20.) Find the linearization, L(x) ,of f(x)=x*+3x² values of f(x) when x=-1 , x=-1.1, x=-1.5 , and x=-2 at a=-1 . Compare values of L(x) to 6.

Q: 4. Find the orthogonal trajectories of the given family of curves. y = cx'.

A: Solution:-              y=cx3 →          1              Diff. w.r.t x            ⇒dydx=3cx2…

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A:

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A: Given, f(x)=1x, a=0.9 now find linearization f(0.9)=10.9=109 so linearization at 910,109…

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A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

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Q: ATTACHED THANKYOU

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A: solution is given below...

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A: Consider the provided question, According to you we have to solve the part (b), (c) and (d). (b)

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Q: Find the linearization of ƒ(x) = √1 + x at x = 0

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Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: The given function is: f(x)=mx+bSo,f'(x)=m

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A: Given, fx=2x3-3x+7

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Q: Find the linearization of ƒ(x) = 2x at x = 0. Then round its coefficients to two decimal places.

A: Given function is,

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A: You must have an idea about to how to find relative maximum or minimum using critical points.