9. Determine the Cartesian equation of the plane that contains the intersecting lines: -2 y 2+3 x-2 1₁:X-2 = y_z+3 = and 1₂: = 2 3 -3 4 2

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A: The given function f(x)=-2x3+6x2+172x-3

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A: Graph the parabola y=(x^2-100x)/50

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A:

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Q: 4) Find the intervals where the following function is concave down: ππι y = 2sin² (2x) - 4x, x € -

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A: Given: so,       f'(x)=sincosx'         =coscosxcosx'          =coscosx-sinx         =-coscosxsinx

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A: Use the auxiliary equation  and homogenous differential equation.

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A: We have to determine domain

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A: Given: Now,        z=2xy-x2y2  =22tt2-2t2t22  =4t3-4t6

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A: Above question is solved.

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Q: 2. Find y' if y = 7* (log4 x)⁹.

A: The given function y=7xlog4x9