Can you help me?

1. Evaluate the indefinite integral using u-substitution. 2. Find the volume obtained by revolving the region bounded by y = al, y = 0, and x = 2 around the y-axis. 3. Evaluate. Be careful, make sure to know the shape of the graph. 4. Consider the sequence given by: 5 On = n + 2 (a) Write the first five terms of the sequence, beginning with n = 1. (b) Is the sequence bounded? Explain. (c) Is the sequence monotonic? Explain. (d) Does the sequence converge or diverge? Why? If it converges, find its limit. For numbers 5 through 9, determine the convergence or divergence of the series. If it converges, does it converge conditionally or absolutely? 5. 6. 3 - 3n + 4 7. 8 2" - 7n + 3 8. (-1)"n 7n -5 9 - (2n)!2) A random sample of 36 elementary school students finds that 27 of them like to learn dances from a popular video game. Find the 95% confidence interval for the proportion of elementary school students that like to learn dances from this popular video game. a) Sample size b) Sample proportion C) Z' d) SE e) 95% confidence interval1) If one card is drawn from an ordinary deck of cards, find the probability of drawing a king or a queen or a club. (This is a single probability, not the probability of each event. ) This image may be helpful