In each part of Exercises 13–14, use parametric equations to describe the solution set of the linear equation. 13. (a) 7x – Sy = 3 (b) 3x - 5x2 + 4x3 = 7 (c) -8x, + 2x2 – 5x3 + 6x4 = 1

Q: Find the intersection point of the line 3x – 2y = 0 and the line passing through (-1, 0) and…

A: equation of one line 3x-2y=0 And second line passing through (-1,0) and is vertical (perpendicular)…

Q: 20) Write an equation of a line perpendicular to y = x - 5, that passes through the %3D point (4, 0)

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Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Find the quadratic function y= ax + bx +c whose graph passes through the given points. (1,- 3),…

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Q: x? + y? = 13 x2 = 1 16 4

A: The given equations are: From equation (i), we get Substituting this value in (ii), we get

Q: If a = i +9j+k and b = i +19j+ k, find a unit vector with positive first coordinate orthogonal to…

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x²-0.01y2,…

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Q: The graph of the linear equation r=y passes through the point: O (4, 4) O (4,0) O(0,-4) O (4,-4) O…

A: Given equation  x=y

Q: Locate root of the equation x +x- 2 = 0 using fixed point method.

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Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: 24. Write parametric equations for the line passing through the point at (-2, 5) and parallel to the…

A: The given equation is  3x - 6y =-8 which can be written as        6y = 3x +8 or, y = 12x + 43 The…

Q: 5 53) Write an equation that is perpendicular to 5x - 3y = 4 and passes through the point (-3, 5).…

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Q: What is an equation of the line that passes through the points (6, 1) and (7, 2)? Put your answer in…

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