If n = 168, and f(x) = V 241081 - x2 , what is the absolute difference between the left and right endpoint Riemann sums on [-491, 491]? Round your answer to 4 decimal places. Answer:When creating a left-endpoint Riemann sum on the interval [-86.7, 243.9] using 13 rectangles, the 8th endpoint used to calculate the height of the approximation rectangle would be O a. 91.32 O b. 117.75 O c. -86.7 O d. 181.02 O e. 243.9When creating a right-endpoint Riemann sum on the interval [98.9, 282.9] using 25 rectangles, the 11th endpoint used to calculate the height of the approximationectangle would be O a. 179.8600 O b. 261.8200 O c. 98.9 O d. 244.8800 O e. 282.9If f(1) = 19.9, f' (x) is continuous, and S, f'(x)dx = 2, what is the value of f(4)? Answer:An icosahedron is a Platonic solid with a surface that consists of 20 equilateral triangles. By what factor does the surface area of an icosahedron increase as the side length of each triangle doubles from a unit to 2a units, if a = 14.3? Round your answer to three decimal places. As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is variable. The quadratic function a(t) = 0.70t2 + 1.44: + 10.44 describes the acceleration in seconds. Compute the average value of a(t) to estimate the average acceleration between t = O and t = 13.9 seconds. Round your answer to five decimal places