The base of the solid is a square, one of whose sides is the interval [0, 4] along the the x-axis. The cross sections perpendicular to the x-axis are rectangles of height f(x) = 8x². Compute the (Use symbolic notation and fractions where needed.)

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Q: 5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

A: Topic = Integration

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A: Given: The volume of rectangular box is: V=18 cm3 The rectangular box can be drawn roughly as:

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A: Given,  f(x)=ln(x2+3)-x2+3  By bisection method , we have  f(2)=0.3862944 which is  >0,…

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Q: find the zeros and give the multiplicity  f(x)= (3x+2)^5(x^2-10x+25) x=               (smaller…

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A: In the figure, the strip shows the width of the rectangle perpendicular to x-axis.

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A: f(x)=x3-x-5 have a zero between 1 and 2.

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

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Q: find the root using Regula-Falsi Method (show your table) x-e^-x=0   Ans x=0.567

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a) Verify Rolle's Theorem for ƒ(x)= 2.x' – 8.x + 4 over the interval [0,2].

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Q: Find the critical number of f(x) = 3x^2 - 18x + 4

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Q: 5. Find the absolute maxima or minima for f(x) = x² + 8x + 3 over the open interval (-o, 0).

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A: Given: Let's determine μ2 using cubic interpolation method,  here a=0.6, h=0.1, ε=0.001,ϕι=-2.7

Q: The average pollen count in a certain city on day x of the pollen season is  P(x) = 8x − 0.2x2…

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Q: For f(x) = 4x + 12x, find the number c in (-4, 1) guaranteed by Rolle's Theorem. %3D (Use symbolic…

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Q: Find the number in {x E R:-2<x<2} such that the sum of that number and its square is a maximum.…

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