Direction: Find the differential equation of the family of curves described. 1. Find the differential equation satisfied by the family of parabolas having their vertices at the origin and their foci on y-axis.

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: A detailed solution is given below

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A: We need to evaluate integral.

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A: f(x)=-103x3-512x2-5x+19f'(x)=-3×103x2-51×22x-5⇒f'(x)=-10x2-51x-5f'(x)=0⇒10x2+51x+5=0By quadratic…

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A: Given problem:- f(x) = (x+2)10/(4x-16)11 To find:- Use logarithmic differentiation to evaluate…

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: Both these questions can be solved by applying the concept of maxima and minima.

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A: We have to use rules of integration to solve the question

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A: To solve the given differential equation.

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A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

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Q: :- 3) y cos 20 2 1 3 a: b: Period: C: d: Phase Shift: 21/3 downi

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A: Substitute the values given in the options and verify.

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Q: ) Given the following derivative function 2x – 5 f'(r) = Þ – I^ what are the critical numbers of…

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