What is the area beneath the curve y=x2 +1 and above the x-axis from x = 0 to x = 4 by using the Right Riemann Sum using n = 4 and n=8

Q: The density of cars (in cars per mile) down a 24-mile stretch of the Pennsylvania Turnpike is…

A: Given, f(x)=308(2+sin(4x+0.2))

Q: 2. Estimate the area between ( the curve y = x² + 1 and the x-axis over the interval [0, 4]. Use a…

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Q: the fimite in tegral S,c»x'*2) dx by using the Riemana sum Caleulate ly using the Riemann sum

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Q: Use numerical integration to estimate the value of 1 dr. 1 + x TT = 4

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Q: Show that cosh (3x) = 4cosh³r - 3 cosh T.

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Q: Approximate sin(x) dx using a Riemann sum with n 3 terms and the midnoint rule.

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Q: Express the definite integral using summation notation: 4 (3*) dx 1

A: We will convert the given integral into summation notation using Riemann sum ∫14(3x)dx.

Q: Which integral can be approximated by a right Riemann sum where f(x) = 2x3 + 3 on the interval [2,…

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Q: In this question, you will estimate the area under the curve y = 4x3 from x = 2 to x = 4 using…

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Q: a) Estimate the following definite integral numerically by using Simpson's rule. Take n=4 steps.…

A: Sol:- Simpson's Rule Approximation∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+fxn-1, where Δ x = b-an,…

Q: Evaluate x* (1-x3)0/2 dx Select one: 3*1*3*1 , T 8*6*4*2 2 O None 3*1*3*1, T 8*6*4*2 4 7*5*3*1, T…

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Q: Use the total differential approximation to calculate sqrt((3.91)(9.11))

A: Use the total differential approximation to calculate sqrt((3.91)(9.11))

Q: Divide the interval (-1, 1] into four subinterval of equal length and compute the left-endpoints…

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Q: How would I find the UPPER Riemann sum when n=6 for sinx over the interval [0,pi]

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Q: The acceleration in m/s2 of a car is given by a(t)=−t3+t2. Use a right-endpoint Riemann sum with…

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Q: Use the Midpoint Riemann Sum with n=4 to approximate the integral I=5∫−3(1+2x2)dx.

A: Use the Midpoint Riemann Sum with n=4 to approximate the integral I=5∫−3(1+2x2)dx

Q: sec² (1+ /7) dr. 6) Use the substitution u = 1+Va to evaluate the indefinite integral|

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