3. Use mesh size of h = 0.25 (n = 4) to solve the boundary value problem below using finite difference method. -u" + u = sinx, 0 < x < 1, u(0) = 0, u(1) = 0

Q: 6. f(x, y) = (x - 1)² + (x −y)¹. − Ans.: global minimum 0 at (1,1).

A: Given function is f(x, y) = (x-1)4 + (x-y)4

Q: Find the absolute maximum and minimum values of the function on the given set R. f(x,y)=(x-2)*+y';…

A:

Q: arctan dA Xx Calculate where R={(x, y) / x² + y² ≤ 4, x² + y² ≥1, y ≤x≤ 0}

A:

Q: 11) Find each of the two areas bounded by the curves y=x3-4x and y=x² + 2x Points of intersection:…

A:

Q: Suppose that f(x, y) = ez²_4y²+z_y

A:

Q: The value of the line integral fydx + xydy over the straight-line path C from (0, 0) to (1, 2)…

A:

Q: 7. Integrate. So So (x-1)² x² + y2 dydx

A:

Q: 1) fix) = (x-2).x+1 find the maximum,minimum and inflection paints of the finction. %3D

A: An inflection point is a point at which the second derivative is equal to zero or is undefined and…

Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

A:

Q: Compute ,f for f(2) +6 + 6i, positively oriented. sin(32) and path 2 that is the boundary of the…

A: Let's see the method of integration. We use residue method to solve this integral.

Q: A rectangular plate with an area of 36 cm? is to be produced on a lathe in such a way that the…

A:

Q: Given the boundary value problem

A: Given, the boundary value problem            x2y''-xy'+y=lnx                         ...(1) with the…

Q: Find the maximum and minimum possible areas bounded by the curve y(x) in the interval 0 ≤ x ≤ 1,…

A: We have to find the minimum  and maximum possible area bounded by the curve  in the interval ,…

Q: an isosceles triangle has a baseline between (0,0) and (x,0), while the third corner is placed in y=…

A: Let's find.

Q: The equation of a circle can be represented as in-h)² + (y – k)² = r², where (h. k)ie center of the…

A: Substitute h,k and r in the equation, x-h2+(y-k)2=r2 and solve for y to yield the result.

Q: The function U(x, y) satisfies the equation a²U_a?U + ax2 ' ay2 = -2, at every point inside the…

A:

Q: 2. Integrate the function (x+2/x)ax using multiple-application trapezoidal rule with n= 3

A: Trapezoidal Rule: ∫abf(x) dx≈∆x2(f(x0)+2f(x1)+ ... +2f(xn-1)+2f(xn))where ∆x=b-an