CALCULUS HELP> I really need help?

L(997) = 0.001003

Step-by-step explanation:

L(x) = f(a) + f'(a)(x-a)

f'(x) =

a = 1000

x = 997

L(997) = f(1000) + f'(1000)(997-1000)

L(997) = (1/1000) + (-1/(1000^2))*(-3)

L(997) = +

L(997) = 0.001003

Area of the shape = 8 square units

Step-by-step explanation:

Area of the given composite figure = Area of the triangle + Area of the trapezoid

Area of the triangle =

                                 =

                                 = 4 square units

Area of the trapezoid =

( and are the bases of the trapezoid and h is the distance between these bases).

Area of the trapezoid =

                                    = 4 square units

Total area of the figure = 4 + 4 = 8 square units