1. For the given system: 2x - y = 6 8x + 2y = 0 a) Write in matrix form. b) Reduce to row echelon form. c) Now solve the system using the results from from b).
Find the absolute maximum and minimum of the function f(x,y)=2x? - 8x + y2 - 8y + 7 on the closed triangular plate bounded by the lines x = 0, y = 4, and y = 2x in the first quadrant. On the given domain, the function's absolute maximum is The function assumes this value at . (Type an ordered pair. Use a comma to separate answers as needed.) On the given domain, the function's absolute minimum is The function...
Differentiate y = ln(5x + 6) In(2x + 3)
4. Continuing with problem 3, f(x) = 2x? + 8x + 5. a) Find the x and y intercepts. b) Give the domain of the function. c) Give the range of the function. d) Sketch the graph of the function.
Define *() = -5 + 8x - 6x + 2x on 1 <=52 and 8(1) = 27 - 40z +18r? - 22 on 2 <=3 Verify that s(2) is a cubic spline function on 1,3]. Is it a natural spline function on this interval?
MatlabMECE 2350 Numerical Methods Lab 8.1. Differentiate the following function: f(x) = ex -2x +1 and solve its first derivative atx = 8 2. Numerically evaluate the approximated first derivative from the above function at x = 8 and h = 0.15 by the following: (a) Forward finite difference method (b) Backward finite difference method (c) Centered finite difference method 3. Calculate the error of each method by comparing the numerical derivative with the result from problem 1.
1. Find the derivative. sex (28* + 13 (2x + 1)2 (2X+1) ex (2x + 1)2 2. Solve the given differential equation where the function is subject to the given conditions) by using Laplace transforms. y' + 9y = 0, y 0 --1 y=-et y=-e y = e-9t y = 9et 3. Find the derivative. + y=2 sin x + 8x3 cos x4 8x* cos x X COS X 8x3 cos x3 Please tell which one is the correct choice
*Use the distribution function technique* to find the density function for Y = 2X + 3. The density function for X is f(x). Your answer should be given as a piecewise function. f(x) = { (1/4)(2x + 1) 1 < x < 2 0 elsewhere
Differentiate the following function yee Y dx Differentiate the following function yee Y dx
Find the basis function of the differential equation using Frobenius method b. ry(1-2x)y' +(1)y 0 Find the basis function of the differential equation using Frobenius method b. ry(1-2x)y' +(1)y 0