Calculus 2

Section 6.6: Problem 1 (1 point) Find the area under the curve y = 1/(9x*) from x = 1 to x = t and evaluate it for t = 10, t = 100. Then find the total area under this curve for > > 1. (a) t = 10 (b) t = 100 (c) Total areaSection 6.6: Problem 2 (1 point) Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as /NF . If it diverges to negative infinity, state your answer as -/NF . If it diverges without being infinity or negative infinity, state your answer as DIV . 70/5Section 6.5: Problem 3 (1 point) Consider the integral approximation To of Jose i dx. Does 720 overestimate or underestimate the exact value? O A. underestimates O B. overestimates Find the error bound for 720 without calculating I7 using the result that M(b - a)3 Error (TN) 12N2 where M is the least upper bound for all absolute values of the second derivatives of the function 3e 7 on the interval [a, b]. Error(T20)Review Calculus I: Problem 3 (1 point) Given that lim f(x) = -2, lim g(x) =1, lim h(x) = -6, find the following limits I-1400 Enter inf for co, -inf for -co, and DNE if the limit does not exist. (a) lim [f(x) + 79(x)]] I +1 00 (b) lim [f(x)9(x)] 9 (c) lim I + 00 g() 3h(x) + 10 (d) limSection 6.5: Problem 6 (1 point) The graph of a function f is given below. Estimate Sof(x) da using four subintervals with (a) right endpoints, (b) left endpoints, and (c) midpoints. (a) fo f(x) di = (b) So f(x) dx ~ (c) So f(x) dr ~ 0 1 X