Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of a, b, c, and d. a= b= C= d= + cx + d has a local maximum at the point (0,0) and a local minimum at the point (1,-6).

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A: we know  Lsin(kt)=ks2+k2Lcos(kt)=ss2+k2given  f(t)=sin(2t)+cos(2t)

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A: Given information altitude ( A ) = 34 cm Base ( B ) = 46 cm let Area = A

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A: The function is given by y = 3cos8x+6 To evaluate: the expression of dydx.

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A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

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A: To evaluate the integral ∫3x2 lnx dx by using integration by parts technique.

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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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A: standard form of line is y=mx+c,  where m is slope dxndx=nxn-1d(constant)dx=0

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A: Given query is to find the polar equation.

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A: We can evaluate the absolute maximum and absolute minimum value by using the concept of derivatives.

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Q: 5) Given f(2) = 3, f'(2) = | of H(x) = f'(x), thun H'(3) squale, 새ㅎ B) ㅎ 엊 미ㅊ E) |

A: Given query is to find Indicated derivative.

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Q: y = ln x, xy = 4, x = 1, x = 3

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

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Q: 6) Show that (2xy, 2yz + is conservative.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Find the derivative of the function. s=(3-1)(1+1²)-1

A: Given,            s=3-t1+t2-1To find : Find the derivative of the function.

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Q: Find the exact value of cos( O 1 V2 O √3 2 0 -13 O 12 2 큼 -9 4

A: We can find the exact value in the below steps.