Solve the following equations for the variables specified.
(a) x=43(y−3)+y, for y.
(b) ax+b=cx−d, for x.
(c) 2KL1/3=Y0, for L.
(d) qx−py=m, for y.
(e) (1/r−a) / (1/r+b) =c, for r.
(f) Y= a(Y−tY−k)+b+I+G0+cY, for Y.
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Solve the following equations for the variables specified. (a) x=43(y−3)+y, for y. (b) ax+b=cx−d, for x....
please solve 8-14
8-13. Given the dynamic equations ast) = Ax(t)+ Bu(t) y(t)=Cx(t) I 0 2 0 1 To A = 120 B= 1 C= (a) 1 -1 0 1 [ 0 2 0 1 1 A = 120 B c=1017 (b) (-1 11] -2 1 0 1 A- 7 -2 0 B- C-[1 0 0] A=0 (d) [ 00 -1 832 -} - ic-[1 0] (e) -2 -3 8-14. For the systems described in Prob. 8-13, find the transformation...
tablish the state equations describing the system below R(s) c) Define the state variables in a block diagram d) Define A, B and Cin the state equations: (t)-Ax(t)+ Br() yt) Cx(t)
tablish the state equations describing the system below R(s) c) Define the state variables in a block diagram d) Define A, B and Cin the state equations: (t)-Ax(t)+ Br() yt) Cx(t)
Prove Valid: 1. (z)(Pz --> Qz) 2. (Ex) [(Oy • Py) --> (Qy • Ry)] 3. (x) (-Px v Ox) 4. (x) (Ox --> -Rx) ... :. (Ey) (-Py v -Oy) 1. (x) [(Fx v Hx) --> (Gx • Ax)] 2. -(x) (Ax • Gx) ..... :. (Ex) (-Hx v Ax) 1. (x) (Px --> [(Qx • Rx) v Sx)] 2. (y) [(Qy • Ry) --> - Py] 3. (x) (Tx --> -Sx) .... :. (y) (Py --> -Ty)
(8) 16 pts] For two random variables X and Y, and for constants a,b,c,d R, prove that Var (aX + b) + (cY + d)] = a2 VarlX) + cWarM + 2acCoolx, y In crafting your argument, you are allowed to use any properties of expectations and/or variances that we covered in lecture.
just 1,2,4
Problem 1 Consider the linear system of equations Ax = b, where x € R4X1, and A= 120 b = and h= 0.1. [2+d -1 0 0 1 1 -1 2+d -1 0 h2 0 -1 2 + 1 Lo 0 -1 2+d] 1. Is the above matrix diagonally dominant? Why 2. Use hand calculations to solve the linear system Ax = b with d=1 with the following methods: (a) Gaussian elimination. (b) LU decomposition. Use MATLAB (L,...
I know the answer of a and b but I don't know hoe to do c
dy a) Find- if y = ax +b cx+d b) By using changes of variable of the form (*) show that: dx=-in 3--In 2 4 c) Using the ideas from part a) and b) to evaluate the integrals: r2+3x +12 In dx and In o (x + 3)2 (x + 3)2
dy a) Find- if y = ax +b cx+d b) By using changes...
Let X and Y b Var(Y) (1) If a, b,c and d are fixed real numbers, = E(X), μγ E (Y),咳= Var(X) and e ranclom variables. with y a) show Cov(aX +b, cY +d)- ac Cov(X,Y) (b) show Corr(aX + b, cY + d)-PXY for a > 0 and c > 0.
(1 point) Find a polynomial of the form f(x) = ax’ + bx² +cx +d such that f(0) = -3, f(-2) = 5, f(-3) = 2, and f(4) = 5. Answer: f(x) =
5. SVM: Drive the SVM models: *=Ax+Br , Output: y=Cx+Dr for the system below (D=d/dt): Assume a=4, b=3, c=0.5 and r(t)=5u,(0). Solution: y(t)
= Var(X) and σ, 1. Let X and Y be random variables, with μx = E(X), μY = E(Y), Var(Y). (1) If a, b, c and d are fixed real numbers, (a) show Cov (aX + b, cY + d) = ac Cov(X, Y). (b) show Corr(aX + b, cY +d) pxy for a > 0 and c> O