Solve by using Cramer’s Rule
4 e x – 6 tan( y ) + 2 ln(z) = 1
3 e x + 5 tan( y ) – 3 ln(z) = 2
e x + 5 tan( y ) + 4 ln(z) = 5
Solve using both Gaussian Elimination (row operations) and also Cramer’s Rule x + 3y - 6z = 7 2x - y + 2z = 0 x + y + 2z = -1
4. Solve the following system of linear equations using the inverse matrix method. 1 y = 1 2 , 3 2 -r- 1 5 4 a) x+y +z= 6 x-y-3z=-8 x+y- 2z=-6 b) Solve the following system of linear equations using Cramer's Rule. 5. 2 1 -X- 3 2 1 3 X+-y-1 5 4 y = 1 a) x+y+z= 6 x-y-3z=-8 x+y- 2z = -6 b) 4. Solve the following system of linear equations using the inverse matrix method. 1...
Use the Cramer's Rule to solve the system\(2 x-y+z=0\)\(x+y-z=6\)\(4 x-5 y+3 z=28\)Any other method will not be graded ! Justify your answer!
Differential Equations - Seperable equations (a) y=tan(ln(x)--) 5) 5 (b) y=(31 es2 ds + 27 3 (a) y=tan(ln(x)--) 5) 5 (b) y=(31 es2 ds + 27 3
5. Find the derivative of f(x) = ln (sec(x) + tan *' (x)). 6. Find an equation of the tangent line to the curve y = x’ In(x) when x = e?
Change the system of equations to an augmented matrix. Then Use the Cramer’s Method to solve the system. (1/2)x + (1/5)y = 7 (1/6)x - (2/5)y = -4
Solve using Cramer's Rule X – 2y +z=7 2x +y – z=0 3x + 2y – 2z = -2 O (1,-2,0) O (2,-1,3) O (1,-1,1) No Solution
let u= ln(x) and v=ln(y) w=ln(z) where x,y,z>0 .Write thr following wxpressiins in terms of u,v, and w. a) ln( squareroot x^5)/ y^3z^2) B) ln (squareroot x^3 4squaroot y)
Utility Function: U = ln (x) + ln (z) Budget Constraint: 120 = 2x + 3z (a) Find the optimal values of x and z (b) Explain in words the idea of a compensating variation for the case where the budget constraint changed to 120 = 2x + 5z Problem 4 (a) Derive the demand functions for the utility function (b) Let a = 2, b = 5, px = 1, pz = 3, and Y = 75. Find the...
Rewrite 6 ln(x) using the power rule for logs to a single logarithm with a leading coefficient of 1. Expand logs (4) using the power rule for logs.