a) Solve the following LP using Simplex Method. Max z = 1500x₁ + 2000x₂ + 2400x3 Subject to 3x₁ + x₂ + 3x3 ≤ 120 x₁ + 5x₂ + 2x3 ≤ 60 X1, X2, X3 20

Q: Solve step by step in digital format please Let T be a linear transformation T: P₂ (R) → P3 (R);…

A: given linear transformation T:P2ℝ→P3ℝ; T(f(x))=xf(x)+dfdx

Q: * limt (x-sinx)\ x+1 10 log x^2+3 O 0.5

A:

Q: (a) Given the set T = {0, 1, 2}, together with an operation +. Suppose that the identity is 0.…

A: This is a problem of Group Theory.

Q: Mr. Yara has 200 acres of land available to plant for three types of fruit trees (lemon, peach and…

A:

Q: -33 / Use Simpson's rule with eight intervals, to evaluate ³³√2x² + 2, correct to 3 decimal places?

A:

Q: Six students are trying to identify an unknown chemical compound by heating the substance and…

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

A:

Q: Given the f(x)=xln(x)+sin(x), find the area under the curve from x=2 to x=3 using:​ Riemann Sum.…

A: We can solve this using given information

Q: What amount should be deposited today at 4.56% compounded monthly in order to have $5,000 in 3 years

A:

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A:

Q: Find the limit. lim t-0 sin(6t) ; + e-tj + 4k i t

A:

Q: Use the given zero to find all the zeros of the function. (Enter your answers as a comma-separated…

A:

Q: analyze and sketch the curve y=x²(x-1)

A: Please see the attachment

Q: (a) Use the given information to write a system of linear equations for x, y, and z. (b) Convert…

A:

Q: Answer the following points i. Find the first three nonzero terms of Maclaurin series for the…

A:

Q: Given the basis C, the change of basis matrix P, and [x] B. Determine x: C-B 2 -1 2 1 2 1) Let C be…

A: We have to find [x] using Basis C and Change of basis matrix P.

Q: Q2:(a) In Euclidean metric space (R, 1. 1),if A = {y & R: y = []; x E R) then fined the following…

A:

Q: Perform the operation and write the result in standard form. (3+√√61)(3-√√61)

A:

Q: Find the slope of the function F(x) = √√x+1 at the oint (8,3) And find the equation of the tangent…

A:

Q: All polynomials are Riemann Integrable on any interval [a, b]. All bounded functions on [a, b] are…

A: This is a question from Reimann Integration and Darboux Integration.

Q: Q5) fest dt = a) 1 b) 0 c) = d) ∞ Q6) If you know that the radius of convergent of the series method…

A:

Q: Dim(Maxn) > Dim(R) 10 Dim(Pn-1) = Dim(R¹) (2) Dim(Mnxn) > Dim(Pn) (3)

A:

Q: The function f(x) = (4-x²) is difficult to s(three terms) to simplify the integration, then find the…

A: This is the problem of Taylor and Maclaurin series.

Q: 4. Σ( 11-13) π n=1

A: We have to determine whether the given series (4) is convergent or divergent. As in Question only…

Q: Question 9. (a) Prove that every element of Q/Z has finite order.

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: Write an equation for the function whose graph is described. The shape of f(x) = √x, but shifted…

A:

Q: (b) (a) -5 Q7) L(y") = a) s²L(y(x)) + sy(0) - y'(0) c) s²L(y(x))-sy(0) - y'(0) b) s² L(y(x)) + sy(0)…

A: We have to find the correct choice.

Q: Solve the following LP problem using graphical method. Max z = 3x₁ + 4x₂ Subject to 2x₁ + x₂ < 10 x₁…

A:

Q: 2y 7. Consider the lines : x+1 5 = 2z - 6 and m: x=-1+10t, y = 7t, z=2+t. 7 1. Determine if I and m…

A:

Q: 12. 13. 14. 15. 16. Find the gradient of the line joining the points A(5, -7) and B(- 3,01 Find the…

A:

Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

A: We have to find Radius of the can, Height of the can and Minimum cost.

Q: . Let C₁ be the unit circle, C₂ be the polar curve with polar equation r = 2 cos 30, and points A…

A:

Q: 3 s² + 1 6 s² + 1 Option 4 O * The Laplace transform of the x(t) is x (t) = 3 sint 3 s²+2 6 s² +2…

A:

Q: 7. The value of the term in the 10th row, 7th position of Pascal's Triangle is: a. 0 b. 120 C. 70 d.…

A:

Q: a) s² L(y(x)) + sy(0)-y'(0) c) s² L(y(x))-sy(0)-y'(0) Q12) The kernel of the Laplace transform Q13)…

A:

Q: Solve step by step in digital format please We have the following linear transformation T: P₂ (R) -…

A:

Q: 2 D²³²10DD²2² + 3D²D²-7 D² +7DD' AND non-homogeneous finear PDE with constan Coeficient

A:

Q: Q19) The general solution of 2x²y" + 3xy' - 15y = 0, is: a) y(x) = = ₁x² + ₂x³ b) y(x) = c₁x + ₂x-3…

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: Consider the function f(x) = x³ + 2x + 5. 1. Estimate the root to two significant digits using…

A:

Q: A) function is defined by (1-x if x ≥ 0 f(x)= √x² if x < 0 Evaluate f(0), f(1)and f(2) and sketch…

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

Q: Consider the lines : = 2z - 6 and m : x = −1+10t, y = 7t, z = 2+t. 5 7 1. Determine if & and m are…

A: This is a question of Vector Algebra.

Q: Question 5. - J (a) Express the permutation (2 4 5) (1 3 5 4) (1 2 5) as a single cycle or a s a…

A:

Q: t and capable of creatir econds and a is in ft/s2 = motion at 32 f/2. N

A: 2. The acceleration of the rocket is, anet=10t-32 Calculate the velocity of the rocket from the…

Q: Amy, who is 25, deposits $400 every 3 months into an account that earns 3.66 compounded quarterly.…

A:

Q: +2y" -y'-2y = 0, is: Q10) The general solution of y" a) y(x) = c₂e²x + ₂x + c₂e* c) y(x) = c₂e²x +…

A:

Q: Q15) Given that y₁ (t) = t¹ is solution for 2t2y" + ty' - 3y = 0,t> 0, then y₂ (t) is: a) t b) tz…

A:

Q: In the function, f(x) = (x −0)² - 11 (Select all that apply.) a = 1 a=0 a = 11 a=-11 h = 1 h = 0 h =…

A:

Q: Use trapezoidal five interval rule to find the area of the region shown below: 1.4m 1.3m 1.7m 1.2m…

A:

Q: Let O be the collection of intervals Ia = (a, ∞) where a R along with I = 0 and I-∞ = R. Does this…

A:

Q: Find the upper triangular matrix of 6 15 55 A = 15 60 225 55 225 979

A: Consider the given matrix, A=61555156022555225979 here we need to find upper triangular matrix of…