Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table t (h) 6 8 10 r(t) (L/h ) 8.8 7.5 6.9 6.4 5.7 5.3 Find lower and upper estimates for the total amount of oil (in liters) that leaked from the tank over the interval [0, 10]. (Use five equal subintervals.) lower estimate upper estimate Submit Answer 3. [-/1 Points] DETAILS SCALCET9 5.1.018. MY NOTES ASK YOUR TEACHER Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f( x) = x + In(x), 2sxs9 A = lim 1 = 1 Submit Answer 4. [-/1 Points] DETAILS SCALCET9 5.2.011. MY NOTES ASK YOUR TEACHER Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 6 8evxax , n =6 Me = Submit Answer 5. [-/1 Points] DETAILS SCALCET9 5.2.042. MY NOTES ASK YOUR TEACHER Evaluate the integral by interpreting it in terms of areas. L (2x - 1) Ox Submit Answer 6. [-/1 Points] DETAILS SCALCET9 5.2.053. MY NOTES ASK YOUR TEACHER Given that x2 dx = , use this fact and the properties of definite integrals to evaluate (7 - 9x 2 ) dx . Submit Answer 7. [-/1 Points] DETAILS SCALCET9 5.3.016. MY NOTES ASK YOUR TEACHER Use part one of the fundamental theorem of calculus to find the derivative of the function. h(x) =/ z2 4 +5 - dz h ' ( x ) = Submit Answer 8. [-/1 Points] DETAILS SCALCET9 5.3.030.MI. MY NOTES ASK YOUR TEACHER Evaluate the integral * - 4 15 Ox Submit Answer 9. [-/1 Points] DETAILS SCALCET9 5.3.052.MI. MY NOTES ASK YOUR TEACHER Evaluate the integral. / VZ 2 dx