Find the function whose tangent line has the slope ex for

Question

1. Determine the area between f(x) = 2x and g(x) = (x²)‾on the domain determined by the points where the graphs of the functions cross.

a. 0.1111

b. 1.0125

c. 1.6667

d. 1.3333

2. Find the function whose tangent line has the slope e^x for each value of x, and whose graph passes through (0, 5).

a. e^x + 4

b. e^x + 5

c. e^x

d. e^x - 4

3. Find the function whose tangent line has the slope (3x² + 1)‾ for each value of x and whose graph passes through (0, 2).

a. x³ + (x + 2)‾

b. (x³ + x)‾

c. x³ + (x - 2)‾

d. (x³ + 3)‾