if u(x,y) = e sin (y) %3D show that: Uxx +Uyy =0
Q: -5 7 9- -4 -5 23 – k -5 9 -k k + 6 | Use row operations on ( Alb) by substracting row 1 from row 2…
A: Given: A matrix of order 3×4, To find: Result in the matrix by subtracting row 1 from 2 and row 3…
Q: Prove that: (mxm, Tx Ty)/2 cos(0) My my 2 @= Tx - 1)+Ty My
A: Solution: Consider a nuclear reaction Where x is the projectile and X is the target nucleus which…
Q: 14 Find the eigenvalues of the matrix A = %3D 23
A: A=1423 So for eigenvalue, we have to calculate; DetA-λI=0…
Q: Q1: If (4, = 1/V2 (-i 0 1) and (42 = 1/V11(1 1 3). Find the outer product of: 1. |41)(42| 2. 142)(Y|…
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Q: Let E(r) : Calculate the line integral | E(r) - dr along the path a bc in the following two straight…
A: Let's solve the problem in Cartesian coordinate system. Given
Q: mw H.W.: If Pn(x) = An(a4)" e¯ ,then 2h (a) find A1, A2, a441, a_Þ½
A: Given: The wave function is
Q: = [v²s (v)dv 3/2 m f(v) = 47| ; where, av mv 2tkT Prove that |3kT Vrms m
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Q: Question 3: Laplace Transforms A heat exchanger warms a fluid flowing through a tube by a hot fluid…
A: As given, The outlet temperature, dUdt=Ae-tB-U-CU-20D…
Q: Proove the follow commutators: (a) [L,x] = ihy (b) [L„,Þy] = -ihpx %3D
A: We know that the operator representing x component of the angular momentum is given by Lz=xpy-ypx…
Q: Radius is given by R(z) = 10,1 %3D 15 Using cylindrical polar coordinates, calculate the volume,…
A: here the volume required is in cylindrical co-ordinateswhere R(z)=10…
Q: 12 R1 1KO 13 R2 1.5k2 30V + 15V R3 2.2KN
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Q: lock of na 10. A nail with the help of a spring of stiffness 5.0 N/cm. Coefficient of friction…
A: during that stretched period of nail, it will store a potential energy PE=12kx2
Q: (a) Calculate the x-components and y-components of B. Br B: = By = B = 16.3 0B = 27.5⁰
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Q: For A = x āx + y āy + z āz and B = 2x āx + 3y āy + 4z āz Find the following a) C = Ā×B b) at (1,2,3)…
A: The cross product of two vectors is given by The dot product of two vectors is given by
Q: Given sin A = 13 5 for angle < A < n, determine tanA: O 13 5 O-5 13 12 12
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Q: A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m…
A: The mass of the bacterium is 0.100x10-18kg, velocity is 1.00x10-6m, and the percentage of…
Q: An airplane traveling at v = 159 m/s emits a sound of frequency 5.00 kHz. At what frequency does a…
A: Frequency will be measured high when the plane is approaching = 9.29Hz Frequency will be measured…
Q: Two forces, F₁ and F2, act at a point, as shown in (Figure 1). F₁ has a magnitude of 9.00 N and is…
A: Given:- The magnitude of the vector Force F1 and F2 as F→1= 9 N F→2=6.20 N The angle is α= 61.0°…
Q: 9. Show that the following functions are entire (see Definition 3.1). (a) S (2) = cosh z sin y-i…
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Q: 22, if a = 1 , otherwise 2. %3D Let f : R Rwith f(x) Which one of the following statements is true?…
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Q: Show that (a) [Jz, J+] = J+ = iJ₂
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Q: describe Y as a function of X
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Q: y" + 14y' + 50у%3D 0%;у(0) — 2 аnd y'(0) 3 -17
A: Given: y"+14y'+50y=0, y(0)=2 and y'(0)=-17
Q: 44.06522=9.53(0.23+0.0045(T-293.15)) Solve for T temp
A: Given question is simple math calculation for finding T(temperature).
Q: The maximum value of the expression sinθ+µcosθ, when θ can take any value.
A: Write the given expression, differentiate it with respect to theta and equate it to zero to get the…
Q: If A = (x²y)î + (2y z)j+ (xyz?)k, find the gradient of the divergence of A at the point (-1,1,-2)…
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Q: Cartesian to Cylindrical Coordinates.
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Q: Given that L* = L, ±iL, and L÷Ym (0, 6) = NYm±1 (0, 6), where N = h/(l+1±m) (t=m), show that, L* +L-…
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Q: A person is standing at the edge of the water and looking out at the ocean (see figure). The height…
A: a) Apply the Pythagoras theorem in the triangle to calculate the distance of the person's eyes from…
Q: ) = Solve the IVP: xdy + (y – cos x)dx = 0, y %3D
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Q: 43) What will be the value of angle C? A. 27° B. 67° O C. 84° OD. 137° 44.) What is the measure of…
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Q: Determine whether each of the following vector fields Fis path independent (conservative) or not. If…
A: There are mathematical condition which can be used to test whether the force is conservative or not.…
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