A curve has implicit equation 3x² y - 5y = 2(x + 8) x ER, YER, y # 0.

Q: Where is the line y=5-2x closest to the origin. Use optimization

A: Identify the point (x0, y0) on the line y=5-2x that is closet to the origin.

Q: Find the equation of the line in slope intercept form parallel to 3x - 4y = 2 and goes through the…

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Q: Find the equation of the line perpendicular to y=−2y= through the point (3,2)

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Q: What is the general Cartesian equation of the line that intersects the X axis at the point (9,0) and…

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Q: How would get a slope-intercept equation with y=1/5x-4 and (-4,-8)?

A: See the details solution in below

Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: What is the y-intercept of y=csc x?

A: y=cscx

Q: Does (2, 2) make the equation y = 3x true?

A: The objective of this question is to determine whether the point (2, 2) satisfies the equation y =…

Q: Give the slope-intercept form of a line perpendicular to y=2/3x+1 passing through (-2,3)

A: Given equation of line: y = 23x+1and Point (-2, 3)

Q: The equation for the line that passes through the point (1,0) and perpendicular to the --1 is line x…

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Q: Find an equation of the line passing through the point (2,1) that is perpendicular to the line…

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Q: Find the point on the graph of the equation y = x³ that is nearest to the point (8,0).

A: Let (x, y) be any point on the curve                y = (1/4)x3. . . . . . (1)  Distance of the…

Q: Sketch the curve of y= 3x-10x³-12x²-7

A: The objective is to sketch the graph.

Q: What are the graphs of the constant functions x = x0, y = y0, and z = z0 in the rectangular…

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