Answer:
x = 
y = 
Jacobian value = 1/7
Step-by-step explanation:
Given data:
u = 2x -y
v = 3x + 2y
solving the system for x and y in terms of u and v
x = 
y = 
The value of the Jacobian = 1/7 ( solution attached below )
Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below
A. 6xy(2x^2y^2-4xy^2)
If you need to multiply 6xy and 2x^2y^2 & 6xy and 4xy^2.
You will get 12x^3y^3-24x^2y^3.
b. Factorization is not complete because 6xy is not the greatest common factor.
c. Complete factor: 12x^2y^3(x-2y).
Answer:
t= 11
Step-by-step explanation:

Gradient of line that contains points (3, 7) & (5, 11)


= 2
The product of the gradients of two perpendicular lines is -1.
Gradient of the line that contains points (t, -2) & (-3, 5)
= -1 ÷2



Cross multiply:
-(t +3)= -7(2)
Dividing by -1 on both sides:
t +3= 7(2)
t +3= 14
t= 14 -3
t= 11
The amount of interest owed is $115,000×0.07/12 ≈ $671.
(25, 160) and (50, 320)
(y2-y1)/(x2-x1)
(320-160)/(50-25)
160/25 = slope
Y = 6.4x + b
Plug in points and solve for b