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Given the function f(x) = 242, compute the left-endpoint (Riemann) sum using n = 3 on the interval [-3,3].
L₂ = help (numbers)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7dcbfcd-ec40-4419-b8e9-2a693a942e70%2F1d628782-4689-48e7-bcf5-c76ffb90b5ef%2F4xkk8x8_processed.png&w=3840&q=75)
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- Expand/Write out (but do NOT calculate) the Riemann sum, Rs, for the function f(x) = 1 - |x| on the interval [-1,14]. Use the function explicitly.Can you help me with this Thank you Riemann sum for f(x) =2x on the interval [ 1,3]. The value of this Riemann sum is _____Evaluate the Riemann sum for f(x) = x3 − 6x + 2, taking the sample points to be midpoint and a = 0, b = 4, and n = 8b) Find the exact value of ∫03 f(x) dx using Riemann sum c) Find the exact value of ∫03 f(x) dx using the Fundamental Theorem of Calculus
- (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.Find the area (in square units) of the region under the graph of the function f on the interval [1, 5], using the Fundamental Theorem of Calculus. Then verify your result using geometry. f(x) = -1/5x+1 (negative one fifth) _______ square units
- (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.Where is the function continuous? And find the critical number/s. Show your solution.Consider the function f(x)=2x on the interval [0,10]. Let P be a uniform partition of the interval with n sub-intervals.a) Express the right Riemann sum as a function of n.Right-Sum: b) Compute the limit of the right-sum you found as n approaches infinity.L= c) Compute the definite integral using the antiderivative. Make sure you show all steps and use correct notation. 0∫10 2xdx d) Draw a picture and use geometry to find the same integral as area under the graph
- Find the area in square units of the region under the graph of the function f on the interval[-10,5] using the fundamental theorem of calculus then verify the result using geometry f(x) = 5Approximating the displacement Suppose the velocity in m/s of an objectmoving along a line is given by the function v = t2, where 0 ≤ t ≤ 8. Approximate the displacement of the object by dividing the time interval [0, 8] into n subintervals of equal length. On each subinterval, approximate the velocity with a constant equal to the value of v evaluated at the midpoint of the subinterval.Divide [0, 8] into n = 8 subintervals of equal length.( a) The differences between the Z- interval and T- interval. (b) What determines when to use Z interval and T interval