The diameter of a sphere is measured as 100 ± 3 cm and the volume is calculated from this measurement. Estimate the percentage error in the volume calculation. There is approximately % error in the volume calculation. (Simplify your answer.)

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A: see below the answer and explanation

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A: Critical points are points where the function is defined and its derivative is zero or undefinedGive...

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A: Check firstly it is Exact or Not.

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A: Given :   The second derivative represent the rate of change of 1st derivative ?

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A: Given that: To demonstrate the idea of infinite limitThat is, the idea of sequence of a real numbers...

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Q: 2. The degree of the differential equation 5x +Sy =0s dr

A: We will find the degree of differential equation in the following step.

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A: Given problem:- If f(x) = x/ex find the equation for the tangent line to f(x) at x=0

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A: Given :3(1+7g)

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A: Here, to write the other method to find the arbitrary constant of the differential equation.

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A: Formula ∫ 1/(1+x2)dx = Tan-1(x) Trepizoidal rule I = h[f(xo)+ 2[ f(x1)+f(x2)+f(x3)....]+ f(xn)]

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A: Given y=ln(ln x)             y=ln(ln x).y'=ddx(ln (ln x))y'=1ln(x) . ddx(ln x)y'=1ln(x) . 1xy'=1x . ...

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A: y=2ln(2+x3)  

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

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A: Here,          an=limn→∞-1n+1x-4n+1n+12+10-1nx-4nn2+10   =limn→∞ -x-4n2+10n2+2n+11   =limn→∞ x-4n2+1...

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A: Use formula of integration by parts.

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A: We can find the integral as below using substitution method

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A: This question is based on indefinite integral.

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A: Let's find. 

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A: Topic = Algebra As per guidelines , At a time only three sub-parts can be answered.

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A: We are authorised to solve only one question with 3 subparts, please repost remaining questions Comp...

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