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: 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: 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: (a) Calculate the x-components and y-components of B. Br B: = By = B = 16.3 0B = 27.5⁰

A:

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: 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: Cartesian to Cylindrical Coordinates.

A:

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-…

A:

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: 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.…