Use a Riemann sum to approximate the area under the graph of f(x)=2x3  on the interval 2≤x≤4 using n=5 subintervals with the selected points as the left end points.

Q: Use the trapezoidal rule with five subintervals to approximate the area described by the integral…

A: To use the trapezoidal rule to approximate the area described by the below integral. ∫01sinh2xdx

Q: Use a finite approximation to estimate the area under the graph 1) f(x) = 9 - x2 between x = -3 and…

A: Solve the following

Q: Estimate the area under the curve by calculating the lower sums from x = 0 to x = 2 with n = 2.

A: Given Data: The expression to estimate the area under the curve by calculating lower sums is,…

Q: Estimate the integral using a left-hand sum and a right-hand sum with the given value of n.

A: Given definite integral to estimate by left hand and right hand  Riemann sum.

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

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Q: Estimate the area under the curve by calculating the upper sums from r = 0 to r = 2 with n = 2.

A: Consider the given function whose area under the curve is required to calculate.

Q: Use midpoint Riemann sum with n=4 to approximate the integral So (x² + 1 )dx

A: Riemann Sum

Q: Use a Riemann sum to approximate the area under the graph of f (x) on the given interval, with…

A: The midpoint rule is given as…

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

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Q: ) THE PROBABILITY DENS ITY OF THE CONTINUOUS 1RANDON VAeMBLE GNEN BY for 2<x<7, f(x) = } 5…

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Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A: Given: f(x)=1x,        a=4 and b=8,  n=2 (two rectangle)

Q: Find the area A under the curve y=x2 on the interval [0,3] by calculating the right Riemann Sum for…

A: Width of each interval = (3-0)/n= 3/n So the right Riemann sum is:

Q: Write the integral of the region as the limit of a Riemann Sum with intervals of equal width and…

A: First let us understand what is Reimann sum? Reimann sum is a certain kind of approximation of an…

Q: State the Comparison Theorem for Improper Integrals. As well, use it to determine whethe I+ 2 dr…

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Q: Use a trapezoid Riemann Sum (with four non-zero sub intervals) to approximate the area bounded by…

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Q: Estimate the area under the curve by calculating the lower sums from x = 0 to x = 2 with n = 2. %3D

A: Riemann Sum:The midpoint rule (also known as the midpoint approximation) uses the midpoints of a…

Q: Estimate the area under the curve y = x2+1 between x = 0 and x = 1 using Reimann Sums 4 rectangles…

A: Consider the curves, y=x2+1,n=4,  Interval:0,  1Δx=1-04=14x0=0,  x1=14,  x2=12x3=12+14=34x4=1

Q: Estimate the area under the curve by calculating the lower sums from x = 0 to x = 2 rith n = 2.

A: Graph the given equation  To find the area under the curve 0 to 2 we consider to rectangles at x=0…

Q: Approximate the area between f(x) = x+2 and the x-axis from x 1 to x 7 using a trapezoidal sum with…

A: fx=x2+2,  x=1 ,  x=7,  n=3. Here, h=b-an⇒h=7-13⇒h=2 Therefore the subintervals is, 1, 3, 3, 5, 5, 7…

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 20 integral…

A: Error bound for Trapezoidal rule: Error in Tn ≤M(b-a)312n2, where M is the maximum value of |f''(x)|…

Q: Find the area of the region bounded by the image, the x -axis and the line x = 10  using Right…

A: For the given values of a, b, c and d, we get, f(x)=3.976log6(3x-10) We need to find the area of the…

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

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Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

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Q: Evaluate the approximated area under the graph of y 100x2 from x=1 to x=3 by using left boxes method…

A: Given y=100x2To evaluate ∫13100x2dx for n=4let A=∫13100x2dx…

Q: Use a Riemann sum to approximate the area under the graph of f(x) = 2x2 on the interval - 2 SXs2…

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Q: 4. Use a right-sum and left-sum, with 4 subintervals each, to estimate the area under the curve of y…

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Q: Use the Trapezoidal Rule to approximate the area using 8 sub intervals for g(x) : = –3x² + 2x – 1 on…

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Q: Use a trapezoid sume with n=1 to estimate the area of the region trapped between f (x) = sin x +1 on…

A: Given,         f(x)=sinx+1;          0, π2

Q: Estimate the area under the curve by calculating the upper sums from x = 0 to x = 2 %3D with n = 2.

A: Consider the following function: fx=2-x-22 Area of the curve: A=∫abfxdx Substitute a=0 and b=2 in…

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A: solved  given problem follow step below.

Q: Find the area of the region bounded by and the x -axis using Midpoint Riemann Sum with 8 equal…

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Q: Use a right-endpoint approximation to estimate the area under the curve f(x)=4x3+3 over the interval…

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Q: Estimate the area under f(x)=x2 on the interval [0,10] using the midpoint Riemann Sum for n=5.

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Q: Use a Riemann sum to approximate the area under the graph of f(x)=2e−x on the interval 1≤x≤2 using…

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Q: Approximate the area under the curve f (x) = x + x² over the interval [0,4] by computing L4, and R4.…

A: To approximate the area by computing L4 and R4

Q: Estimate the following integral using a Right-hand Riemann sum with 4 equal subintervals. .2 2 - dx…

A: The given integral is ∫022-x2dx. Consider the function fx=2-x2  on 0,2. Given that number of…

Q: use a riemann sum to approximate the area under f(x) = x^2 on the interval [0,1]. let n =3 and use…

A: The given question is solved below

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A: The function is f(x)=1x between x=1 and x=6. The rectangle are divided into two with equal width.…

Q: Find the absolute makimum/minimum values of the function fCx)= x6-x) over the intenval 1Ex<5

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Q: The Simpson's nule of numerical integration applies, if number of subintervals (n) is a multiple of

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Q: Find the area of the region bounded by f (x) = a 20 – 3x – 2x2 and the x -axis using Simpson's Rule…

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Q: Estimate the area of the region bound by the graph of f(x) = x^2 + 3x and the x-axis on [2,5] using…

A: The solution is given below

Q: Approximate the integral by the right Riemann sum, using a partition having n = 9 subintervals of…

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Q: 4 Estimate the area between the function y = + 3 and the a-axis on the interval [3, 7] using 4…

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Q: Suppose that y = f(x) is integrable over a closed interval [a, b], state the integral formula for…

A: By upper and lower durbox sum we can defined the integration

Q: ______  is the z-score such that the area under the curve to the left is 0.93

A: Given info: The area under the curve to the left is 0.93.

Q: Find the approximation of the area under the curve using 4 trapezoids. Use the function y = x2 - 4x…

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Q: The area under the curve y = x² from x = 1 to x = 4 by using the left endpoints is an underestimate.…

A: Select which one is correct i.e., given statement is true or false :-

Q: Calculate the area under y = x^2for 0 ≤ x ≤ 4 using a Riemann sum with n = 8 and left endpoints

A: Width of each subinterval = (4-0)/8= 4/8 = 0.5  So the partitions are 0, 0.5 , 1 , 1.5 , 2 , 2.5 , 3…

Q: Approximate the area under the curve y = x² from z = 1 to z = 3 using a Right Endpoint approximation…

A: Given the curve y =x2 from x = 1 to x = 3  We have to approximate the area under the given curve by…