The local linear approximation for f (x) = Vx2 + 16 near x = -3 is

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A: See the details solution in below

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A: 1st Part:  Given data is: f(x)=4x+3    and  g(x)=5x2+3x     

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A: Given r=10

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A: As per our guidelines, we are supposed to answer only one question at a time.   Given data are: Diam...

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A: I am attaching image so that you understand each and every step.

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Q: quation. Do not simplify.)

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A: This is a integration problem

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A: We complete the squares of given quadratic equations and solve for x  When take the square root on b...

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A: To evaluate: I=∫03dz2z9z2-4...(1)

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A: Given:- x2 -xy +y2=3 To find:- y'' 

Q: (b) Explain why the integral e x'dx is convergent.

A: Improper integral : If f(x) is continuous on [a,∞) , then the improper integral of f over [a,∞) is  ...

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A: I am attaching image so that you understand each and every step.

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A: we have given(ey+1)2e-y dx +(ex+1)3e-x dy= 0

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A: I am attaching image so that you understand each and every step.

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A: Even and odd function 

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Q: For real number p, let f and g be defined by f(x)= e¬*x³ and g(x)=1/xP, respectively on [1,0). f(x) ...

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Q: 1. lim x +2x2 + 3x +7 X-3 2. lim (7-8x) (9x-11) x+2 3. lim 3x2 - Vã + 4x + 27 X-8

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

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Q: To test this series for convergence n° +1 1 where p no You could use the Limit Comparison Test, comp...

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

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Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin ...

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A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Determine the average rate of change of the function on the given interval. 2) f(x) = 3x2 + 3 on [3,...

A: Given query is to find Average rate of change for the given interval.