._ 3 5. Evaluate exactly the value of J (25:5 + 6x] [536' +3)dx . Your work must Include the use of substitution and the
._ 3 5. Evaluate exactly the value of J (25:5 + 6x] [536' +3)dx . Your work must Include the use of substitution and the antlderivatlve. (1 n points) _1 6 3. Find the interval on which the curve of y= 1+2t+ +2 dt is concave up. (10 points) B i U Font Family - AA AD cos (X) 4. Evaluate dx . (10 points) 1+ sin(x)1. Using n = 4 equal-width rectangles, approximate (x3 +8)dx . Use the right end-point of each sub-interval to determine the height of each rectangle. (10 points) -2 B i U Font Family A A DE E E . 3 50 2. Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table below. The total amount of water that leaked out is evaluated by a Riemann sum. Find the upper estimate (left end-points of each rectangle) for the total amount of water that leaked out by using five rectangles. Give your answer with one decimal place. (10 points) t (hr) 0 2 4 6 8 10 r(t) (gal/hr) 8.7 7.6 6.8 6.2 5.7 5.3
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