# Using f(x), determine a formula for the Riemann Sum S_n obtained by dividing the interval [0, 4] into n equal sub-intervals and using the right-hand endpoint for each c_k. f(x)= 5x+2 Now compute the limit as n goes to infinity

48,630 results
1. ## calculus

Evaluate the Riemann sum for f(x) = 5 −1/2x, 2 ≤ x ≤ 14,with six subintervals, taking the sample points to be left endpoints. I don't understand is the answer 18?

2. ## Calculus

Use midpoints to approximate the area under the curve (see link) on the interval [0,1] using 10 equal subdivisions. imagizer.imageshack.us/v2/800x600q90/707/5b9m.jpg 3.157---my answer (but I don't understand midpoints) 3.196 3.407 2.078 2.780 2. Use

3. ## Calculus

Write the Riemann sum to find the area under the graph of the function f(x) = x4 from x = 5 to x = 7.

4. ## Calculus integrals

Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]

5. ## Calculus

1. The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value of the function with a Left Hand Sum Approximation, using the intervals between those given points. x 10 12 15 19 20 f(x)

6. ## maths

the difference of two positive number is 69 the quotient obtained on dividing one by the the other is 4 find the numbers

7. ## Calculus

1. The graph of f ′′(x) is continuous and decreasing with an x-intercept at x = –3. Which of the following statements must be true? A. The graph of f is always concave down. B. The graph of f has an inflection point at x = –3. C. The graph of f has

8. ## Calculus

Function f(x) is positive, decreasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the left sum, right sum, and trapezoidal rule approximations for the value of

9. ## maths

3.3 Evaluate the Riemann sum for 𝑓(𝑥) = 2 + 6𝑥, 2 ≤ 𝑥 ≤ 14, with six sub intervals taking the sample point to be left end points. Hence evaluate the following integral 14 ∫ (2 + 6𝑥) 𝑑𝑥. 2

10. ## Calculus

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer and explain, using a graph of f(x), what the Riemann

11. ## tntech

If f(x) = 3x2 − 2x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints. R6 =

12. ## algebra 2

determine the number of terms n in each geometric series 21) a_1 = -2, r = 5, S_n = -62 23) a_1 = -3, r = 4, S_n = -409 thank u! :-)

13. ## Calculus

Function f(x) is positive, decreasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the left sum, right sum, and trapezoidal rule approximations for the value of

14. ## Calculus

f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the value of g '(0.1) x| .1 .2 .3 .4 .5 f'(x)| 1 2 3 -4 5 So I know f(x) would be the integral of f'(x) which you can get with a Riemann

15. ## Calculus

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer.

16. ## Math

Use a left endpoint Riemann sum approximation with four subintervals to evaluate integral from 0 to 8 of g(x)dx These points were given: (0,-1) (1,-1.5) (2,-2.5) (3,-3) (4,-1.5) (6,-0.5) (7,-1) (8,-1.25

17. ## Calculus

Function f(x) is positive, increasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the upper sum, lower sum, and trapezoidal rule approximations for the value of

18. ## Calculus

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 Riemann sum for the definite integral F(x) dx from x=0 to 6 Find F(x) and the limit of these Riemann sums as n tends to infinity.

19. ## Math!

Consider the integral from 3 to 6 S(2x^2+4x+3)dx (a) Find the Riemann sum for this integral using right endpoints and n=3. (b) Find the Riemann sum for this same integral, using left endpoints and n=3.

20. ## Calculus

What is the Riemann sum to find the area under the graph of the function f(x) = x4 from x = 5 to x = 7.

21. ## calc help

consider the function f(x)= x^2/4 -6 Rn 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

22. ## Calculus

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 endpoint Riemann sum is? The rectangles in the graph illustrate a right endpoint Riemann sum for f(x)=x^2/8 on the interval

23. ## Limit

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 started with delta x=b-a/n =5-0/n =5/n The width of delta is 2/n so b-a=2 I'm not sure how you got 5-0/n The integrand looks

24. ## Calculus

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 Riemann sum for the definite integral F(x) dx from x=0 to 6 Find F(x) and the limit of these Riemann sums as n tends to infinity.

25. ## chemistry

A compound is found to be 51.39% carbon, 8.64% hydrogen, and 39.97% nitrogen. It has a molecular molar mass of 140.22 g/mol. (This question requires one to find the empirical formula to end up with the final answer in molecular formula) A. C10H14N2 B.

26. ## Calculus

Can someone tell me how to do these? Estimate INT from 0 to 1 2/(1+x^2)dx by subdividing the interval into 8 parts, using (i) the left Riemann sum: INT from 0 to 1 2/(1+x^2)dx (ii) the right Riemann sum: INT from 0 to 1 2/(1+x^2)dx (iii) the trapezoid rule

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 of the rocket is recorded for certain values of t over the interval 0

28. ## Maths

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 Riemann sum for the definite integral F(x) dx from x=0 to 6 Find F(x) and the limit of these Riemann sums as n tends to infinity.

29. ## calculus2

Find two non-Riemann integrable functions whose sum is not Riemann integrable.

30. ## Precalculus - check answer

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 gallons per year (0 ≤ t ≤ 10), where t is time in years since the start of 2000. Use a Riemann sum with n = 5 to estimate

31. ## Calculus

This is a question from my textbook that does't have a solution and quite frankly I have no idea what to do. Any tips would be greatly appreciated. Given the function f defined by f(x) = 9 - x^2. Find the surface area bounded by the curve y = f(x), the x

32. ## Calc

Give a 4-term left Riemann sum approximation for the integral below. 16 ⌠ 3*((x+2)^(1/2)) ⌡ 12

33. ## Calculus

The Riemann sum s for f(x)=4x^2, 0

34. ## calculus

Use the Left and Right Riemann Sums with 100 rectangle to estimate the (signed) area under the curve of y=−2x+1 on the interval [0,50]. Write your answer using the sigma notation.

35. ## Calc

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 points to be the upper left corners of the squares.

The first prize in a lottery is $250 000. Each winner chosen after the first is paid 20% as much as the winner before them. a) Determine t1 and r for the geometric sequence that represents this situation. b) Determine an explicit formula for the general 37. ## Single Variable Calculus 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 evaluate). the answer i got was: lim as x-> infinity of sigma from i=2 to n of (2+3i/n)^2+(3i/n)(3/n) is this correct? 38. ## Calculus Using f(x), determine a formula for the Riemann Sum S_n obtained by dividing the interval [0, 4] into n equal sub-intervals and using the right-hand endpoint for each c_k. f(x)= 5x+2 Now compute the limit as n goes to infinity S_n to compute the area under 39. ## Calc 2 Can you give me the step by step instructions on how to do this problem? I'm having difficulty understanding Riemann Sum. Let f(x) = 2/x a. Compute the Riemann sum for R4 using 4 subintervals and right endpoints for the function on the interval [1,5]. b. 40. ## Calculus For the function f(x)=10-4(x^2), find a formula for the lower sum obtained by dividing the interval [0,1] into n equal subintervals. Then take the limit as n->infinity to calculate the area under the curve over [0,1]. I only need help with the first part. 41. ## Calculus Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval and please explain, using a graph of f(x), what the Riemann sum represents. My cousin needs help 42. ## Calculus Can someone tell me how to do these? Estimate INT from 0 to 1 2/(1+x^2)dx by subdividing the interval into 8 parts, using (i) the left Riemann sum: INT from 0 to 1 2/(1+x^2)dx (ii) the right Riemann sum: INT from 0 to 1 2/(1+x^2)dx (iii) the trapezoid rule 43. ## Calculus Can someone tell me how to do these? Estimate INT from 0 to 1 2/(1+x^2)dx by subdividing the interval into 8 parts, using (i) the left Riemann sum: INT from 0 to 1 2/(1+x^2)dx (ii) the right Riemann sum: INT from 0 to 1 2/(1+x^2)dx (iii) the trapezoid rule 44. ## Calculus Can someone tell me how to do these? Estimate INT from 0 to 1 2/(1+x^2)dx by subdividing the interval into 8 parts, using (i) the left Riemann sum: INT from 0 to 1 2/(1+x^2)dx (ii) the right Riemann sum: INT from 0 to 1 2/(1+x^2)dx (iii) the trapezoid rule 45. ## Calculus 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 this left endpoint Riemann sum is? The rectangles in the graph illustrates a right endpoint Riemann sum for f(x)=−(x^2/4)+2x on 46. ## Calculus 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 of this left endpoint Riemann sum? The rectangles in the graph illustrate a right endpoint Riemann sum for f(x)=(x^2/8) on the 47. ## Maths 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 right Riemann sum of f(x)=x+3 when using 3 rectangles in the range [−3,−1]? 3. What is the left Riemann sum of f(x)=−2x+1 48. ## calculus consider the function f(x)= x^2/4 -6 Rn 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 49. ## calculus Let f (x) = 5 - x/2. What is the value of the Riemann sum R(f ,0,8), obtained by using four rectangles and left-hand endpoints? 50. ## Calculus Find the Riemann sum for f(x) = sin x over the interval [0, 2π], where x0 = 0, x1 = π/4, x2 = π/3, x3 = π, and x4 = 2π, and where c1 = π/6, c2 = π/3, c3 = 2π/3, and c4 = 3π/2. 51. ## calculus Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round answers to four decimal places.) f(x) = e^−x over [−6, 6], n = 6 52. ## Math 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 Riemann sum for the definite integral F(x) dx from x=0 to 6 Find F(x) and the limit of these Riemann sums as n tends to infinity. 53. ## statistics the following data represents the percentages of family income allocated to groceries for a sample of 50 shoppers: percentage of family income #of shoppers 10-19 6 20-29 14 30-39 16 40-49 11 50-59 3 1.calculate the value of mean 1.1 meadian percentage of 54. ## Math Let f : [a,b] → R be a Riemann integrable function. Let α > 0 and β ∈ R. Then define g(x) := f(αx+β) on the interval I = [1/α(a−β), 1/α(b−β)]. Show that g is Riemann integrable on I 55. ## Calc (1/1+(4/n))(4/n)+(1/1+(8/n))(4/n)+(1/1+(12/n))(4/n)+....+(1/1+(4n/n))(4/n) is a right Riemann Sum for a certain definite integral. Integral 1 to b, f(x) dx. using a partition of the interval [1,b] into n subintervals of equal length. Then the upper limit 56. ## Statistics Find the probability that the sum is as stated when a pair of dice is rolled. A.4 or 11 or doubles B. 8,given that the sum is greater than 4. C.Even,given that the sum is greater than 4. A. 4 can be obtained by 1&3, 3&1 or 2&2. 11 can only be obtained by 57. ## Calculus Reimann Sum Approximate ∫_-2^3(x+3)dx via the Riemann sum. Use the partition of five subintervals (of equal length), with the sample point barx_i being the right end point of the i-th interval. I attempted this problem and got -40/3, but it's not being accepted. I'm 58. ## Calculus find a Riemann Sum formula for evaluation points that are one-third of the way from the left endpoint to the right endpoint. 59. ## Calculus Find a Riemann Sum formula for evaluation points that are one-third of the way from the left endpoint to the right endpoint. 60. ## math Find the partial sum S_n for a geometric series such that a_{4} = 216, a_{9} = 52488, and n = 10. 61. ## math, calculus 2 Consider the function f(x)=-((x^2)/2)-9. In this problem you will calculate integrate from 0 to 3 of ((-x^2)/2)-9)dx by using the definition integrate from a to b of (f(x))dx= lim as n approaches infinity of sum_(i=1)^n of (f(x_i))(delta x) The summation 62. ## maths- The remainder obtained by dividing x^2 -3kx +2 by ( x+2) is twice the remainder obtained by dividing x^2 +3x –k by ( x+3). Find the value of k 63. ## math t (seconds) 1 3 4 7 v(t) (meters/second) 20 32 42 52 The table shows the velocity (in meters per second) for an object over the interval [1.7]. Estimate \int^7_1v\left(t\right)dt∫17v(t)dt using 3 subintervals and the Left Hand Riemann Sum. 64. ## Statistics A simple random sample of 50 female 14-year-olds is selected. The sample mean height of the girls is found to be 62 inches. Assume the height of 14-year-old girls is normally distributed with a standard deviation of 5 inches. 1. Based on these data, a 95% 65. ## calculus Evaluate the following limit by first recognizing the sum as a Riemann sum for a function defined on [0, 1]: lim 10/n ( (1/n)^1/2 + (2/n)^1/2 + (3/n)^1/2 +.....+ (n/n)^1/2 ) n----> infinity 66. ## proof by induction proof by mathmatical induction that the sum of the first n natural numbers is equal n(n+1)/2 It's true for n = 1. Assume that it is true for some n. Then the sum of the first n+1 natural integers can be obtained by dding the last number n+1 to n(n+1)/2. 67. ## chemistry When 1.24g of an organic compound with the formula CxHyOz is burned in excess oxygen, 1.76g of carbon dioxide and 1.08g of water vapor are obtained. What is the empirical formula of the compound? Determine the moles of CO2 in 1.76grams, that will give you 68. ## math Hi 2 math questions: 1. Is the sum of the same as adding the two numbers? the ? the sum of 14 and 16 2. Is the quotient the same as dividing.. the ? the quotient of 114 and 6 Sum is adding, quotient is dividing. 69. ## Algebra The following problem refers to a geometric sequence: If a_1=-2 and r=-1.Find s_28. This the formula was given by my instructor: S_n=a_1(1-r^n)/1-r =-2(1-(-1)^28)/1-(-1) =-2*2/2 =-4/2 =-2 where did I go wrong? Can You help me correct it please. Help me 70. ## math find the interval of convergence of the sum of ((x^1/2)/2 - 1)^k from k = 0 to infinity and within this interval find the sum of the series as a function of x. I know the interval is 0 < x < 16 but how do I get the sum? 71. ## calculua consider the integral (4x^2+2x+4)dx from 0 to 6 Find the Riemann sum for this integral using right endpoints and n=3 and Find the Riemann sum for this same integral, using left endpoints and n=3 72. ## Calculus I also have these other four question I need help on please!! 1. The graph of y = f ′(x), the derivative of f(x), is shown below. Given f(4) = 6, evaluate f(0). A. -2 B. 2 C. 4 73. ## calculus 2 f(x) = { 2 if x ! [0, 1) −1 if x = 1 3 if x ! (1, 2] −5 if x ! (2, 3) 20 if x = 3 } Prove that the function is Riemann integrable over [0, 4] and calculate its Riemann integral over [0, 4]. 74. ## calculus(Lab) Well, first graph the graph of f(x)=-1/10x^2 + 3 2. We are going to approximate the area between f and the x-axis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first quadrant, just most of it. Draw 75. ## College Algebra 1.Answer the following for the given quadratic function. f(x) = -2x^2 - 8x - 13 (a) does the graph of f open up or down? (b) what is the vertex (h,k) of f? (c) what is the axis of symmetry? (d) what are the intercepts? (e) how is the graph suppose to look 76. ## calc If f(x) = 3x^2 − 2x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints. 77. ## Calculus The following Summation 1 2 1 2 1 2 ------ x - + ------ x - + ------ x - 1+(2/n) n 1+(4/n) n 1+(6/n) n is a right Riemann sum for this integral ç f(x)dx With subintervals [1,3] can someone help me solve for the inegrand which is f(x).? 78. ## Calculus Use the Left and Right Riemann Sums with 80 rectangle to estimate the (signed) area under the curve of y=e^(3x)−5 on the interval of [10,20]. Write your answer using the sigma notation 79. ## calculus1 When is the Mid-point rule is the worsted possible option for estimating area ( Riemann sum )? 80. ## calculus given: f(x) = 2-1/4 x Evaluate the Riemann sum for 2 ≤ x ≤ 4 , with six subintervals, taking the sample points to be left endpoints. 81. ## Please can you help me (Statistic)) If the confidence interval obtained is to wide. How can the width of this interval be reduce and which alternative is the best and why? Thank you for your help 82. ## Algebra 2 Find the sum of the first 12 terms of this sequence: 9,4.5,2.25,... I believe that the pattern is dividing the term by 2,and I keep getting 7.9956 for the sum, but that is incorrect. Anyone understand this? 83. ## Math-Stat Help In a random sample of 78 teenagers, 32 admit to texting while driving. Construct a 98% confidence interval for the percentage of teenager that text while driving. Start by showing that conditions for constructing a confidence interval are met. 1) Check 84. ## statistic 1. Past experience indicates that the variance, ¦Ò2x, of the scores, X, obtained on the verbal portion of a test is 5,625. Similarly, the variance ¦Ò2y, of the scores, Y, on the mathematical portion is 2,500. (a) A random sample of size n = 64 yields a 85. ## Pre-calc Determine a general formula​ (or formulas) for the solutions to the equation. Then determine the specific solutions​ (if any) in the interval[0,2π). 2sin^2θ+3sinθ+1=0 86. ## Statistics It is known that the amount of time needed to change the oil in a car is normally distributed with a standard deviation of 5 minutes. A random sample of 100 oil changes yielded a sample mean of 22 minutes. Compute the 99% confidence interval estimate of 87. ## Science/ Chemistry When 0.422 g of phosphorus is burned, 0.967 g of a white oxide (a compound of phosphorus and oxygen) is obtained. a. Determine the empirical formula of the oxide. So for the empirical Formula I got P_2O_5 now it wants me to Write a balanced equation for 88. ## Business A frequency distribution is obtained by A. listing the values in sets of data individually. B. taking the difference between the highest and the lowest value in each set of data. C. summing the values of a set of data and dividing by the number of values 89. ## PRE CAL SEQUENCES Given the following finite sum 1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+....+1/(n(n+1)) a) Find the first 5 partial sums b) Make a conjecture for a formula for the sum of the first n terms c) Use mathematical induction to prove your formula 90. ## Calculus Prove that the function defined by: f(x)={1 if x is rational, 0 if x is irrational is not integrable on [0,1]. Show that no matter how small the norm of the partition, ||P||, the Riemann sum can be made to have value either 0 or 1. 91. ## CALC II Determine the convergence of the following series using the nth-partial sum or geometric series formula. The sum of n=1 to inifitiy 1/(9n^2+3n-2) How do I start? I'm guessing I should factor out the denominator but whats after that? It is close to a 92. ## Chemistry The question says: when .422 g of phosphorus is burned, .967 g of a white oxide is obtained. Determine the empirical formula of the oxide. I did the calculations and got that there would be 1 mole Phosphorus and 4.29 mol Oxygen. To get the empirical 93. ## Math Consider the function f(x)=x^3. In this problem we will find A=(integral from 0 to b) x^3 dx of the region under the curve y=f(x) and over the x-axis interval [0,b]. Formulas that I came up with: Delta x =b/N x-sub k= kb/N F(x-sub k)=(x-subk)^3 a-subk= 94. ## Series For what values of p>0 does the series a) Riemann Sum [n=1 to infinity] 1/ [n(ln n)^p] converge and for what values does it diverge? 95. ## Statistics In a game you roll two fair dice. If the sum of the two numbers obtained is 3,4,9,10 or 11 you win$20. If the sum is 5,6,7 or 8 you pay \$20. However if the scores on the dice are the same no one is required to pay. (a) Construct a probability distribution

Construct an example of two Riemann integrable functions whose composition is not Riemann integrable.

97. ## Calculus

Calculate the Riemann sum of the area under the curve of f(x)=9-x^2 between x=-2 and x=3 The answer I come up with is 10/3, but when I solve using integrals, the answer I get is 100/3. Am I doing something wrong?

98. ## Calculus

Can someone help and express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx.

99. ## Calculus

Express the given integral as the limit of a Riemann sum but do not evaluate: the integral from 0 to 3 of the quantity x cubed minus 6 times x, dx.

100. ## Calculus

Set up a Riemann sum to estimate the area under the graph of f(x) = 5x 2 + 2 between x = 0 and x = 1 using 3 subdivisions and left endpoints. Draw the graph and the 3 rectangles