Classify and solve the following PDE's by separation of variable method.

Q: Find two positive integers whose sum is 16 and the sum of whose squares is minimum

A: Given sum of two numbers are 16. Let first number be x and second number=16-x. Now, sum of squares…

Q: 【D³ + 3D² + 3D + 2)y = 0

A: Solution:

Q: The sum of one positive number and the square of another is equal to 9. Determine the numbers so…

A:

Q: The total costs for a company are given by C(x) = 3000 + 20x + x^2  And the total revenues are…

A: The breakeven point is obtained when the total cost is equal to the total revenue.

Q: A farmer wants to enclose a rectangle shaped field the size of 6000 ft^2 on his farm adjacent to a…

A: Let x represents the width of the field and y represents the length of the field. Given that, the…

Q: The quantity demanded x ( in units of a hundred) of the Mikado mini cam co per week is related to…

A: Given - The quantity demanded x ( in units of a hundred) of the Mikado mini cam co per week is…

Q: Let f (x) = 5* – 7x - , for what value of root that the relative error would be equal or less than…

A: Given that f(x)=5x-7x2 The newton method formula is, xn+1=xn-f(xn)f'(xn) Take the derivative for f,…

Q: What is the smallest possible value of the sum of their squares if the sum of two positive numbers…

A: see below the explanation and answer

Q: PLS do fast within 5 minutes and i will give like for sure Solution must be in typed form The…

A: How can both x-intercept s be determined if the equation y=-(x+6)(x-3) is given?

Q: If the equation Gx=y has more than one solution for some y in R^n, can the columns of G span R^n?…

A: Please see the answer below.Explanation:

Q: Please don't provide handwritten solution.... If f(x)=2x^3+Ax^2+Bx-5 and if f(2)=3 and f(-2)=-37,…

A:

Q: Do PivotTables have any drawbacks? How can these drawbacks they be solved?

A: Drawbacks for Pivot Tables It can be a time-consuming venture.In general, pivot tables can create…

Q: Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and…

A: To determine maxima and minima of the function with respect to some constraints then follow as Find…

Q: Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and…

A: Using lagrange multiplier method we can easily obtained maximum or minimum value of a function for…

Q: Vx +4 dx х Vx-4

A: Consider the integral ∫x+4x−4dx Therefore, ∫x+4x−4dx=∫xx−4dx+∫4x−4dx...…..(1) Let I1=∫xx−4dx and…

Q: rectangular pen with 1,500 feet of fencing. One side of the pen will not need fencing because there…

A:

Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use…

A:

Q: A rancher plans to make four identical and adjacent rectanglar pens against the barn each with an…

A: Let the length and width of the rectangular pen against barn be x and y. Consider the four identical…

Q: A business includes a monthly promotion funding of $154000. The commerce division calculates that if…

A: Given,z =f(x, y)= 340x0.9y0.9  subjected to x+y = 154000 let, g(x, y) = x+y-154000=0

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.