For the cubic polynomial function f(x) = ax³ + bx? + cx + d, find a, b, c, and d so that 0 is a critical number, f(0) = 9, and the point (1, –1) is an inflection point of f.

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A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

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A: Use ratio test

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A: Since you are asking multiple questions. We are answering only the first question as per our guideli...

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A: Plot the point (r,theta)= (-4,159) 

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A: As per our guideline if multiple questions are posted we are supposed to answer only the first one. ...

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A: Given: (1)  w = 4x4+6x3y2+2x2y3+y4   (2) w  = cosh5cotxy

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Q: Hw Find and Jw fok the following functions w-ex sincxty}

A: To find the partial derivatives for the given functions.

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A: Here, note that -1≤cos(nπ)≤1 So, -e-n≤e-ncos(nπ)≤e-n...(1)

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A: In this question we will use basic concepts of calculus i.e concept of limits. Solution of the above...

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Q: 5. lim f(x) = +∞, lim f(x) = 0 6. lim f(x) = +∞, lim f(x) = 0 x → 1+ %3D x →1- x → 1+ x→1- and f(-1)...

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Q: 12. lim [(x 5) - 3x] isOHOAHOH 3OH2 UA a. lim (x 5) + lim 3x IROCORO b. lim (x- C. X-5- lim 3x X-a -...

A: 12)limx→a[(x-5)-3x] = limx→a(x-5)-limx→a3x13) limx→1x2-2x-3x-2=12-2.1-31-2limx→1x2-2x-3x-2=1-2-3-1li...

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Q: Exercise (2) If A and B are any (2x2) matrices. 1. C=A'+B

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

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Q: ACTIVITY 1: Practice ! Apply differentiation rules in finding the derivative of the given functions....

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A: We have to explain why product rule is important.

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A: We have to find derivative dy/dx.  

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A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Find the minimum and maximum values of the function f(x, y, z) = 5x + 6y + 4z subject to the constra...

A: Here we have f(x,y,z)=5x+6y+4z subject to the constraint x2+6y2+6z2=1 Let g(x,y,z)=x2+6y2+6z2-1

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A: Solution: ∫-3dy2y2+14y+70 Take out the common -32∫1y2+7y+35dy

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A: We need to transform graph.

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assum...

A: Let's find. 

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A: Explained below 

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A: Given:   P(2, -2, 1) Q(3, -1, 1) R(3, -1, 1)

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A: We have to solve given integration