The nutritionist of CMU Hospital serves lunch consisting of two courses, A and B. Assume each unit of A has 6 grams of fat, 6 grams of carbohydrates and 18 grams of protein whereas each unit of B has 8 grams of fat, 4 grams of carbohydrates and 24 grams of protein. If the nutritionist wants to provide the patients no more than 40 grams of fat, no more than 28 grams of carbohydrates, how many units of A and B should be served to maximize the amount of protein? Required: 1) Formulate the linear programming model

Q: 2. Let S₁ be the hemisphere with Cartesian equation z = 6 - √36x² - y² and S₂ be the upper nappe of…

A:

Q: Suppose the pentagon below represents the base of a pentagon prism that has a height of 8 inches.…

A: We need to find area of pentagon and then multiply it by height to get volume of solid .

Q: COMPLEX ANALYSIS Please answer all questions Let g(x, y) = y (a) Show that g is harmonic in D = {(x,…

A:

Q: Consider the system of equations: (a +1)x+ (2c-4)z = 2 -2by +z = 0 (-a - 1)x+ (1 - c)z = 1 Determine…

A:

Q: 21 (s+ √2) L-¹ {-

A:

Q: Solve for the solution: (D2 - 3D + 2)y= 2e-x + 8

A:

Q: COMPLEX ANALYSIS Please answer all questions Calculate lim using properties of limits. 5iz-3 2z+6i1…

A: We have to calculate limz→∞5iz-32z+6i

Q: Solve (3x²y³+4xy)dx+(3x³y²+2x²)dy=0

A: Let us considre the differential equation Mdx+Ndy=0 The equation is exact ∂M∂y=∂N∂x The solution of…

Q: 1. Iff: [0, 1] R is defined as f(x) = x if x is rational, 1-x if x is irrational, discuss the…

A: Given :  f: [0, 1] →ℝ  is defined as     f(x) = x,if x is rational1-x,if x is irrational To find :…

Q: 1. Three blocks are connected by a weightless cord and rest on an inclined plane. Using Newton's…

A:

Q: 11. Toni has 24 coins (Quarters x, dimes y, nickels z) in her wallet. They are worth $3.80. a)…

A:

Q: If the distribution of the population is bimodal, then the sampling distribution for the sample…

A: Solution :-

Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

A:

Q: Use the graph on the right to answer the following questions. a Estimate the pressure at altitudes…

A: The data points from the graph is0,30,5000,27,10000,21,20000,16,30000,10WE have to use the linear…

Q: A company operates two plants which manufacture the same item and whose total cost functions are C₁…

A: A cost function is a critical parameter that defines how well a machine learning model performs on a…

Q: 10. 1 -1 f(t) 3 1

A: Laplace transform of the function

Q: 3. Let p and q be the statements Express each of these a.) p q b.) ~pv (p^q) p: I bought a lottery…

A:

Q: Megan has been planting young trees in her garden. One maple tree is 66 centimeters tall and is…

A: Solution

Q: Refer to the following vectors below. A = 3i6j+2k B = −8ż −4j – 10k C=2i 3j9k D = -9i3j - 7k 1.…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: 7x + 5y3z = 16 3x - 5y + 2z = -8 5x + 3y7z = 0

A:

Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 5/2 8.…

A:

Q: HOW TO DERIVE du Ət

A: To derive the given value

Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 1.…

A:

Q: The collection {On}3, where On = (1/n, 1-1/n), is an open cover of the set A = [1/2,1). Find (a)…

A: We have to find a limn→+∞1-1n, b∪n=3+∞On, and c∩n=3+∞On

Q: 4. For the linear canonical system x' = Jx, x € R², determine the nature of the origin as a fixed…

A: Given canonical system x'= Jx  Case-1:-  det >0 if both Eigen value positive:- The product of the…

Q: Verify the formula I.F. F.nds= II. div F dv in the Divergence Theorem by evaluating the surface…

A:

Q: 1 defined on R {0}. Find the points of relative extrema of f and the and those on which f is…

A:

Q: Let A = {2 € 0 m ² + 2 > 1}. (a) Sketch the set A in the complex plane. (b) Is z = -2i a boundary…

A:

Q: Find the power series representation for sin 2²

A: We have to find the power series representation of  sin z2.

Q: Gauss sediel method and jacobi method is the same?

A: We have to see how gauss Jacobi is different with gauss sediel method .

Q: L {sin(wt + O)}; w and O are constants

A:

Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

A: Q6 asked and answered.

Q: Find the Maclaurin series of and give the radius of convergence. 1 1 Using your answer, evaluate L…

A: The given function is z1-z To find : (a) Maclaurin series of given function and radius of converges.…

Q: The laplace transform of f(t) = t^3 (sinh 2t − cos 2t)

A:

Q: Step by step solution We are going to fence in a rectangular field. If we look at the field from…

A: given that we have to spend $1,000 and so the cost of the material will be the constraint for the…

Q: Show that the operators Ix=x 0x = 0 Tx (t)=n't & are Linear. 6

A:

Q: 1.4. Let U be an open set in R³, and let S be a smooth oriented surface in U with orienting normal…

A:

Q: Let a and b two positive integers. Then we have that axb LCM(a,b) = GCD(a,b). O True O False

A:

Q: Determine the validity of an argument: A polygon is regular or a polygon has a side which is longer…

A:

Q: Let f(2)= Let f(2)=. Use the polar form of the Cauchy-Riemann equations to determine where f is…

A:

Q: You have a credit card that has a balance of $3,589.90 and a credit limit of $5,000. If you have a…

A: Credit card balance = $ 3589.90 Credit limit = $ 5000

Q: 5. For each linear system given, classify the critical (equilibrium) point (0,0) and use this…

A: We will find out the eigenvalues of the Jacobian matrix at the equilibrium point (0,0) to classify…

Q: Type only your answers. 6. A class is composed of 32 boys and 12 girls. What is the percentage of…

A:

Q: Solve the differential equation: d³y_d²y_dy + y = 0 dx3 dx² dx

A: Let us considre the differential equation L[D]=0 To solve the given differential equation  The…

Q: RES. Find the area of each irregular figures. Write your answer INSIDE THE AG 6 cm 4 cm 6 cm ft 8 cm…

A:

Q: A cylindrical can, open at the top, is to hold 700 cm³ of liquid. Find the height, h, and the…

A:

Q: Consider the region Rxy in the plane XY. 31 Ray y=x+3 y=z-l u = xy y v=x-y Consider the variable…

A: Given that u=xy .....(1)  and v=x-y.....(2). To find: I=∬Rxyx2-y2·ex2y-xy2 dAxy in uv plane.

Q: Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 5i and corresponding eigenvector -1+ =…

A: The solution is given as

Q: 7.4. A Criterion for Integrability. THEOREM 7.11. Let ƒ : [a, b] → R be bounded. Then f is…

A:

Q: Let p and q be points in R³, then p-q ≤||p||||||- = Hint: (a1, a2, a3) - (b₁,b2, b3) = a₁b₁ + a2b₂+…

A: Let p=p1,p2,p3 and q=q1,q2,q3 Angle between p and q is θ Dot product of p and q…