6. (10 pts) Let a be a positive integer Evaluate the following limit. If you use...
The widths (in meters) of a kidney-shaped swimming pool were measured at 4-meter intervals as indicated in the figure. Use Simpson's Rule to estimate the area of the pool. (Round your answer to the nearest square meter.) 140 x m2 5.6 5.0 6.8 4.8 4.8 7.2 6.2 Enhanced Feedback Please try again. Let x be the distance from the left side of the pool, measured in meters. Let f(x) be the width of the pool at x. So, f(O) =...
4.(15 pts) Let a be a positive odd integer. Find the value of the following integral in terms of a using substitution with u = = sin(ax). jë sinº (ax)cosº (ax) dx 5. (10 pts) Let a, b, and cbe positive integers. Evaluate the following limit. If you use 2 Hospital's Rule, be sure to give indeterminare pe and mention when you inoke it. In (a+beck lim 06 x
Evaluate the following limit using l'Hôpital's Rule. 7In x-7 lim X-e Xe Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. 7in x-7 lim X-e = lim Xe Xe Evaluate the limit. 7In x-7 7 = (Type an integer or a fraction.) lim X-e X-e n. Find the solution of the following initial value problem. p' (t) = 65 e -; (O) = 280 The solution of the initial value problem is p(t)...
6. 10 pts. Use Maclaurin series (see table on other side) to evaluate the limit ex – 1 – 2 lim X+0 x arctan x