1. Use right-hand endpoints and n = 4 subintervals to approximate the area under the curve of f(x) = 512 – x³ over the interval [0,8].

Q: Find the total area between the curve of the function f(x)=x−2 and the x-axis over the interval…

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Q: The following exercises deal with the family of functions F() = 2'-Az

A: Given function fx=x3-λx, λ>0 (a) The given function is defined by F : ℝ→ℝ  by fx=x3-λx, λ>0.…

Q: f(x) = 4x² + 5x + 5; [-3, 3]

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Q: . Find the area of region between two functions fix)=sinx, g(x)-cos2x,-끌sxs을 %3D

A: The area between two curves A=∫abf(x)-gxdx sinx=cos2xsinx=1-2sin2x2sin2x+sinx-1=0sinx=-1±1+84=-1,…

Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. Enter…

A: Given:a = -3 b = 2f(x) = 3 + 5e0.8x  Solution:A=∫ab​f(x)dxA=∫−32​(3+5e0.8x)dx Evaluate the…

Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. Enter…

A: Step 1: The provided curve isy=f(x)=6x2+5x+8on the interval [1,3].It is needed to determine the…

Q: Estimate the area under the graph of f(x) : 1 over the interval [- 1, 1] using ten approximating…

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