Minimum daily requirement The second type of food The first type of food 50 23 14 70 25 16 80 21 20 protein calories Price per unit 45 30 This person combines two types of food and applies the system with the highest possible profit in the following table with unit prices One of them is the formation of a linear programming model 1- Find the graph 2-Find the simplified method for this model

Q: D. 1. If (x + y)² = x² + y² 2. If y = sin³ () cos³ () dy - dx X prove that y' = sin² (x) cos(x) 8…

A:

Q: Prove the irrationality of n² by expressing the integral In - = 6.² P(x) sin x dx as a linear…

A:

Q: Solve for all the roots of x using Bairstow’s Method starting at r1 = 0.25 and s1 = 8.75 of the…

A: Solution:-

Q: Use Laplace transform to solve the partial differential equation: d²u du du(x,0) t> 0, 0<x<1, u(x,0)…

A: Solution

Q: 2. If f(x, y) = log (x² + y²), then ƒ +ƒ is equal to yy 1 (a) x² + y² (b) 0 2 y - x2 (c) (d) · (x² +…

A:

Q: Let U and V be vector spaces over the field F and let T be a linear transformation from U into V.…

A:

Q: D B C E F

A:

Q: ) Solve by using Laplace transform the partial differential equation ay-9 0² =0 dy(x,0) y(0,t)= 0,…

A:

Q: Let A, B be n x n matrices over C. A scalar product can be Problem defined as (A,B) := tr(AB*). The…

A:

Q: Use cylindrical coordinates to evaluate the following triple integrals toutube √²-² (x² + y²) dzdy…

A:

Q: -3 5 6 1 2 12 -2 -51x11 -7 X2 x2 9 X3. 4 -8 -10] -1

A: We can solve this using given information

Q: (b) for 3-3.x 10 dx

A:

Q: Q2/ Find ow/or if w = (x+y+z)³, x=r-s, y = cos(rs), z = sin(r + s) at the point (r, s) = (0,1)

A:

Q: 10. Prove that T/2 75/2. sin e cos (cos a cosec 0) de 10 T 2 (1-cos a).

A:

Q: 2. What is the slope of the line tangent to the curve 8x3-y²=4 at the point (1,-2)? CAL normal line…

A:

Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn →T in L(X, Y) and…

A:

Q: Q5) Using graphical method to solve the following matrix game B1 B2 B3 A1 1 3 12 A2 8 6 2

A: This method can only be used in games with no saddle point, and having a pay-off matrix of type n×2…

Q: Question 2 Find the equation of the lines with the given gradient (m) passing through the given…

A:

Q: If Z₁ = -10 + 5i and Z₂ = 16-8i, determine the following: 7₁% in rectangular form. COMPLETE THE…

A:

Q: Learning Task 3: Read each item carefully. St.ow all secessary Jutions in soly. ing 1. Find the…

A:

Q: Use (a modified) diagonalization to show that for cach sequence So, S1, S2, ... of subsets of N,…

A:

Q: 2. Ifƒ (x, y) = log (x² + y²), then f +f, is equal to yy 1 (a) x² + y² (b) 0 y²-x² (c) (d) • (x² +…

A:

Q: Solve d'y dx² cot x dy - sin² sin²x.y - dx = cos x - cos³ 3 OHS X.

A:

Q: Find a complete solution of the following equation: 4x y' y - = y |×

A:

Q: With reference to the following data, find the correlation coefficient and the regression equation…

A: Given: Data x 91 87 75 66 50 34 y 58 63 68 71 79 80 To find: Correlation coefficient and…

Q: Calculate - 2x²y dx + 2xy² dy, where C is the circle of radius 3 centered on the origin. use this…

A: Given that, Pdx+Qdy=-2x2dx+2xy2dy, Therefore, P=-2x2y, and Q=2xy2, Thus, need to use Green's Theorem…

Q: Suppose you are running a factory, producing some sort of widget that requires steel as a raw…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: 6. Let A, B, C be (3 × 3) matrices, such that det (A) = 2, det (B) = π, What is the value of det…

A: Solution:-

Q: 2. If f(x, y) = log (x² + y²), then f +f, is equal to XX yy 1 (a) (b) 0 + y 2 x² - y² y²-x² (d) 2…

A:

Q: y=0, 0*** (1 x= and show that it has no integrals that are regular mil A 14. Transform the equation…

A:

Q: Using the method of variation of parameters to find the solution for the following differential…

A:

Q: Use Laplace transform to solve the partial differential equation: d'y dy = -+xt where y(x,0) = 0,…

A: Solution

Q: Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

A:

Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution

Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 11. D B C B A A

A: Introduction: A graph is a set of points, called nodes or vertices, which are interconnected by a…

Q: Use Laplace transform to solve the partial differential equation: o'y dy = ox² dt +xt where y(x,0) =…

A: Solution

Q: If Sue eats 1/8 of a large cake, and Bill eats 2/4 of a small cake, who eats more cake?

A: Let large cake = 1 pound       Small cake = 1/2 pound Sue eats 1/8 of large cake. Bill eats 2/4 of a…

Q: Mother bought 5 kg of rice, 2 2/5 kg cooked for lunch and 1 1/4 kg cooked for dinner, how many…

A:

Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn → T in L(X,Y) and…

A: For X and Y normed linear spaces, let {Tn} be a sequence in L(X, Y) such that Tn → T in L(X,Y) and…

Q: Give an example of a non-planar graph that is not homeomorphic to K5or K3,3.

A: We can solve this using definition of planar graph.

Q: 28. Transportation A subway map is shown below. Is it possible for a rider to travel the length of…

A: Yes it is possible for rider to travel the length of every subway route without repeating any…

Q: Activity 4: Let's do this Logistic Growth dy Let y = f(t) be the size of a certain population at…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 3. Solve PDE BC ICS khu = Dzu u(1,0,1)= 0 [u(r,0,0) u,(r,0,0) = 0 0<r<1 0 <1 <∞ = 1-² 0≤r≤1

A: Given that,     utt=∇2u     =urr+1rur-1r2uθθ                     1 and the boundary  and initial…

Q: Let U be a universal set, and suppose A and B are subsets of U. (a) How are (x ∈A →x ∈B) and (x…

A: let U be a universal set and suppose A and B are subsets of U. (a) x∈A→x∈B and x∈Bc→x∈Ac are they…

Q: Use Laplace transform to solve the partial differential equation: d²u du = t> 0, 0<x<1, u(x,0) = sin…

A: Solution :-

Q: Q2. Consider the coupled first-order nonlinear differential equation du dt dv = t³(u + v) dt Where…

A: It is a numerical analysis problem and I used Picard's method to determine the approximate solution…

Q: Radius of curvature for the curve Ti y = 4 sin x-sin 2x at the point x = is 2 √5 (a) (b) 3√5 4 (c) -…

A:

Q: Find the total possible number of 5 letter words such that they are alphabetically first in the…

A:

Q: (b) Use Newton's method to construct a sequence of rational numbers con- verging to √2. Google…

A:

Q: 1 If A 1 2 32 O True false is a matrix then A¹ = [13].

A: