(1 point) For the equation given below, evaluate y at the point (1,5). 6x - 4y...
(1 point) Find the minimum and maximum of the function z-6x - 4y subject to 6x-3y 15 6x +y < 49 What are the corner points of the feasible set? The minimum is and maximum is . Type "None" in the blank provided if the quantity does not exist.
/10 POINT ZILLDIFFEQMODAP11 4.4.003. Solve the given differential equation by undetermined coefficients. y" – 4y' + 4y = 4x + 4 y(x) = Submit Answer
2. (2 pts) Determine the type of the critical point (0,0) for the system x' =-7x+ 5y, y' =-6x 4y. Sketch a phase portrait based on the eigenvectors, and the direction that the sign of the eigenvalue indicates.
2. (2 pts) Determine the type of the critical point (0,0) for the system x' =-7x+ 5y, y' =-6x 4y. Sketch a phase portrait based on the eigenvectors, and the direction that the sign of the eigenvalue indicates.
y^2-3x-4y-1=0
3. Find the equation of the tangent line and the equation of the perpendicular line to the curve y? - 3x - 4y - 1 = 0 at (-2, 1) at the given point. 2 marks.
6. (10 points) Find the equation of the line that is perpendicular to the line 6x - 4y = 3 and passes through the point (6,-1). (a) Find the slope of the given line 6x – 4y = 3. (b) What is the slope of a line that is perpendicular to the above line? (c) Now, find the equation of the perpendicular line that passes throu
Question 5 < > Given the differential equation y' + 5y' + 4y = 0, y(0) = 2, y'(0) = 1 Apply the Laplace Transform and solve for Y(8) = L{y} Y(s) = Now solve the IVP by using the inverse Laplace Transform y(t) = L-'{Y(s)} g(t) =
=> (x² - 6x) y - y = 0 Find the singular point and ordinary point of this equation.
Question 1 1. Given the equation 3x + 4y = 5, answer the following two parts for 5 points each. a. Is the slope of the line positive or negative? b. Using any point (x, y), as x increases in value, describe the value change in y.
Given the differential equation y" – 4y' + 3y = - 2 sin(2t), y(0) = -1, y'(0) = 2 Apply the Laplace Transform and solve for Y(8) = L{y} Y(S) -
Solve the following linear programming problem. Maximize: z=5x+4y Subject to: 6x-y≤16 3x+y≥12 x≥2 y≤8 The maxiumum value of 5x+4y is ____ at the point _____ (Type an integer or a simplified fraction.)