1. If y = f(x) is a continuous function for all 0 < x < 6, and f(0) = 1 and f(6) = 7, then which of the following could be false: %3D 1. 6. (a) f(x) has no vertical asymptotes on 0

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A: Given differential equation is 4y' +t y =5 Rewrite it, 4y' +t4 y =5  y' +t4 y =54

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Q: 1 8 (b) Determine the exact locations of the critical number of the function r(x) 3 х — 4

A: As per our guidelines we are supposed to answer only one question.* *Kindly repost other question as…

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A: Take the derivative of f (x)  and equate to zero for finding point of extrema.

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A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5…

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A: Solved below.

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Q: Sketch a graph of each of the following functions that captures the limiting behaviour as t → 0 and…

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Q: *show work*

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.