5.Transform this LP model into a proper standard form Minimize Z = 8x1 +2x2 +7x3 Subject to : 2x1 + 6x2 + x3 = 30 3x2 + 4x3 < 60 4x1+ x2 + 2x3 < 50 X1 + 2x2 > 20 х1, х2, х3 > 0

Q: (²) BC₁crp (u² csc² 6) + K = = 9 ( 3 ) πr²u²p + K

A: Given: 29BCLcrpu2csc2θ+K=49πr2u2p+K

Q: Find the parabola y = ax2 + bx + c that best fits the four points (0,0),(1,2),(2,3),(-1,1) by the…

A: Step 1:Step 2:  Step 3: Step 4:

Q: Explain Perpendicular Least Squares.

A: Introduction: The perpendicular least squares method is a special method of fitting a linear model…

Q: Let a0, a1, a2, a3, a4 be constant real numbers such thata0/5 + a1/4 + a2/3 + a3/2 + a4 = 0.Show…

A: Consider−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−f(x)=5a0​x5​+4a1​x4​+3a2​x3​+2a3​x2​+a4​x.with  input from…

Q: Find a linear funtion P(z) = a + a₁ which gives the best least squares fit for the following points:…

A: Given the points -4,0, -2, -2, 4,-9, 5, -8. Now,  x y x2 xy -4 0 16 0 -2 -2 4 4 4 -9 16 -36…

Q: Find the absolute max or min for (x+1)(x^2-4)

A:

Q: Let u = 3 II x₂ that satisfy the equation X2 -4 CHE 3 || -5 -3 (Simplify your answers.) and w= -4 -5…

A:

Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: Find a polynomial P(z) = a + a₂z+ª₂x² of degree 2 which gives the best least squares fit for the…

A:

Q: Suppose P is the invertible and A = PBP^-1.  Solve for B in terms of A.

A: Do an algebraic manipulation of matries by multipliation.

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

A:

Q: Write the equation of the square root function that has domain 5, 00) and range -4, oo). f(x) = Vx…

A: To write the equation of the square root function that has  domain [5, ∞) and range [-4, ∞)

Q: Why the minimal polynomial x^2 - (sqrt(2)+sqrt(-2)) splits into linear factors over K?

A: Assume K is a field that includes the square roots of both 2 and -2. The formula for the element  α=…

Q: With f(z) = 5z² – 7z – 2, find the following: a) f(2) b) f(1) + f(0) c) f(r+h) – f(r - h)

A:

Q: why the minimal polynomial x^2 - (1+sqrt(2)) does not split into linear factors over K?

A: Let K be a field  . Then a polynomial f(x)∈K[x] splits into linear factors in K if K contains all…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.