5. Find the Cartesian equation of the plane that has a z-intercept of 3, a y-intercept of -2, and is perpendicular to the plane that contains the following lines: L1: (x, y, z) = (1, -2, 0) + m(0, -3, 2), me R L2: (x, y, z) = n(-2, 0, 1), neR %3!

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Q: continuity

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A: We will prove this by definition of limit as follows 

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A: Let's find. 

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A: LetI=∫ e2xcos3xdxApply integration by partI=e2x∫cos3xdx-∫ddxe2x∫cos3xdxdxI=e2xsin(3x)ddx(3x)-∫e2xddx...

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A: We have to choose correct option

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Q: Prove that lim (9x* - 25) = -9

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A: a)a→=-3 i + 8 jUnit vector as the same direction;u= a→a→ =(-3 i + 8 j)(-3)2+(8)2u=(-3 i + 8 j)73u=-3...

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A: SUM OF GEOMETRIC SERIES

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

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A: f(x)=3x-10f'(x)=limh→0f(x+h)-f(x)h

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A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

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A: For a given number n, to create a mask for trailing zeros, we can use the expression: (n &amp; - n) ...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...