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Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: Graph the function along with secant lines AP, BP, CP where A = (0, 9) B= (1,7) C = (1.5,4.5) P =…

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Q: Trace the curve x^3 − 6x^2 + 11x − y = 6.

A: Given- x3-6x2+11x-y=6 To draw- The graph of the above function. Concept used- The above expression…

Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: =a(x-1)^2+2 passes through the points (10,-160) A=

A: NOTE: Refresh your page if you can't see any equations. . the point (10,-160) is on the graph so…

Q: Distance between (9x,-11x)and(4x,x)

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Q: Find the Harmonic conjugate of 3x^2 y-y^3 and construct the respective analytic function.

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Q: Points (-1/3 , 0) is given. Find the slope of the curve y^2=3x+1.

A: We have to find the slope of the curve at the given point where equation of curve is y2=3x+1 and…