in different toys have to be distributed among n chi the number of ways in which these toys can be dis

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

A:

Q: 30 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will…

A: using formula

Q: 5. Given the system of equations x12x2 + x3 x4 = -2 -2x1 + 5x2x3 + 4x4 = 1 3x17x2 + 2x3 - 5x4 = 9…

A:

Q: x' = -4x - y + x(x² + y²), y = x - 4y + y(x² + y²)

A: The system x'=-4x-y+x(x^2+y^2)y'=x-4y+y(x^2+y^2) has a non-trivial periodic solution.

Q: Given a fixed nonnegative number CC, find nonnegative numbers x and y, with xy=C, such that the sum…

A:

Q: 7. A man invested $4000 at a certain rate of interest and $7200 at 2% less than the first rate. The…

A:

Q: [25 -14] 42-24 Find a matrix S, a diagonal matrix D and S-1 such that A = SDS-¹ Let A = S = D= S-1

A:

Q: 5. Prove that if A and B are similar, then rank(A) = rank(B). 6. Determine matrix A with eigenvalues…

A:

Q: 24 Find the length of a shortest path between a and zin the given weighted graph. b 5 d 5 f 3 > 2 7

A: We find shortest path between a and z in the given weighted graph.

Q: Use upper and lower sums to approximate the area of the region using the given number of…

A: The given function y=x on the interval 0, 1. we have to find the upper and lower sums for the…

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A:

Q: 1. Out of the 3000 families who live in an apartment complex in St. James, 600 paid no income tax…

A: Note: “Since you have posted multiple questions, we will provide the solution only to the first…

Q: Problem 12. Let U, W be subspaces of V. (a) Prove that UC W if and only if Wº CUº. (b) Prove that…

A: As per the question we are given two subspaces of V as U, W and we have to prove the following…

Q: Use the row reduction algorithm to find general solutions to the following system of linear…

A:

Q: and at most n coins from a collection f(2n + 1) distinct coins. If the total number of ways in which…

A:

Q: Prove that S = {e²kk € Z is a subgroup of G.

A:

Q: Given the three points A(9,9,7), B(-4,7,-6) and C(-3,-7,3) let L1 be the line through A and B and…

A: Please check the typing of answer in Maple Syntex

Q: The given contingency table lists the cross tabulation of the number of business partnerships by…

A:

Q: [ f(x, y, z) ds = 2) ds = f f f (x(u, v), y(u, v), z(u, v)) || R Ər ἂν dA

A:

Q: Diego is 165 cm tall. Andre is 1.7 m tall. Who is taller, Diego or Andre?

A:

Q: Find the matrix A' for T relative to the basis B'. Tea T: R² → R², T(x, y) = (x − y, y − 3x), B' =…

A:

Q: F(x, y) = P(0, 3), Q(8, 0) e-xi-xe- j

A: Given that F→x,y=e-yi^-xe-yj^ is a force field F in moving an object from P(0,3) and (8,0).

Q: Determine whether the set of vectors orthonormal, or neither. O orthogonal O neither {(√².₁. √²)( √6…

A:

Q: The function y = f(x) is given by the figure. 2 1 0 −1 -2 y 1 B(x) = = 2 y = f(x) 3 f(t) dt 4 +X…

A:

Q: Determine the present value P that must be invested to have the future value A at simple interest…

A: The given problem is to find the present value that must be invested to have future value A=$5000 at…

Q: 2 XZ 2 (3) - x^ xpzp^p 6x z² 0 Sº, S..*.S.

A: The Triple integration solved below.

Q: series centered at x=0 and then give the first 5 nonzero terms of the power series and the open…

A:

Q: 33 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will…

A: In the figure Tree which  is acyclic which means it should not contain a cycle.The diagram shows a…

Q: Complete the proof that lim (-2x − 4) = -10 by filling in the blanks. Use "e" for & and "d" for 8.…

A: We have to complete the proof that limx→3 (-2x-4) = -10  by filling in the blanks.

Q: uu, + x-y x + y uu, = x² + y² x + y

A:

Q: According to a recent survey, the probability that the driver in a fatal vehicle accident is female…

A:

Q: Use Green's Theorem to evaluate So F.ñ ds, where F (√x + 3y, 2x + 3y) and C is the boundary of the…

A:

Q: Compute the flux of the vector field (x², – xy³), out of the rectangle with vertices (0,0), (3,0),…

A: We have to compute the flux of the vector field  <x2,-xy5>out of the rectangle with vertices…

Q: The first derivative of a continuous function y = f(x) is y' = x(x −21)². Find y' and then use the…

A:

Q: Solve the difference equation 16yk+2 +8yk+1+Yk = 6 - 5k, Yo = 2, Y₁ = 3

A:

Q: Let an, A ∈R and suppose limn→∞ an = A =/ 0. a. Prove that there is an N so that if n ≥N then |an|>…

A:

Q: −8(y−3)=(x+2)^2

A:

Q: Problem 15. Let V be a vector space. The double dual of V, denoted by V", is defined to be the dual…

A: Kindly refer to Step 2 for the solution.

Q: Compute the "best fit" plane containing the following points: (4, 0, -2) (2, 1, -3) (-3, 1, 4)…

A: To find the best fit plane that for the points 4,0,-2,2,1,-3,-3,1,4,-2.9,0.9,4.1To find the normal…

Q: Math 215 Worksheet 13 2. In a certain city the temperature (in °F) t hours after 9am was modeled by…

A:

Q: Integral Representation for F₁ : 2 F₁ (a, b; c; x) = T dt T(b)(c-b) -1 (1-²-6-1 (1-x1) ª di Jo

A:

Q: For the following alternating series, ∞∑n=1an=1−1/10+1/100−1/1000+...

A: The series 1−1/10+1/100−1/1000+... To find the minimum number of terms  to go for your approximation…

Q: Solve for the z in the equation x+2y-z=3 2x-y+2z=7 3x+2y+3z=21* *

A:

Q: A recipe for Banana Pie calls for 5 cups of peeled, diced bananas. Bananas are purchased for $0.75…

A:

Q: (d) Determine if the series 6 Σ(+)" 4 n=2 =onverges. If it is, find its sum.

A:

Q: directrix is x=2 and has a focus at (4,9).

A: Here we apply distance of any point of parabola from directrix and focus is same. We took a general…

Q: The principal represents an amount of money deposited in a savings account subject to compound…

A: Given: Principal amount (P) = $8000; Rate percentage (r) = 8% semiannually; Compounded Time t = 2…

Q: Suppose C is the curve r(t) = (6t, 2t4), for 0 st≤ 2, and F = (8x,4y). Evaluate F.Tds using the…

A: Given that C is the curve rt=6t, 2t4, for 0≤t≤2, and F=8x, 4y. We have to evaluate the integral…

Q: Calculate the circulation, fo F. dr, in two ways, directly and using Stokes' Theorem. The vector…

A:

Q: 123 The matrix A = 2 5 3 is the coefficient matrix for the system of equations given in question #2…

A: