13. Find an equation for the tangent plane and the normal line to the surface x? + 2y? - 3z? = 3, at the point (2, -1,1)

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A: the solution is all about the concept of mean and median.

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A: Given query is to find the derivative of the expression.

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A: To write that the limit of all polynomial functions f(x) as x approaches a always equal to f(a). 

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A: Let's find. 

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A: FOLLOW NEXT STEP

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A: We have to find the general solution to the given differential equation.

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A: Here, the given DE is: y''+9y'+18y=4xe-5x

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A: Use the substitution √(x+1)=t, you will get your solution.

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A: Given that ∫-3023e1xx3dxSolution :∫-3023e1xx3dxlet ,1x=t-1x2dx=dtat x=-3,t=-13x=0,t=∞substituting th...

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A: Given query is to find derivative of the expression.

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A: Please refer to the image below

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A: Let's find. 

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 81 xp

A: Let,I=∫x2-81x3dxI=∫x2-81.1x3dxI=x2-81∫1x3dx-∫∫1x3dxddxx2-81dxI=x2-81∫x-3dx-∫∫x-3dxddxx2-81dxI=x2-81x...

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A: According to grapha. f1 =2b. limx→2+fx=-3c. f2=1d. limx→0fx=-4e. f3=12f. limx→-1.5fx=0g. f4=2h. limx...

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Q: c) 7 dx [25x² + 4]°

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Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table o...

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

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A: Find your answer below 

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A: Given :f(x)=ln(3x+ln(x))

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A: Put √x=t then solve it. 

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A: we know that r= 6 will give a circle of radius 6 and center at originand angle θ varies from 0 to 36...

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A: This question is based on application of integration.

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A: The given integral is:∫-3x2-2x+1x+2dxWe need to solve the above integral.We will use the method of s...