a) The rectangles in the graph below illustrate a ? Riemann sum for f(z) = 4 sin z on the interval (0, 7]. The value of this Riemann sum is 4. 3. 1 -pi/2 pi/2 3pi/2 -1 -3 -4 -5 Left endpoint Riemann sum for y= 4 sin x on [0, 7|
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![b) The rectangles in the graph below illustrate a
?
Riemann sum for f(z) = 4 sin z on the interval [0, 7].
The value of this Riemann sum is
-pi/2
pi/2
pi
3pi/2
-1
2
-3
ー4
-5
Right endpoint Riemann sum for y = 4 sin a on [0, 7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67bc319f-2f11-42a7-ad57-8d158478457b%2F507c4826-49a2-46d1-95a1-6c3382359da8%2F23643xk_processed.jpeg&w=3840&q=75)
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- (a) Find the Riemann sum for f(x) = Sin x , 0 ≤ x 3π/2 ,with six terms, taking the sample points to be right endpoints.(Give your answer correct to six decimal places.)Explain what the Riemann sum represents with the aidof a sketch.(b) Repeat part (a) with midpoints as the sample points.The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x)=(x^2)/(12) f(x)=(x^2)/(12) on the interval [2,6].The value of this left endpoint Riemann sum is __________________ , the area of the region enclosed by y=f(x)y=f(x), the x-axis, and the vertical lines x = 2 and x = 6.(a) Find the Riemann sum for f(x) = sin x, 0<=x <= 3 pie/2 , with six terms, taking the sample points to be right end-points. (Give your answer correct to six decimal places.) Explain what the Riemann sum represents with the aidof a sketch.
- (a) Find the Riemann sum for f(x) = sin x, 0<=x <= 3 pie/2 , with six terms, taking the sample points to be right end-points. (Give your answer correct to six decimal places.) Explain what the Riemann sum represents with the aidof a sketch. (b) Repeat part (a) with midpoints as the sample points.If f (x) = cos x 0 ≤x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Give your answer correct to six decimal places.) What does the Riemann sum represent? Illustrate with a diagram.a) The rectangles in the graph below illustrate a ? f(x) = 4 sinx on the interval [0, π]. The value of this Riemann sum is -pi/2 5 4 3 2 1 <-1 -3 Ĥ -5 pi/2 Pi 3pi/2 Left endpoint Riemann sum for y = 4 sinx on [0, π] Riemann sum for
- I got confused halfway and I emailed my professor except he wasn't much help with this problem. The question is: Consider the function f(x)=(x^2)/4+6. In this problem you will calculate ∫ [4,0] (x^2/4+6)dx by using the definition --> ∫[b,a] f(x)dx =lim(n→∞) ∑ni=1 f(xi)Δx. The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. Calculate Rn for f(x)=(x^2)/4+6 on the interval [0,4] and write your answer as a function of n without any summation signs. You will need the summation formulas from your textbook. A) Rn = B) limn--> inf Rn =(a) Find the Riemann sum for f(x) = 7 sin(x), 0 ≤ x ≤ 3?/2, with six terms, taking the sample points to be right endpoints. (Round your answers to six decimal places.) R6 = (b) Repeat part (a) with midpoints as the sample points. M6 =(a) Find the Riemann sum for f(x) = 4 sin x, 0 ≤ x ≤ 3?/2, with six terms, taking the sample points to be right endpoints. (Round your answers to six decimal places.)R6 = (b) Repeat part (a) with midpoints as the sample points.M6 =
- The following function is positive and negative on the given interval. f(x)=sin2x; {0,(3π)/4} a. Sketch the function on the given interval. b. 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 {0,(3π)/4} make positive and negative contributions to the net area.The following function is positive and negative on the given interval. f(x)= sin 2x ; {0,(3π)/4} a. Sketch the function on the given interval. b. Approximate the net area bounded by the graph of f and the x-axis on the interval using left, right, and midpoint Riemann sum with n=4. c. Use the sketch in part (a) to show which intervals of {0,(3π)/4} make positive and negative contributions to the net area.