There is a line through the origin that divides the region bounded by the parabola y = 7x - 2x² and the x- axis into two regions with equal area. What is the slope of that line?

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =1- x².…

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Q: Sketch the graph of quadratic surfaces. Y=(x^2+3z^2)^(1/2)

A: We need to plot the surface: y=x2+3z2.

Q: equations y = 4 - x - x² and y = 2. Let A and B be the points at which the curve and the line…

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Q: (d) A line through the origin divides the region bounded by the parabola y= x – x² = x(1 – x) and…

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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: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…