(c) (d) Find the dual problem maximize - 4x +7z+y subject to z - 3y = 2, 3x+6y= 2 x, y, z ≤0 Find the dual problem maximize x - 3y subject to 3x - 2y ≤ 5, x+y≤ 10 Find the dual problem minimize 4x + 2y subject to x + y ≥ 5, 2x-3y ≤7

Q: Let B={1, x, x², x³} be a basis for P3, and let P={P₁, P2, P3, P4} be the set of polynomials given…

A:

Q: Apply Euler method and Richardson extrapolation for h = 0.2, 0.1 the problem: and abtain g y' = ty…

A:

Q: 49-52. Equipotential tions and the graphs of their equipotential curves. Find the associated…

A:

Q: a) State the number of stationary points and label them approximately on the graph. b) Sketch f'(x)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Q7. Using Simpson's Rule evaluate the integral (√x+1) dx using 8 subintervals.

A: In this question,  we have to evaluate the integral ∫08x+1dx using 8 subintervals by Simpson's Rule.

Q: Give an example of two sequences (an) and (bn) such that all of the following are simultaneously…

A: To Give: An example of two sequences an and bn such that all of the following are simultaneously…

Q: A single-input, single-output system has the state variable representation a. O b. O C. O d. T(S)…

A:

Q: Let's assume we measured the heights of boys and girls attending grade five at the Haines Elemntary.…

A:

Q: JA Let ₁ Select one: 0 a Ob (-)- Oc subspace W- Span (x₁, x₂) of R³. Let y = Od and x₂ = () ŷ-projw…

A: There are 4 different question and you are not mentioning which question I have to solve I will…

Q: n A ramp function is given: f(t) 5t-3, t>0 t<0 10, Sketch: f(1-2)

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Apply Euler-Cauchy Runge-Kutta method for the equation: y' = 2y t y (1)=1 and and abtain y, Y₂ y h =…

A:

Q: 10. Let F(x,y,z) = (x² + y², xz, y² - z²) and D be the region which is bounded by the surfaces x>0,…

A:

Q: Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at…

A: We have to use relation between cartesian and spherical system  x=ρ sinφ cosθ , y= ρ sinφ sinθ , z=…

Q: 29. Consider the function f: R² →R: (x,y) → f(x,y) = g( Determine the gradient of f. 1 1 2x - 2y g(1…

A: Please check the next step for details.

Q: Use the Fundamental Theorem of Arithmetic to prove that 8 is irrational.

A: Any number is said to be rational if the number is of the form ab,b≠0. Any number which is not…

Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

Q: Given T→(π)=⟨0,−4/5,3/5⟩ , find an original v→(t) function that looks like a circular spiral or…

A: Given, Tπ=0,-45,35 The original spiral function is to be determined.

Q: Q1: Mention the required steps to get the following: a) Merge the first file (A) with the second…

A:

Q: 6. Given the final tableau (after deleting the columns of the artificial variables) for phase 1 of…

A:

Q: Consider the matrix If so, what is s? Is the elimination matrix L₁(A) well-defined for this matrix…

A:

Q: The number of cans of soft drinks sold in a machine each week is recorded below. Develop forecasts…

A:

Q: Given the below IVP 1+t y = 1 + 1 ≤ t ≤ 2, y(1) = 2, with h = 0.5 3 1+y' apply three steps of the…

A: Given IVP ist y'=1+t1+y,  1≤t≤2 we have t0=1, step size h=0.25 y0=y(t0)=y(1)=2 f(t,y)=1+t1+y,  1≤t≤2…

Q: farmer can buy two types of plant food, mix A and mix B. Each cubic yard of nix A contains 42 pounds…

A: Given data for the plant food that farmer can buy is tabulated below Minerals per cubic yard Mix…

Q: Test each of and 3 W₂ name K KT the following for convergence use. all tests you

A: Let us test the convergence of the series using Ratio Test in the next step.

Q: 29. Consider the function f: R²R: (x,y) → f(x, y) = g( Determine the gradient of f. 1 1 2x - 2y g(1…

A: please see the STEP 2 for Details

Q: 12.A block is dragged across a floor with a force of 200N that acts at an angle of 30 degrees to the…

A: We know that,    Work done is equal to dot product of force vector and displacement vector i.e.,…

Q: The mapping $ (y) = fy' : H→H* defined by is not a linear m

A:

Q: Suppose B and D are the following two bases for P2: B=|4x²-4x-2, ²-4x−2, 3x²-x, −3x−3] D= [-3x−3,…

A:

Q: (b) Prove by induction that for all n € N, 1 4n ´ (r − ¹) (r + ½) ¯¯ 2n +1° State clearly where you…

A: We need to prove: ∑r=1n1r-12r+12=4n2n+1 For n=1: ∑r=111r-12r+12=11-121+12=11232=43=4121+1 So, the…

Q: fixed a system of coordinates in the planes. Consider the having equation y = (x-2)². The line x=2…

A: The curve C is given by the equation                                    y=(x - 2)2  . . .  (1)…

Q: How To Solve It? Which Method? dy/dx-dx/dy= x/y- y/x

A: ∫(1/y) dy  =log y +c ∫ (1/x)dx = log x +c  ∫  ydy  =(y2)/2   +c  ∫ xdx   = (x2)/2   +c log(a)+log (b…

Q: 8 people fit comfortably in a 2 yards by 5 feet area. Use the value to estimate the size of a crowd…

A: It is given that the area occupied by eight people is 2 yards by 5 feet. We will convert 2 yards in…

Q: Use the cipher: f(x) = (x + 10) mod 26,0 ≤ x ≤5 to decrypt "SD SC XYD PKSB".

A: To Use: The cipher: f(x) = (x + 10) mod 26, 0≤x≤25 to decrypt "SD SC XYD PKSB".

Q: CLO 2: Apply different methods to solve the linear systems of the form Ax = b in physical problem…

A: Given: If the weather is good today, then the chance are: the weather will be good 60 % tomorrow,…

Q: TU 5.fo cos³ 30 de

A:

Q: Find a general solution of the given equation. Do not use the matrix exponential method. 1 2 [83] 0…

A:

Q: 6. Which of the following is a transformation that can be used to graph the function f(x) = -2(x −…

A: Here we use the properties of transformation of a function which are given in details below. The…

Q: a finite dimensional normed linear space X, any subset M is compact if and only if M is closed and…

A:

Q: (ii) Using (i) evaluate in terms of x. (i) Use a suitable u to prove that S cos √x = 2 = 2 fue S u…

A: (i) To Use: A suitable u to prove that∫ cosx=2∫u cos u du.   (ii) To Evaluate: ∫cosx dx using (i) in…

Q: . If you were to graph two quadratic functions on the same xy-plane, how many intersection points…

A: Given: Two quadratic equation. The given demand function is fx=0.02x-1002 and the given supply…

Q: Apply Optimal Runge-Kutta methed and y for the 3 obtain y, 1₂ and y² = t + 2y year=1 for the problem…

A:

Q: Find the flux of F across S, F. Nds where N is the upward unit normal vector to S. F(x, y, z) = xi +…

A:

Q: Verify the Divergence Theorem by evaluating [/F. F. N ds as a surface integral and as a triple…

A:

Q: Consider the following quadratic form on R²: Q(x) = ²x₂²¹ +27x₂² +48x2x2 43 2 57 -x1 25 25 25 a)…

A:

Q: 22. A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface…

A: Given- A surface has an equation of z2 + 2x2 + 3y2 = 4. To find- Through Stoke's Theorem, evaluate…

Q: Question 24 a

A: Given information Length of wire  = 360 cm Also, given that the length of rectangular box is twice…

Q: Consider the matrix mapping A:Rº→R³ where 1 0 4 0 0 2 1 3 1 2 4 0 0 A = 200 2 0 Sub-Task (1). Find a…

A: Given : A=210400022131000240 To Find :(1) basis, dimension of kerA               :(2) basis…

Q: a). We can use the equation of a curve in polar coordinates to compute some areas bounded by such…

A: (a) Given that the equation of a curve in polar coordinates to compute some areas bounded by…

Q: Evaluate the triple integral (x + 8y) dV where E is bounded by the parabolic cylinder y = 4x² and…

A:

Q: Find Ž k=0 the convergence Tenkkune) k(k+1) Set for Cach

A: