A linear programming problem shows an objective function of: P = 250x + 75y Subject to constraints: 5x + y ≤ 100 x + y ≤ 60 .. (1) . (2) *** The maximum profit for this combination is P6,250. Required: Compute the shadow price of constraint (2).

Q: Problem IV Consider the Ellipsoïd E:= {(x, y, z) € R³ | + + ² = 1}. Question 1 Let M (ro. 30,0) be a…

A: Given- Consider the Ellipsoid E := x, y, z ∈ ℝ3 | x24 + y29 + z2 = 1 To find- Let Mx0, y0, 0 be a…

Q: what is the 22nd term  in the fibonacci sequence with the calculation

A: The nth term of fibonacci sequence is Fn=1+5n-1-5n2n5

Q: Question 2 ( (a)(s) Compute the gradient of f. s) Consider the function f(x,y) (b) (F I T-Y e)…

A: Since we have to solve given problems:

Q: Let A = {5, 6, 7, 8, 9}, B = {7, 8, 9, 10, 11}, and C = {6, 9, 11}. a. Find An B. b. Find AU B. c.…

A: Given: A={5,6,7,8,9} B={7,8,9,10,11} C={6,9,11}

Q: What is the minimum number of terms needed 10 S 1.20⁰ -dx accurate to nine decimal places? to…

A:

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A:

Q: 1) Given the following data, find y'(6) 0 2 4 26 X y 3 58 4 112 7 466 9 922

A: Consider the given table, x 0 2 3 4 7 9 y 4 26 58 112 466 922 Here we need to require find…

Q: Find the Laplace Transform of f(t) = d³ dt ³ cos 2t

A: I have given the answer in the next step. Hope you understand that

Q: 6. Find the volume of solid generated by revolving bout the y² = 4x, x = 0, y = 4 about y = 4.

A: Given curves are, which generate the solid y2=4x, x=0, y=4   Graph is Since y2=4x⇒y=4x

Q: (x + y - 4)dx - (3x - y - 4)dy = 0; when x = 4, y = 1

A:

Q: 1. Suppose that D is a region with area A, on the xy plane and that f (x, y) is a continuous…

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

Q: Given the operator S on the vector space R₁ [x] given by S (a+bx) = -a+b+ (at 2b) x A) What is SC1)…

A: We know that Pn is the vector space of all the polynomials of degree n+1 and the basis for this…

Q: 4. Asha, Brenda, and Cora play a certain game. The player who loses each round must give each of the…

A: Step 1: Asha=xBrenda=yCora=z

Q: Solve the equation. Give your answer correct to 3 decimal places. 75 1 +5e X = 65 = -0.7x

A: Solution:-

Q: Give a combinatorial proof of the identity: -1 k(²) = n(n=¹) k-1.

A: Use the following combinatorial formulae, to obtain the result. nr=n!r!n-r!n!=nn-1!

Q: A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and…

A:

Q: A= 12- 273 2 L1 -1 1 -1 3-4.

A: Power and combination of matrices

Q: 9. x': 1 1 2 022 -1 1 3 x, x(0) =

A:

Q: Problem #1: A rank two tensor L is given as: 7 10 3 L=L=4 -1 -2 945 (a) Calculate the symmetric (S)…

A: We are given that L=71034-1-2945 (a) We have to calculate symmetric S and skew-symmetric W parts.…

Q: The data below show the number of car thefts in a city for a period of 20 days. Complete parts (a)…

A:

Q: Part A is in the provided image, the two choices for the first "Select Choice" box are 12.5π or 25π.…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Convert the following English sentences into WFF in First Order Predicate Language. All frogs are…

A: (i) The given sentence is " All frogs are green ". To convert: the given sentence in First Order…

Q: 5. Supposen converges. Prove that %n converges. n=1 6. Calculate the Taylor series of f(z) 7. Write…

A:

Q: Let Let V be a finite dimensional vector space and W CV a subspace. Recall the relation ~w we…

A:

Q: Sketch a graph of a function f, defined on (-∞, ∞), with the following properties. lim f(x) = f(-2)…

A: Given function f(x) is defined on -∞, ∞ ∙  limx→-2+ fx =f-2 =-4 It means right hand limit is equal…

Q: The domain of the function g(x, y) = Select one: y-x x² +1 Dg = {(x, y)/(x, y) is above the first…

A: here we need to check where function become undefined and then solve for those conditions.

Q: Given PIA and B) = 0.94, P(A) = 0.98, and P(B) = 0.96 are events A and B independent or dependent?…

A: Concept: If two events A and B are independent then P(A and B) = P(A).P(B) otherwise events are…

Q: Find the first four nonzero terms in a power series expansion about x = 0 for a general solution to…

A:

Q: Solve the initial value problem using Laplace Transform Method y' +9y = 0 y(0) = 2 y(t): = Option 1…

A: We need to solve the given initial value problem using the Laplace transformation

Q: Exercise: 5 a) Find the outward flux of the vector field F(x, y, z) = x³i + y³j + (z³ + xz)k across…

A: Given the vector field  Fx,y,z=x3i+y3j+z3+xzk and z=a2-x2-y2

Q: Find the first three nonzero terms of the Taylor expansion for the given function and given value of…

A:

Q: Find the condition for the two lines to be coplanar. a1 + bjx + C7x + d, =0 = az + b2x + C2x + d2 az…

A: The given lines are    a1 +b1x+c1x+d1=0a2+b2x+c2x+d2=0a3+b3x+c3x+d3=0a4+b4x+c4x+d4=0  To examine…

Q: 1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: P(X=1) = adding first row = .10+.05+.02 =.17 P(X=2)= adding second row =. 10+.35+.05 =.50 P(X=3) =…

Q: Ricardo wants to cover this 5" by 10" by 8" box with wrapping paper. What is the minimum number of…

A: Solution a: Surface area is s=2lb+2bh+2lh       (1) we have l=5'', b=10'', h=8'' From (1)…

Q: Let an 6n 2n + 1 (a) Determine whether {a} is convergent. O convergent divergent = (b) Determine…

A:

Q: Your wardrobe consists of 2 shirts, 6 pairs of pants, and 14 bow ties. How many different outfits…

A: Solution :  Given that  The number of shirts = 2 The number of pair of pants = 6  The number of bow…

Q: Which of the following is a 4th root of -1.25-12.3? 0.9931 +j 0.8113 O 1.4454-j 0.4312 -0.5569-j…

A: The given problem is to find the fourth root of the given complex expression. Given complex…

Q: Create a truth table for the statement: r⇒ (p^q)

A: Answer :- Truth Table can be formulated as given below:-

Q: A small country consists of four states. The population of State A is 67,200, the population of…

A:

Q: II. Determine the interval of convergence for the given power series: 1.x+x+x+ ax 81 2 2. (x+2)³+…

A: 1. Given power series is 23x + 29x3 + 227x5 + 281x7 + ...... = ∑n=1∞23nx2n-1 Here an = 23nx2n-1 As…

Q: For the following data (a)-(b), plot the data, choose an appropriate form for least squ function…

A:

Q: Determine if the following is a valid deduction rule: P→ Q -Q TF First, make a truth table for the…

A: Introduction: An argument consists of two parts. One part is the premises and the other part is the…

Q: Compute the Laplace transform of integrate t to 0 te ^2t sin 2t dt

A: Given  : f(t) = t e2t sin2t To Find : laplace transformation Lt e2t sin2t

Q: 3) For the following sequences give a closed formula: a. 0, 1, 3,6, 10, 15, 21, ... b. 0, 1, 4, 9,…

A: Solution :-

Q: v) Prove that u = x³ - 3xy² is a harmonic function. Find its conjugate harmonic and corresponding…

A: Prove that u = x^3-3xy^2 is a harmonic function. Find its conjugate harmonic and corresponding…

Q: Find a general solution to the differential equation. y"-6y' +9y=t4 e 3t The general solution is…

A: We have to find the general solution to the differential equation y''-6y'+9y=t-4e3t .

Q: The figure shows that 10" by 15" rectangular bricks can tile a 60" by 60" square. (a) Is there a…

A:

Q: Q3 – A// If P(1,2,-1),Q(2,-1,1), R(-1,-1,2) are three point in space. 1- Find the vector…

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

Q: Year First Second Third Interest Melissa earns (Interest compounded annually) $ $ $ Interest Greg…

A:

Q: Q4 Solve step Functions in Laplace transform t < 6 x ≥ 0 f(t)= = { = 8+ (-8+ (t-6)²

A: The given problem is to find the Laplace transform of the given unit step function.