There is a line through the origin that divides the region bounded by the parabola y = 2x – 3x2 and the x-axis into two regions with equal area. What is the slope of that line?

Q: At what point of the parabola is the tangent line parallel to 7x+y-2=0? y=2x^2-3x+1

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A: Given: (12,15)

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A:

Q: t this problem?

A: Consider the given parabola:

Q: There is a line through the origin that divides the region bounded by the parabola y=4x−6x2y=4x-6x2…

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Q: Find the minimum distance from the point (8, 3, 4) to the plane x - y + z = 4. (Hint: To simplify…

A: Let ax+by+cz+d=0 is a plane  Then distance from the  a point (xo,yo,zo) is D= |axo +byo +czo…

Q: There is a line through the origin that divides the region bounded by the parabola y = 2x and the…

A: Answer

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A: According to question given :There is a line through the origin that divides the region bounded By…

Q: Find the shortest distance between the line y - x=1 and the curvex =y.

A: NOTE: Refresh your page if you can't see any equations. . the given line is  compare this…

Q: find the point on the line y=2x+10 that is closest to the orgin, (0,0) What is the minimum distance?

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Q: There is a line through the origin that divides the region bounded by the parabola y = 7x – 3? and…

A: The equation of the line passing through the origin is y=mx where m is the slope of the line. The…

Q: A rectangle is bounded by the x-axis and the parabola y=9-x². What length and width should the…

A: Solution :-   Given,A rectangle is bounded by the x-axis and the parabola y=9-x2Since, y aixs is the…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – the…

A:

Q: There is a line through the origin that divides the region bounded by the parabola y = 3x – 4x² and…

A: The given equation of the parabola is,

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A: Distance between two points in xy-plane can be calculated using the distance formula. For two points…

Q: There is a line through the origin that divides the region bounded by the parabola y = 8x- 32 and…

A: Here we have to calculate the slope of the line  It can be calculated by finding the area and then…

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A:

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A: Given- There is a line through the origin that divides the region bounded by the parabola y = 7x -…

Q: There is a line through the origin that divides the region bounded by the parabola y = 3x – 4x² and…

A: we have been given the parabola y=3x-4x2 to find the points put 3x-4x2=0⇒x(3-4x)=0⇒x=0, 34…

Q: There is a line through the origin that divides the region bounded by the parabola y 7z 5x and the x…

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Q: How many square units is the area of the region bounded by the parabolas y = x^2 and y = -x^2 + 4x ?

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Q: What is the average distance between the parabola y = 7x(20 – x) and the x-axis on the interval…

A:

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Q: There is a line through the origin that divides the region bounded by the parabola y = 4x - 5x² and…

A: Given that equation of parabola y=4x-5x2let ,equation of line y=mx   where slope=m which is devide…

Q: Sketch the region in the xy  -plane defined by the equation or inequalities. -1 <=y<=3

A: -1≤y≤3

Q: There is a line through the origin that divides the region bounded by the parabola y 2x 5x? and the…

A: Shown below

Q: There is a line through the origin that divides the region bounded by the parabola y = 5x – 7x² and…

A:

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Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – 3x and…

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Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or…

A:

Q: There is a line through the origin that divides the region bounded by the parabola y=8x−4x2y=8x-4x2…

A:

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

A:

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x- 3x2 and…

A: Given the parabola : y=7x-3x2Let the line through the origin be : y=mx   , where m is the slope of…

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x – 2x and…

A:

Q: There is a line through the origin that divides the region bounded by the parabola y=8x−6x2 and the…

A:

Q: There is a line through the origin that divides the region bounded by the parabola y=7x-(2(x)^2) and…

A:

Q: What is the average distance between the parabola y = 7x(16-x) and the x-axis on the interval…

A:

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 –…

A: Given data: The given equation of the parabola is y=8-x2. The below figure shows a rectangle is…

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A: From the average of a curve to x axis in an interval.

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Q: The area of the region bounded by the curve y= e2x, the x-axis, the y-axis, and the line x = 2 is…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)^2=2y, the…

A: Solution of the problem as follows

Q: There is a line through the origin that divides the region bounded by the parabola y = 2x-6x and the…

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