Determine the length x in meters. Showing your work, find the values of x, y, and...
Solve the following IVP showing details of your work: x2 y” + 3 x y’ + y = 0 y (1) = 3.6 y’ (1) = 0.4
Solve the following problems by USING Lagrange multipliers. (a) Find the maximum and minimum values of f(x, y, z) = x^2 + y^2 + z^2 subject to the constraint (x − 1)^2 + (y − 2)^2 + (z − 3)^2 = 4 (b) Find the maximum and minimum values of f(x, y, z) = x^2 + y^2 + z^2 subject to the constraints (x − 1)^2 + (y − 2)^2 + (z − 3)^2 = 9 and x − 2z...
A lens with a focal length of 5 meters is used to look at an object this is x meters away, find the image distance, magnification, and whether the image is inverted or upright for the following values of x: a) x = 15 meters b) x = 2 meters c) if the object is placed at 5 meters away, find the image distance only. d) if the image distance is 5 meters away, find the object distance only.
1. Find the derivative of the function y (x) , showing all steps used 2. Find the derivative of the function y(x)In x), showing all steps used. 3. Show that sin(x) 1- (sin(x) cot (x))2, showing all steps 4. Evaluate the following integral:珓 1-cos' (x) cos(x) dx, showing all steps. 5. If the rate at which a car's position is changing is given by the formula0.3t2 - 2.0t +100, where x is in meters and t is in seconds, find...
Solve the following ODE’S. Please show your work f) y' +1= (x + y)m - (x + y)" + (x + y)P Hint : z = x + y; y' = Z' - 1
Show your work! No work, no credit! 1. Given T[c x, y, z >)-< x-z, y >. Complete the following a. Check if T is a linear transformation. Show your work! b. Find the domain and range of T. c. If T is a linear transformarion, find the matrix A that induced T. (6 points) 1)
The function y is defined as 2exp(x) 2 + x2 exp(-x) 1 + x2 y ifx > 0 Using a for loop or otherwise, (a) Determine the values of y in a vector called z for x values from -2 to 2 in steps of 0.2. Display the values of vector z. (b) Determine and display the sum of values of the vector z. The function y is defined as 2exp(x) 2 + x2 exp(-x) 1 + x2 y ifx...
Solve the linear svstenm Find the equilibrium and determine its type. Draw the phase portrait showing the eui librium, the ray solutions, and sketch other trajectories showing the direction. Find the solution with the initial conditions x(0) = 1, y(0) = 0.
how do i solve this? For f(x, y), find all values of x and y such that f (x, y) = 0 and f (x, y) = 0 simultaneously. f(x, y) = In(4x² + 2y2 + 8)
Your problem is to find the optimal solution to the following linear programming model where X, Y and Z represent the amounts of products X, Y and Z to produce in order to minimize some cost. Min 4X + 2Y + 6Z s.t. 6X + 7Y + 10Z ≤ 80 (1) 2X + 4Y + 3Z ≤ 35 (2) 4X + 3Y + 4Z ≥ 30 (3) 3X + 2Y + 6Z ≥ 40 (4) X,Y,Z ≥...