How do you do this question?

B) y − 3 = -e (x + 1)

Step-by-step explanation:

Use second fundamental theorem of calculus.

y = 3 − ∫₋₁ˣ e^(-t³) dt

dy/dx = -e^(-x³) (1)

At x = -1:

y = 3

dy/dx =  -e

Using point-slope form, the equation of the tangent line is:

y − 3 = -e (x + 1)

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you