Riemann Sums

Welcome to the "Riemann Sums" category on Questions LLC! If you are fascinated by the study of calculus and want to delve deeper into the world of integration, you have come to the right place. Riemann Sums play a fundamental role in understanding the concept of definite integrals, enabling us to approximate the area under a curve. Whether you are a curious student, an aspiring mathematician, or someone seeking to refresh their understanding, this category offers a platform to explore and discuss various aspects of Riemann Sums. From the basics to more advanced techniques, join us on this educational journey to deepen your knowledge of calculus. Happy learning!

Questions (55)

Use midpoints to approximate the area under the curve (see link) on the interval [0,1] using 10 equal subdivisions.imagizer.imag
1. 7 answers
2. asked by Erik
3. 4,489 views
Can you give me the step by step instructions on how to do this problem? I'm having difficulty understanding Riemann Sum.Let
1. 9 answers
2. asked by Bae
3. 1,085 views
Consider \int(x+ln(x))^(1/3)dx with limits [2,10].a) Explain how you know a left-hand Riemann sum will be an underestimate for
1. 5 answers
2. asked by bob
3. 152 views
Consider \int(x+ln(x))^(1/3)dx with limits [2,10].a) Explain how you know a left hand Riemann sum will be an underestimate for
1. 4 answers
2. asked by bob
3. 84 views
Let𝐴=∫1021𝑥d𝑥 and let 𝐿4 and 𝑅4 be the Left hand and Right hand Riemann sum approximations for 𝐴 with 4
1. 1 answer
2. asked by bob
3. 125 views
Let V be the volume of the solid that lies under the graph of f(x,y)= (52 − x^2 − y^2)^1/2 and above the rectangle given by
1. 4 answers
2. asked by R
3. 2,017 views
If R =[−2, 2] × [−2, 0], use a Riemann sum with m = 4, n = 2 to estimate the value of (y2 − 2x2) dA. Take the sample
1. 4 answers
2. asked by Anon.
3. 1,963 views
Values of f(x,y) are given in the table below. Let R be the rectangle 1≤x≤1.6, 2≤y≤3.2. Find a Riemann sum which is a
1. 5 answers
2. asked by ally
3. 3,831 views
Evaluate the Riemann sum for f(x) = 5 −1/2x, 2 ≤ x ≤ 14,with six subintervals, taking the sample points to be left
1. 4 answers
2. asked by Jack
3. 5,263 views
9) The rectangles in the graph illustrate a left endpoint Riemann sum for f(x)=(x^2/8) on the interval [4,8].What is the value
1. 4 answers
2. asked by Hailey
3. 3,045 views
(a) Find the Riemann sum for f(x) = 2 sin(x), 0 ≤ x ≤ 3𝜋/2, with six terms, taking the sample points to be right
1. 4 answers
2. asked by Tara
3. 777 views
A biker is slowing down according to the following table of velocities:Time (secs) 0 1 2 3 4 Velocity (feet/sec) 25 20 16 12 10
1. 6 answers
2. asked by Justin
3. 2,092 views
Consider the integralfrom 3 to 6 S(2x^2+4x+3)dx (a) Find the Riemann sum for this integral using right endpoints and n=3. (b)
1. 3 answers
2. asked by <3
3. 1,499 views
Iff(x) = 3x2 − 2x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints. R6 =
1. 4 answers
2. asked by uhi
3. 2,775 views
Use the Riemann Sums corresponding to 5 inscribed rectangles of equal width to approximate the integral a= 1, b= 3, (1/x)dxthis
1. 4 answers
2. asked by Eric
3. 1,517 views
a)If f(x)= x/(x+2), 1 less than or equal to x less than or equal to 4, find the left and right sums for n= 10, 30, and 50.b)Illu
1. 3 answers
2. asked by CMM
3. 450 views
f(x)=x^2-x+3 , n=6 , a=0, b=3find LRAM, RRAM, and MRAM for x is greater than or equal to a or less than or equal to b
1. 4 answers
2. asked by Will
3. 934 views
What is the value of the left Riemann sum approximation to intergal 0 to 50 f(x)dx using the sub intervals [ 0,25] , [25,30] ,
1. 1 answer
2. asked by Ann
3. 279 views
The function y = f(x) is graphed below:ibb.co/MRtjrXR (Graph image) Which of the following Reimann sums yields the exact area
1. 1 answer
2. asked by Tbb
3. 269 views
Each of the following parts relates to finding the area underneath the curve , from x = 1 to x = 3.D. Set up, but do not solve,
1. 3 answers
2. asked by Billy
3. 531 views
The rate of U.S. per capita sales of bottled water for the period 2000-2010 could be approximated by s(t) = −0.18t2 + 3t + 15
1. 3 answers
2. asked by Amanda
3. 1,366 views
The rate of U.S. per capita sales of bottled water for the period 2000-2010 could be approximated bys(t) = −0.18t2 + 3t + 15
1. 1 answer
2. asked by Amanda
3. 780 views
How do I figure out the upper and lower bounds for a riemann sum?This question I'm working on tells me to assume: Δx=2π/n and
1. 1 answer
2. asked by Katy
3. 399 views
Rocket A has a positive velocity v(t) after being launched upward from an initial height of 0 feet at t=0 seconds. The velocity
1. 3 answers
2. asked by Anonymous
3. 1,150 views
Write the Riemann sum to find the area under the graph of the function f(x) = x2 from x = 1 to x = 5.1. the summation from i
1. 3 answers
2. asked by Mel
3. 2,550 views
Iff(x) = 3x^2 − 2x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints.
1. 1 answer
2. asked by sara
3. 928 views
Here is a graph of the function y = r(t) = tan(cos(πt) + .5) + 2:ibb.co/9qQjRvJ (Link to image) Estimate the total area under
1. 4 answers
2. asked by Dan
3. 320 views
Use the expressions for left and right sums and the table below.right-hand sum = summation (n above and i =1 on the bottom)
1. 1 answer
2. asked by Zoe
3. 1,061 views
find an expression for the area under the graph of f(x)= (x^2)+x from x=2 to x=5 as a limit of a riemann sum (do not need to
1. 2 answers
2. asked by Kelly
3. 675 views
consider the integral (4x^2+2x+4)dx from 0 to 6Find the Riemann sum for this integral using right endpoints and n=3 and Find the
1. 1 answer
2. asked by ryan
3. 418 views
consider the function f(x)= x^2/4 -6Rn is the Riemann sum where the sample points are chosen to be the right-hand endpoints of
1. 1 answer
2. asked by amanda
3. 936 views
Determine a region whose area is equal to the given limit.lim x-> infinity Sigma (n on top, i=1 on bottom) (2/n)*[5+(2i/n)]^10 I
1. 2 answers
2. asked by Rain
3. 1,759 views
Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at
1. 3 answers
2. asked by Tim
3. 2,979 views
Use the Left and Right Riemann Sums with 100 rectangle to estimate the (signed) area under the curve of y=−2x+1 on the
1. 3 answers
2. asked by Mark
3. 1,930 views
(a) Find the Riemann sum forf(x) = 7 sin x, 0 ≤ x ≤ 3π/2, with six terms, taking the sample points to be right endpoints.
1. 3 answers
2. asked by John
3. 1,509 views
For the function f described by the following table, estimate �ç40 0 f(x)dx using the following. Enter each answer as a sum to
1. 2 answers
2. asked by Robin
3. 1,164 views
The rectangles in the graph illustrate a left endpoint Riemann sum for f(x)=x^2/8 on the interval [4,8].The value of this left
1. 1 answer
2. asked by Hailey
3. 1,130 views
1. What is the Right Riemann Sum for f(x)=x−3 over the interval [8,11], with n=3 rectangles of equal width?2. What is the
1. 2 answers
2. asked by S
3. 1,047 views
The Riemann sum s for f(x)=4x^2, 0<=x<=1, taking the sample points to be the right endpoints is given by s=4n^2+6n+2/3n^2. True
1. 2 answers
2. asked by Alice
3. 903 views
The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given
1. 1 answer
2. asked by Anonymous
3. 892 views
The rectangles in the graph illustrates a left endpoint Riemann sum for f(x)=−(x^2/4)+2x on the interval [3,7].The value of
1. 1 answer
2. asked by Hailey
3. 810 views
Use a Riemann sum with n = 3 terms and the right endpoint rule to approx. ∫(1, 2) sin(1/x)dx.My teacher just needs the terms
1. 2 answers
2. asked by Justin
3. 729 views
3.3 Evaluate the Riemann sum for 𝑓(𝑥) = 2 + 6𝑥, 2 ≤ 𝑥 ≤ 14, with six sub intervals taking the sample point to be
1. 2 answers
2. asked by Lavendar
3. 689 views
The following sum[(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2))).(6/n)]+ ... + [(sqrt(36-((6n/n)^2))).(6/n)] is a right
1. 1 answer
2. asked by Salman
3. 673 views
Consider ∫R∫syDA, where R is the square R=[0,1]x[0,1]. Let us compute some Riemann sums. For any positive integer n we
1. 2 answers
2. asked by Bryant
3. 620 views
Consider the given function.f(x) = 3 sin(6x) text(, ) 0<=x<=(3pi)/2 (a) Find the Riemann sum with six terms, taking the sample
1. 4 answers
2. asked by Justin
3. 637 views
Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round
1. 1 answer
2. asked by louis
3. 613 views
Calculate the indicated Riemann Sums for the function g(x)=4-x^2a)one rectangle b)two rectangles
1. 2 answers
2. asked by Carl
3. 562 views
Calculate R8 for f(x)=8−x over [3,5].R8=
1. 2 answers
2. asked by saud
3. 535 views
Find the Riemann sum associated withf(x)=4x^2+2, n=3 and the partition xsub0=-2 xsub1=1 xsub2=2 xsub3=4 of [-2,4] (a) when xsubk
1. 1 answer
2. asked by amanda
3. 522 views

Riemann Sums

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