5. find the derivative matrices of the following composition of functions (a) f. g where f(x, y)= 2x -3y, g(u, v) = (usinu, usinu) (b)fg where f(x. y. 2) = (x2 + y + ,x-y+ 22), g()= (21, ,2r*) (c) f. g where f(x, y, z) = (xyz, xyxz - yz) where gu, u, w) = (uc, uu, vu)

true

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.

↓↓↓↓↓↓↓↓↓

step-by-step explanation:

this is a parabola.

-1/4 > -1 2/3. -1/4 is greater than -1 2/3 because it is closer to 0 on the number line.