Example 1.2 a point A on the parabola x = y? on the xy plane, a point B on the line y = x +1 getting. For which points A and B will the distance AB þe the minimum?

Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: Circles and parabola are functions A. True B. False

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Q: Q 1. Which of the following parabolas will have a minimum value? Select all that apply. 1 y = 7x –…

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Q: Q1. Find the equation of sphere whose center is at (4,-1, 7) and radius is 5.

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Q: Find all points where the parabola y = 9 - x² 1 intersects the line y = zx+6. 2

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Q: Dancing on a parabola Two people, A and B, walk along theparabola y = x2 in such a way that the line…

A: Given  Two people, A and B, walk along the parabola y = x2 in such a way that the line segment L…

Q: Verify that the mapping z + z², (z e C) will map the line y = -3 to a parabola. Find its Cartesian…

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Q: If the parabola y=x^2+C is tangent to the line y=4x+3, find the value of C. a. 5 b. 6 c. 6

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Q: Draw a diagram showing two perpendicular lines that intersecton the -axis and are both tangent to…

A: The given parabola equation , y=x2. To draw two perpendicular lines that intersect on the axis and…

Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

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Q: The figure shows two lines: One line is the secant line between the origin and a point P on the…

A: Given the figure:

Q: Find the shortest distance of the point (10,4) to the parabola y=x2

A: Consider a  point on parabola  y=x2. Distance of this point with (10,4) s2=(x-10)2+(y-4)2…

Q: .2 .2 x + 20x + y + 16y = -20 The equation above defines a circle in the xy-pla What are the…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.