29 Wires go between Boston, Chicago, and Seattle. Those cities are at voltages IB, IC, rs. With unit resistances between cities, the currents between cities are in y: 1 -1 0 IB YBC YCS -1 0 y = Ax is 1 -1 96 YRS 0 - (a) Find the total currents ATy out of the three cities. (b) Verify that (Ax)Ty agrees with aT (Ay)-six terms in both. IC IS

Q: If A=A(t) find the A? m d²A RT da -3Tcr 2 dt dt

A: We have to solve the homogeneous solution first.

Q: If %₁ 7e45i and z2 = 300i, then the quotient = 22 X.

A: The given complex numbers z1=7e45i and z2=e300 i. To find the quotient of the complex numbers z1z2.

Q: Show that 1 Σ (z – n)2 cosec² (z) 8.

A: As we all know the theorem which states that, For z∈ℂ\ πℤ 1sinz=∑n=-∞∞-1nz-nπ=1z+2z∑n=1∞-1nz2-n2π2…

Q: If 3x = 9y and 27y = 81z, find x/z?

A:

Q: Suppose that P(Xi = 1) =pi = 1-P(Xi = 0), i=1,2 If p1>=p2 , show that X1 >= X2.

A:

Q: Solve for Rf   E(Ri) = Rf + [E(RM) – Rf] × bi             .1020 = Rf + (.1080 – Rf)(.91)

A: Given : E(Ri) = Rf + [E(RM) – Rf] × bi              .1020 = Rf + (.1080 – Rf)(.91)

Q: 1. Find 2(3z + 4)² dz.

A:

Q: .4 -1 sec J2 Evaluate x dx

A:

Q: Let 2 A = 9. -1 (a) Show that A 3 (2+3i) 3

A:

Q: Find the principal value of (1– V3i)".

A:

Q: If Var(X) = 4, Var(Y) = 16, Cov(X,Y) = 3, and E(X) = E(Y) = 0, what is E(XY)? Enter the exact…

A: Var(X)=4 Var(Y)=16 Cov(X,Y)=3 E(X)=E(Y)=0

Q: 2²y" - 4.xy+6y= 0, y(2)=0, y'(2) = 4 %3D

A: The differential equation is given as x2y''-4xy'+6y=0x2D2y-4xDy+6y=0x2D2-4xD+6y=0 It is a Cauchy…

Q: Determine the inverse of Ax) = (x+2)² -3. j(x) =-2+x+3 b. (x)=-3±V+2 f(x) =-2+ x+3 d. (x)=-3+ +2 %3D…

A: The function is given by y = fx = x+22-3                                          ..........1 To…

Q: If %1 = 7e45i and 2₂ = e300, then the quotient- 22 =

A:

Q: 1 of dr is x² S - 2 The value of

A:

Q: sec−π/3

A:

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: If z = 3x² + y² and (x, y) changes from (1, 1) to (1.05, 0.9), compare the values of Az and dz. dz =…

A: The objective of the question is to compare the values of Δz and dz for the given function z = 3x² +…

Q: Starting with x0 - 1.5, yo 1.2, the values x3 and y3 obtained using the pair formulae /+-y.. Y... -x…

A:

Q: 7) Over a certain interval the current supplied to a 10-microfarad capacitor was, i̟ = 5t In(100t²)…

A:

Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: .1 S S, x(x² + y²)²/3dydx

A:

Q: Find for y 12 of 26

A: We solve by using chain rule and Quotient rule

Q: 니.1 Find the Sum 40 2:(31-1)

A:

Q: w = (1³ + 11)8| dw dt

A: Given :   To find

Q: The equation 2tanhx + 5 = 5sechx has solutions ...? a) x = 0 and x = In (-/-) Ob)x= ln 3 and x = c)…

A:

Q: The solution of some second order linear DEQ is exp(-7x)[5sin(1x)+ 7cos(1x)] which can also be…

A: