8. The total daily revenue ($) that Weston Publishing realizes in publishing and selling its dictionaries is given by R(x, y)=-0.005x² – 0.003y² – 0.002.xy + 20x+15y Where x is the number of deluxe copies and y is the number of standard copies. The total daily cost of publishing these dictionaries is given C(x,y)= 6x+2y+200 Determine how many deluxe copies and how many standard copies each day to maximize its profit.

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

A:

Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

A:

Q: y′′+10y′+25y=xe^5x , y(0)==-1, y′(0)=1 method of undetermined coefficients

A:

Q: Find the general solution of 6y''+y"- 15y'=0, 3x 5x A y=c,x+cze 2 +Cze 3x 5x B y=c,+c,e ? +c.« ¯ 2…

A:

Q: 8. What is the particular solution of 2xyy' =1+ y², when x = 2, y = 3 ? C. y =V5x +2 d. y =3x – 4 a.…

A: Given differential equation 2xyy'=1+y2, when x=2,y=3. The objective is to find the particular…

Q: 9. Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y"…

A:

Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: 1. Find the general solution of (2x + 3)y' = y + (2x + 3)ž a. y = v2x + 3[C + In(2x + 3)] b.y = (2x…

A:

Q: Solve by Graphical Method Max z=2x+4y Subjected to 3x+4y0

A:

Q: ) Obtain the general solution of y" + 2y + y = e² In r

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

Q: The solution of y2 – x²y' = 0 with IVP (1)= . is given by y(x) = 1+x 1 y(x) = 1+x 1 y(x) = 1+ x2 (x)…

A: Given initial value problem y2-x2y'=0    ; y(1)=12

Q: Q. No. 11 The solution of the DE 3ry" + y – y = 0 (a) yı = x³[1 – x + a² + ...], 42 =1+x – 2x² + ...…

A: It is given that

Q: X1, X2 2 0 12. Minimise Z = 60x1 + 80x2 bo Subject to 20x +30x2 2 900 40x1 +30x2 2 1,200 X1, X220 LO…

A:

Q: Multivariable optimization question

A:

Q: Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com.…

A:

Q: 19. 2x + 2y + 4z = 0 w - y - 3z = 0 2w + 3x + y + z = 0 -2w + x + 3y - 2z = 0

A: According to Bartleby guidelines we can only solve one question at a time. Kindly put other…

Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

A:

Q: A company produces two types of products A and B. The total daily cost (in pesos) of producing x…

A: Solve this by maximizing the function in two variable Partially differentiating the function with…

Q: 6. S Se(x² + y³)drdy, wherein B = {(x, y) E R²; 1< x² + y² < 4}

A:

Q: Q 6/Find the optimal solution for the following (LP) model by using Algebraic and graphic method…

A: Solution Using Simplex Method -

Q: Let y(x) be the solution of the IVP xy'-2y =x3, y (1)=2. Evaluate y(16).

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

A:

Q: Show that y %3D Cіx-1 + С2х + Cзlnx + 4x2 is a solution to x3y" + 2х?у" — ху' + у %3D 12х?.

A:

Q: 4. Find the number of non negative solutions to x + y + z = 21. With the conditions that x > 3, y >…

A:

Q: An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in…

A: An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in…

Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 3. Verify that 3e-2x +4e* is a solution of y"- 3y' + 2y = 0.

A: We have to verify that 3e-2x+4ex is a solution of y'''-3y'+2y=0

Q: Suppose that x-y" + axy' + by = 0 has the general solution of the following form: y = C,x³ + C2x³ In…

A:

Q: Find the optimal solution. MAX Z=6X+7Y st 4X+5Y≤20 10X+7Y≤35 3X+4Y≥6 X ≥0 , Y ≥0 and an…

A:

Q: 4. Find for the particular solution of y' = x3 – 2xy when x = 1, y = 2 x2 а у 2e + 2 - ex2 b. y =+…

A: The given differential equation is:y'=x3-2xywhich can be written asdydx+2xy=x3which is a first order…

Q: 8. What is the particular solution of 2xyy' =1+y², when x = 2, y = 3 ? а. у%3D5x -1 C. y =V5x + 2 b.…

A:

Q: D. 8y = 4x3 - 6x² + 3x + 8e¬*² В. 4у %3D 2х2 — х +3+е-*? Find the particular solution for y' = x3 –…

A:

Q: The manufacture of 1 unit of a product has CK Y, )- 1D+ 7y z where x is the cost of 1 pound of one…

A:

Q: 8. Find the general solution: x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0 a. xv² In v + x3 – v3 = cxv²…

A:

Q: 1. Find the number of non negative solutions to x + y + z + w 16. With the conditions that x > 2, y…

A: The complete solutions are given below

Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: 1. A department store has found that its value of sales (2) depends on the mumber of advertisements…

A: Note:- $1=4.17 RM From Part (i), we have The problem is maximum z=420x-2x2-3xy-5y2+640y+1725subject…

Q: 20. What is the solution of (2x - y)dx + (4x + y – 6) dy = 0? a. (x+y- 3)° = c(2x + y – 4)² b.…

A:

Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

A:

Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1

A:

Q: Find the general solution to(D5 - 2D3 -2D² – 3D – 2)y=0 O y= e-X(C1 + C2x) + C3e2X + C4cosx + C5sinx…

A:

Q: Is y = 1/(x + C) a solution to y' = -y^2?

A: To solve the following differential equation.

Q: 4. Find the general solution of (x3 + y³) dx = 3xy² dy = Cx = Cx А. -Зx3 + 2yз В. 7x3 + 2у3 С. -бх3…

A:

Q: 5. The particular solution of y' + y = y¯² when x = 0,y = 2 is

A:

Q: c) give a particular solution for y" – 2y' + y = 3e* + 1+x

A:

Q: 1- If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8-3y) =x + c 3 a

A:

Q: /25-22-y2 zVx² + y? + z² dz dy dr

A:

Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.