Find the vector, parametric, and symmetric equa lines: (a) the line perpendicular to x+7_y-4 with 3 -4

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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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Q: 1. Given f(x)=x+5 and g(x)=x²+8x+15 Sketch the graph of y=- _f(x) g(x) Mark the asymptote(s),…

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A: LetI=∫(3x+1)15dx put  u=3x+1differentiate du=3dxdu3=dxThereforeI=∫u15du3Take constant…

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A: I am attaching image so that you understand each and every step.

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: (b) Prove that the improper integral ]] converges. dr dy (1 + x² + y²)³/2

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Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

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Q: 5. If f f(x) dx = 12 and f f(x) dx = 4, then all of the following must be true a. f f(x) dx = 16 ✓…

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