The position of an object moving along a line is given by the function s(t) = 6t2 + 42t. Find the average velocity of the object over the following intervals. (a) [1: 10] (b) [1. 9] (c) [1, 3] (d) [1, 1 + h] where h > 0 is any real number. <:> (a) The average velocity of the object over the interval [1, 10] is D. (b) The average velocity of the object over the interval [1, 9] is D. (c) The average velocity of the object over the interval [1, 8] is D. (d) The average velocity of the object over the interval [1, 1 + h] is El. For the function f(x) = 3x2, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x =2. Complete the table. (Do not round until the nal answer. Then round to the nearest thousandth as needed.) Slope of the Secant Line Interval It can be conjectured that the slope of the tangent line at X: 2 is D. (Round to the nearest integer as needed.) Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. 3):2 +13x+4 x2 - 5x f(x)= ,a=5 E} Select all that apply. I] A. The function is continuous at a = 5. E] B. The function is not continuous at a = 5 because f(5) is undened. E] C. The function is not continuous at a = 5 because lim f(x) does not exist. x>5 E] D. The function is not continuous at a = 5 because lim f(x) 95 f(5). x>5