5 Given •√³ (3x² (3x² – 2x) dx = 100, approximate the value of this integral using the midpoint rule with 16 subdivisions. Determine the absolute error.

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A: n(x)=x8+7x4x5

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Q: 7 If p is an odd number greater than 1, show that (p-1)(2)-1 is divisible by p - 2. [Hint: Let p= 2n…

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Q: m/s.

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Q: Find the derivative of f when f(x)= 3tan an-¹+51 +5 ln(16+x²).

A: given function is :- f(x) =3 tan-1x4+5ln16+x2then we have to find its derivative now ,     f'(x) =…

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A: Solutions: Given data,

Q: 2. lim 21+ 3 ln x 3 1

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Q: I. y = (x² + 2)² (x²+2x+1)

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Q: Consider the following. Let u = du = [²x²( 3x³ - 1)* dx : 3x3 11 15 - 1. Find du. dx Indicate how…

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Q: Identify the theorems and/or identities that justify each step in the derivation below. If A and B…

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A: Let temperature denoted by = T so given temperature changing rate dTdt = ( -18e-0.6t )

Q: a. 1 eªte0.5x e2x So - dx

A:

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform (7₁ lo, t≥ 5 L{f(t)} = f(t) L{f(t)} = =…

A: The given data is: ft=7, 0≤t<50, t≥5  Find Lft

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Q: Consider the following. y = 3x³ - 27x² + 5 (a) Find the critical values of the function. (Enter your…

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Q: U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…

A: Given rate R( t ) = 0.063t2 - 0.48t + 3.87 Given t = 0 for 1900

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Q: 1. A cone is constructed by cutting a sector from a circular sheet of metal with radius 20 cm. The…

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A: As given the girl walking away from pole with a speed of 7ft/sec.Height of the pole is 18ft and girl…

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Q: An equation and its graph are given. y = x² + 3 -2 y 8 4 2 Find an inequality whose solution is the…

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Q: Solve the initial value problem by Laplace transform y"-y'-2y=e", y(0) = 0, y'(0) = 1,

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Q: Suppose that an office chair costs $50 in 2017, and $52.90 in 2018. Office chairs continue…

A: Given: The price of an office chair was $50 in 2017 and $52.90 in 2018. Office chairs continue…

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A: see below the answer and explanation

Q: 41 Find the product z₁z2 and the quotient Express your answers in polar form. Z2 Z₁ = √2(cos(60°) +…

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Q: Determine all inflection points. 5x In (5x), x>0 ... What are the coordinates of the inflection…

A: Let f( x ) = 5xln( 5x )

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Q: Given the function f and point a below, complete parts (a)-(c). f(x) = 2x², x ≥ 0, a = 4 a. Find…

A: Use the basic concept of derivative and put the given value then simplify.

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Q: Find parametric equations for the curve with the given properties. The line with slope -2, passing…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy² + 2xy…

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