We can improve any Riemann approximation by increasing n, the number of rectangles used in our approximation. In the previous approximations we used n- 3, so now we will try n 6 25 20 For this value of n you will only need to calculate one Riemann sum - either the left, right, or midpoint Riemann sum. Make your selection below, then move the points on the graph to the left so that the image matches your choice 15 10 Left Riemann sum Right Riemann sunm Midpoint Riemann sum 2 -10

QUESTION 6 Simplify the rational expression 3. 6. n-5 3n -8 TTTT Paragraph : Arial f Mashups - Path: p

the second hand of a circular clock exhibits simple harmonic motion if the second hand moves continuosly and displacment of the tip of the hand around the circumference of the clock from its starting position (at 12) is measured. On a specific clock, the motion of the second hand causes maximal displacemement of 6pi inches. The second hand completes one revolution of the clock in 60 seconds. Assume the second hand is at 12 on the clock when you begin the modelling process. Determine the amplitude, frequency and period of the second hand of the clock. Write a mathematical model that decribes displacement in inches of the tip of the hand around the circumference of the clock from its starting position as a function of time in seconds. Sketch a graph of the model exhibiting two periods of motion.

Find a real root of cosx – xeˣ = 0 correct to three decimal places by Bisection method.