Find the derivative of each function by using an appropriate differentiation rule. 1) F(x)= sin(3 ln x) 2) G(x)= sin(x^5) + ( cos x )^4 3) H(x)= (( lnx )/ (x^5)) use quotient rule

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A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x) different...

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A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at 

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A: We know the following. From the given focus and vertex, we observe that we must have b=3, a=4, h=3,...

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A: w=fx,y,z ; x=gr,s,t, y=hr,s,t, z=kr,s,t

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A: Since, you have posted multiple questions, as per guidelines we will solve only first question. If y...

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Q: 2 Given f(x.y) = x?y-3xy³. Evaluate fdy O 14y-27y +C 6. O -6y³ +8y/3+ c 6x2 – 45x + C 4 2x2 – 12x+ C

A: Given that a function:  f(x,y) = x2y - 3xy3  And we find value of integration that has limit 1 to 2....

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Q: 5n-3 Find the sum of the series: n!

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A: The tangent line to y=f(x) at (-1,-8) passes through the point (-7,5) 

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Q: 23 = 24 = a5 = In(n) lim = -0 n+ 1 Enter DNE if limit Does Not Exist.) Does the sequence converge ye...

A: The given sequence isln(n)n+1n=1∞ and an=ln(n)n+1.

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the volume of the solid with the base is the region enclosed by the parabola y = 1– x? and the ...

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A: We know that; The Taylor series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+… Where: centered at a or x=a...

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Q: Find the general solution to the differential equation. y' = 6xy2 y

A: The given differential equation,         y'=6xy2

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Q: What substitution should be used to solve the integral x²dx 4-9x2 sinu=3x/2 O sec u =2x/3 O sec u =3...

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Q: whether the geom 08. (-7)" – 1 Σ 8" n = 1

A: Solution is given below:

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Q: Let F(x,y) = 2x + 3y . If (x , y) changes from ( 4,7) to ( 6 , 10) , find A F and dF. Enter AF in Bl...

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A: NOTE: Refresh your page if you can't see any equations. . the standard form of the ellipse is given ...

Q: 18 n(n + 3) n 1

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