Find the derivative of the vector function r(t)=ta×(b+tc)r(t)=ta×(b+tc), where a=⟨5,3,−4⟩a=⟨5,3,−4⟩, b=⟨−4,1,1⟩b=⟨−4,1,1⟩, and c=⟨−3,2,−4⟩c=⟨−3,2,−4⟩.

By the product rule,

We have

So

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

care to share were the trapezoid shown is ?