what is the solution of 6 7 by using forward difference method?
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what is the solution of 6 7 by using forward difference method? Find out the first...
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
3. Work out Example 4.18 in the lecture notes by using the CDF method. Example 4.18 • Let X and Y be i.i.d. ~ N(0,), i.e., fxy(x, y) = fx(x)fy(y) 210 for all x and y. In polar coordinates, fxx(r cos 6,r sin 7) = 15e etape • Let Z= V x2 + y2. Then fz(z)dz = JJx.): x2 + y €12.z+dz)) fx(2)dz = Jl.. fer(x, y)dx dy
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative is f"(x) = 4(x2 + 1)(2x – 1)+8x²(2x – 1)+ 16x(x? + 1) and third derivative is f"(x) = 24x(2x – 1) +24(x + 1) +48x2. True False dy Given the equation x3 + 3 xy + y2 = 4. We find dx 2 x' + y by implicit differentiation and is to be y' = x + y2 True False Let f(x)= x...
Find the general solution or particular solution of each the following DE's 1) (y-y2 tanx)dx + (2y+tanx)dy=0 2) (x2+y2+x)dx + xydy-0 i y(-1)-1 4) For the initial value problem y' + xy - xy? ex2 ; y(0)-1 Find the explicit solution if y>0 dy dae dy
Find the limit, if it exists, or show that the limit does not exist. 1. lim (x²y3 – 4y?) (2,y)+(3,2) 2. lim 24 - 4y2 (x,y)+(0,0) x2 + 2y2 3. Find the first partial derivatives of the function of f(x,y) = x4 + 5.cy 4. Find all the second partial derivatives of f(x,y) = x+y + 2.x2y3 5. Find the indicated partial derivatives. f(1, y) = x^y2 – røy ; farzz, fryz
please explain the steps to your solution using Microsoft excel to Compute the answer 7) From x-1 tox-2, find the values of the function whose derivative is dy Inx) + xy dx using the 2"d order Runge-Kutta approximation and a Ax of 0.1. At x 1, y-1. 7) From x-1 tox-2, find the values of the function whose derivative is dy Inx) + xy dx using the 2"d order Runge-Kutta approximation and a Ax of 0.1. At x 1, y-1.
Find the dy/dx for the following equations (e) (y+1)= x +42 (f) x3 + y2 = 4.1 (g) xy = 3ry +3 (h) ya = r sin(1)
In Problems 3-6, find the critical point set for the given system. dx 4. dx = x-y, 3. dt y1 dt dy dy = x2 y2 - 1 dt = x + y + 5 dt dx dx x2- 2xy y2- 3y 2 6. 5. dt dt dy dy 3xy - y2 (x- 1)(y 2) dt dt
Find a solution 6. (e* sin y + tan y)dx + (e* cos y + x(sec y)2)dy = 0.