Suppose a change of coordinates t: r2→r2 from the uv-plane to the xy-plane is given byx=−4v−3u−1, y=3−4u−5v.(a) find the absolute value of the determinant of the jacobian for this change of coordinates.∣∣∣∂(x, y)∂(u, v)∣∣∣=∣∣∣det⎡⎣⎢⎢⎤⎦⎥⎥∣∣∣= (b) if a region d∗ in the uv-plane has area 7.25, find the area of the region t(d∗) in the xy-plane.

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

ιт ιѕ $222.95

step-by-step explanation:

αℓℓ уσυ gσт тσ ∂σ ιѕ fιgυяє συт ωнαт 30% σf $318.50 ιѕ $95.55

тнєи ѕυвтяα¢т ιт fяσм $318.50-$95.55=$222.95

нσρє ι ¢συℓ∂ нєℓρ уσυ συ

interest rate - 12.000%  

final payment - $355.40