Alcuin of York, 775. A hundred bushels of grain are distributed among 100 persons in such a way that each man receives 3 bushels, each woman 2 bushels, and each child half a bushel. How many men, women, and children are there?

Q: Determine whether the set of ordered pairs is a function. {(3, 1), (3, 2), (3, 3), (3, 7)} O…

A:

Q: 3. (a) Use the Laplace transform to solve the initial value problem y"+y = 2e', y(0) = 3, (0) = 3…

A:

Q: Directions: Construct the truth table for each of the following propositions. 1. "pA ~ q ARIN CA 2.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: En-3 and a4 = 22, a5 = 126, and a, = 596. Find a1 , a2, and az

A: Given, an=5an-1-3an-2+4an-3 To find the value of a1,a2 and a3.

Q: what is the maximum size of independent set ? And give examples

A:

Q: R.5. Give a counterexample to show that the following statement is false: If f :X→Y and A, B are…

A:

Q: In 6 years Harry and Sally would like to have $24,000.00 for a dow use. How much should they deposit…

A: In this question, the monthly payment is to be calculated using the formula. M1-1+i-ni=A

Q: Let f(x,y) = x° + y?. Find the slope of the line tangent to this surface at the point (-1, – 1) and…

A:

Q: You want to buy a new car. You can afford payments of $500 per month and can borrow the money at an…

A: From the given data,A=$500 per month.Interest rate of 5.7% compounded monthly for 5 years.

Q: Let T: P2 that is, 7. > P2 be the linear operator T(p(x)) = p(2x+ 1), T(co+ C,x+ C,x²) = c, + c,(2x…

A:

Q: If z<x<0<y and |x-yl- Iz-yl - |x - z| = 4, then x- z equals 02 01 O-4 -2

A:

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

A:

Q: = 3e2x and y,, = x² + 3x are respectively solutions of у" - бу' + 5у -9е2х y" – 6y' + 5y = 5x² + 3x…

A: General solution y(g)= y(h)+y(p)

Q: (a) How many bit strings of length 10 either begin with 2 Os or end with 2 1s? (inclusive or)

A:

Q: Factor -21 + 27i into Gaussian Primes.

A:

Q: Q1) Evaluate the integral dy dx using polar coordinate

A: Introduction: Multiple integral can e converted from one coordinate system to another coordinate…

Q: Question 4 Find the degree of the polynomial p(x, y) = (x + xy)2(1+y°) – x²y° and input your answer…

A:

Q: What is the 109th term of the arithmetic sequence (963, 936, 909, 882, ..)?

A:

Q: Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. %3D (a) Find all point(s) of…

A: If f is continuous and non negative on the interval α≤θ≤β with 0&lt;β−α≤2π. Then area of the region…

Q: Use an appropriate test to determine whether the series given below converges or diverges. (In n) Σ…

A:

Q: Let T: R2 R2 be a linear trasformation such that T (x1, 22) T (x) = (3, 1). (x1 +x2, 2x1 + 3x2).…

A:

Q: Question 11 Nancy read one third of a book, then she read one fourth of the remainder. If there are…

A: Let number of pages of the book be n.  Then first Nancy read one-third of the book, i.e, n/3 pages.…

Q: Let C be the parametric curve defined by Sx(t) = t2 – t – 2, |v(t) = t* – º +t. Determine if C is…

A: Substitute x=-2 in the given equation xt=t2-t-2 and simplify to calculate the value of t.…

Q: What is the vector where it is orthogonal to the eigenvectors

A:

Q: Solve the Higher order differential Equations. (Choose one only) d*y d?y 4 + 4y = 0 dx2 1- dx4 d*y…

A:

Q: 00 3+n converge absolutely, converge conditionally, or diverge? n- Does the series E (- 1)"- n= 1…

A:

Q: 7. Let V = R3 with B = {(1, 0, 1),(0, 2, 1),(2, 1, O)} and W = P2 with D = {1, x, x- %3D %3D (a)…

A:

Q: Exercise 6.1.4 Consider (6.1) and (6.2) in the case that ka = 4, kg = 1, ke = 3, and g(t) = 0. The…

A: Given: The system of differential equations, u˙Pt=-4uPt+4uTt u˙Tt=uPt-4uTt The initial conditions:…

Q: 800 N, P: 500 N.

A:

Q: solve the differential equation system:

A: Introduction: The Laplace transform is widely used to solve higher-order initial value problems.…

Q: MC; MC, = S Price Quantity Figure 9 Demand curve and marginal private and social cost curves Towards…

A: Given that the curve MCp+t External costs is defined as the impact of a thing or service on a third…

Q: Faith is decorating the outside of a box in the shape of a right rectangular prism. The figure below…

A: The surface area of a solid object is a measure of the total area that the surface of the object…

Q: What would be the least amount of money needed to purchase exactly 19 muffins?…

A:

Q: Ex:- Let G2 be graph Is G a connecto/graph ? a Gz |

A:

Q: Using LaGrange Multipliers, solve the following problem. It is desired to build a rectangular box…

A:

Q: Let V be the vector space of functions from R into R. Show that f,g,h EV are independent where: f(x)…

A:

Q: Find the inverse Laplace transform of 2s s+1 F(s) = e g2 – 2s + 2 -

A:

Q: pute the Fourier sine series expansion of f(x) = 3x – x² on [0, 3]. nat value does this series…

A: Sol

Q: Question 24 If the line passing though the points A(-1, 2) and B(1, 3) is perpendicular to the line…

A:

Q: 32. Determine whether the given relation is reflexive, symmetric, transitive, or none of these. D is…

A:

Q: an = 2an-1 + 8a,-2 + 81n for n > 2 with initial conditions ao = :-23, aj = -59. An =

A:

Q: Find the area of the region enclosed by y 3.5x and I 8 - y. 2 7 Use horizontal strips to find the…

A:

Q: Let where A and B are some constants. given that ü = , V = ü + 10v = find the value of the product…

A:

Q: Question 10 of 25 Write the standard form of an equation of an ellipse subject to the given…

A: Introduction: An ellipse is a conic section. When a plane parallel to the cone cuts a right circular…

Q: State the order of the given ordinary differential equation. (1 - x)y" – 9xy' + 5y = cos x Determine…

A:

Q: Write the standard form of the equation of the hyperbola subject to the given conditions. 15…

A:

Q: L3x3 + M (subspace sum). sym 3×3 !! L3x3 O M (direct sum). sym 3×3 !! express A E M3x3 as A = L+U…

A:

Q: Use Induction to prove that 22n+1 + 32n+1 is divisible by 5 for all n > 0.

A:

Q: Find an open cover of the interval (−∞, 3]. Justify why that open cover has no finite subcover.

A:

Q: 5) Let Xbe an arbitrary space and let J, and I be two topologies on 1 2 it. (i) Is T, U T always a…

A: