Solve following integral TX sin 0 TTX sin a →/31 2 √ dx

Q: Convert these complex numbers to polar form and check yo such as Mathematica. (If using Mathematica,…

A: A complex number can be converted from rectangular to polar form and vice versa as:

Q: Evaluate the double integral 3 + 2х + Зу dх dy : y=0 Jx=0 Select one: O 22/3 о 13/3 O 35/2 O 12

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Q: Compute the line integral of = 6x + y zŷ + z 2 along the triangular path shown in the figure below.…

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Q: F = = dt d mu dt √1-u²/c² m / T = ²^U2² / 0² {² - a + = m u(u. a) (c²-u²) du dt √1-u²/c² }. qed + u…

A: Here differentiation of product and chain formula of differentiation is used.

Q: For any two vectors A and B, if A.B =0 then the angle between them is Zero aO degree 90.b O degree…

A: Given here for two vectors A and B if A→. B→ =0we are asked what is the angle between vector A and…

Q: Mathematics 9. A spring is attached at one end to support B and at the other end to collar A, as…

A: Ans:- Image-1

Q: A particle undergoes a displacement ∆r>of magnitude 54 m ina direction 42° below the x axis.…

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Q: se Show that the (1, 0, 0) and (2, 0, 0) wave functions listed in Table 7.1 are properly normalized.…

A: Hence the wavefunction ψ100​(r,θ,ϕ),ψ200​(r,θ,ϕ) is normalized wave function.Explanation:Step 1:Wave…

Q: H=ре салфар te'sing an tpar At point (1,5,6) find: a) H⋅ax b) H x do c) The vector component of H…

A: Given, H=ρzcosφaρ+e-2sinφ2aφ+ρ2az

Q: how were these equations derived

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Q: 1. Evaluate the integrals. a. b. C. [² (3 + 1⁄2 u ² - /3 4³9) du S² = 4/5 dx 27 [²√₂ √xdx

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Q: 3. Plot the slope field for the differential equation = y² – x and sketch the solution for the…

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Q: Find the flux of F=−zi+yj−xk out of a sphere of radius 4 centered at the origin. Hint: Your answer…

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Q: Given Q> Find: 2 |Q|² $ 3 0> 4 1> Find: , and

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Q: Given vectors ū = [-2,3,1] i = [1,2, –2] and w = [4, –2, –1] find: b) ü w b) the angle between i and…

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Q: Verify the following relations for cylindrical coordinates u = r, v = 0, w = z: a) the surfaces r=…

A: The relation between cylindrical and cartesian coordinates is,   r=x2+y2               z=z x=rcos(ϕ)…