Exercise (4,5,6,7,8,9,10)

Calculus 3

0 Question 5 v B 0/1 pt '0 100 ('3 99 (D Det Find the volume of the region under the surface z = 3:192 and above the area bounded by m = y2 and :1: y = 2 . Round your answer to four decimal places. 0 Question 8 v E 0/1 pt 0100 3 99 (D Details Find the volume of the region under the surface 2 = corners (0,0,0), (6, 0, 0) and (6,6, 0). 1 + 2 and above the triangle in the xy-plane with a: Round your answer to four decimal places. 0 Question 7 v B 0/1 pt '0 100 8 99 (D Details D T Q 1 The region D above lies between the graphs of y = 3 (:1: + 2)2 and y = 7 + 3(3: + 4)3. It can be describe in two ways. 1. If we visualize the region having "top" and "bottom" boundaries, express each as functions of an and provide the interval of m-values that covers the entire region. interval of a: values that covers the region = 2. If we visualize the region having "right" and "left" boundaries, then the "right" boundary must be defined piece-wise. Express each as functions of y for the provided intervals of y-values that covers the entire region. O Question 4 GO Suppose that f(x, y) = y at which { ( x , y ) | 0 80/1 pt 0100 8 99 G Details then evaluate ff f(;c, y)dA using the Type II technique. D This plot is an example of the function over region D. The region identified in your problem will be slightly different. Answers to 4 significant digits. Integral Value EXERCISES 5 . 2 Progress saved Done a V6 ' Score: 0.5/10 1/10 answered 0 Question 6 v B 0/1 pt '0 100 2 99 0 Details Suppose that one variable, as, is chosen randomly and uniformly from [0, 1], and another variable, y, is also chosen randomly and uniformly from [0, 3]. What is the probability that a: S y S 3:12 + l? The probability for a: S y S 323 + 1 is Round your answer to four decimal places