 2 O C. O d. wp²-81 2 O e.…

A: Let, Taking integration as Let,