Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative test. The first value will be the relative maximum and the second value will be the relative minimum.

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

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A: 1. f(x)= 3x x 0.99 0.999 0.9999 1.01 1.001 1.0001 f(x)= 3x 2.96722 2.996706 2.99967 3.03314 3.0...

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Q: End the solution and dyined the interpal at which function is depince dx

A: Given that xdydx+y=1y2Solution :xdydx+y=1y2xdydx=1y2-yxdydx=1-y3y2y21-y3dy=dxx∫y21-y3dy=∫dxxlet, 1-y...

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A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

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Q: 1. lim 3" 2. lim 5* 3. lim log r エ→4 4. lim cos r

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Q: Question 3 ) For the function 4Vi + 2t + 1 f(t) = consider the definite %3D integral 2 - f(t) dt. a)...

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Q: ould you please explain this to me please? What is the derivative (d/dx):  y=3log8(log2(x))   (y...

A: We can find the derivative as below

Q: The sec?ytanydy 4 + tan²y is equal to In(4 + tan?y) + C A. 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y) +...

A: LetI=∫sec2ytany4+tan2ydySubstitute , u=4+tan2yDifferentiate on both sidedu=ddx(4)+ddytan2ydu=0+ddyta...

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Q: find the slope of the tangent line to the graph of flx)= 2x at (5,3).

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the line, take the d...

Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t ...

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A: The given data is: At 0,3, the function fx,y=1-x3+6x2+y2-6y.

Q: 1. S[3 + tan(4x²)J²xdx

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