Complete the following steps for the given function, interval, and value of n a. Sketch the graph of the function on the given interval b. Calculate Ax and the grid points Xo...... c. Illustrate the left and right Riemann sums, and determine which Riemann sum underestimates and which sum overestimates the area under the curve d. Calculate the left and right Riemann sums. f(x)=2x2 +5 on 12.7); n = 5 a. Sketch the graph of f(x)2? +5 on the interval...
Please show all work and answer
5) For each of the integrals in problems a c below, first sketch the corresponding area, and then approximate the area using the right and left endpoint approximations and the Trapezoid Rule, all with n = 4 . From your sketch alone determine if each approximation is an overestimate, an underestimate, or if there is not enough information to tell. Finally determine the value of n for which the Simpson Rule would approximate the...
Write out the terms of the sum, but do not evaluate C. neither sum C. neither sum sent to the LMS You Your overall recorded score is 096. You have 3 attempts remaining
Write out the terms of the sum, but do not evaluate C. neither sum C. neither sum sent to the LMS You Your overall recorded score is 096. You have 3 attempts remaining
Problem 1 [4 pts] Consider the region R below the curve y = 2x – 1? + 3 and above the -axis between x = -1 and x = 3. Find the Riemann sum R, approximating the area of the region R using right-end points. Write your answer in terms of R. =1 i=1 i=1 Do not evaluate R, or the definite integral.
6. (6 pts) (x)-4-2x on [0,4] a. b. Sketch the function on the given interval. Approximate the net area bounded by the graph of f and the x-axis on the interval using a left, right, and midpoint Riemann sum with n-4 c. Use the sketch in part (a) to show which intervals of [a,b] make positive and negative contributions to the net area. (4 pts Use geometry (not Riemann sums) to evaluate the following definite integrals Sketch a graph of...
Consider the integral 1 To vita dx V1 + x3 (a) Write out the first four non-zero terms of the MacLaurin series for the above integral. (b) Write out the first four non-zero terms of the series for 1 so dx V1 + x3 (c) How many terms of the above series should we add together to estimate p1/2 dc V1 + x3 within 0.001? 1
Parts e, f, and g only please
2. Let f(x) = -3x + 2 for 0 < x < 1. (a) If we partition the interval (0, 1) into five subintervals of equal length Ar, 0 = xo <12 <2<83 < 14 < 25 < x6 = 1, what is Ar and what are the ri? (b) Sketch a diagram for each of L5 and R5, the left and right enpoint Riemann sums for f(c) using the partition above. (c)...
1. (a) Find L4 and R4 for the integral
1 (x sin x/2) dx
Show the setup and round the answer to threedecimal places.
(b) Find M4 for the integral
1 (x sin x/2) dx . Show the setup and round the answer to four
decimal places.
Sketch the approximating rectangles on the graph.
(c) Compare the estimates with the actual value
1 (x sin x/2) dx
10.243 . Which estimate is the most accurate?
(d) Express the integral from...
Let v(x) - 2 + 8x +1358. Write out the FUNCTIONNOTATION ONLY for the Riemann sum of over the interval (1.5] for six sub-intervals of equal length. You select Left OR Right point. If you select midpoint and it is correct, earn 10 extra points. DO Not Compute the estimated area
Question 25 Let vb. 2xBx+1358. Write out the FUNCTIONNOTATION ONLY for the Riemann sum of over the interval (1.5 for six sub intervals of equal length. You select Left OR Right point If you select midpoint and it is correct, earn 10 extra points. DO Not Compute the estimated area. BIVAN.I.EE 3.XXEE - 2 V 11 12 Paragraph