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The net area of the region is square units. (Type an integer or a simplified fraction.)The net area of the region is square units. (Type an integer or a simplified fraction.)The net area of the region is square units. (Type an integer or a simplified fraction.)Graph the following function. Then use geometry (not Riemann sums) to find the area and the net area of the region described. The region between the graph of y = 5 - x and the x-axis for - 6Ex$6. The area of the region is (Type an integer or a simplified fraction.)Graph the following function. Then use geometry (not Riemann sums) to find the area and net area of the region described. The region between the graph of y = 2x - 6 and the x-axis from 0 Ex $ 7 The area of the region is square units. (Type an integer or a simplified fraction.)Consider the velocity function for an object moving along a line shown in the figure. a. Describe the motion of the object over the interval [0,6]. b. Use geometry to find the displacement of the object between t = 0 and t = 2. c. Use geometry to find the displacement of the object between t = 2 and t = 5. Velocity (m/s) d. Assuming that the velocity remains 10 m/s for t2 5, what is the displacement function between t = 0 and any time t2 5? Time (5)\fX X Let f(t) = 2t -4 and consider the two area functions A(x) = f(t) dt and F(x) = f(t) dt. Complete parts (a) (c). 2 5 Now prove that A'(x) = F'(x) = f(x). Given A(x) and F(x), take the derivative of A(x) and F(x) respectively and compare the results. A (X) = d dx (x2 - 4x + 4) = (Simplify your answer. Do not factor.)Graph the following function. Then use geometry (not Riemann sums) to find the area and net area of the region described. The region between the graph of y = 3x - 6 and the x-axis from - 45x 8 The area of the region is square units. (Type an integer or a simplified fraction.)