How to Find the Ordinate of P for Minimum AB in a Quadrant Curve?

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In summary, to find the ordinate of point P on the curve y = 7 - x^2 in the first quadrant so that the line tangent to the curve at P intersects the coordinate axes at points A and B, we need to set up equations involving the coordinates of P and the curve's tangent line. However, without more information or context, it is difficult to provide further guidance on how to proceed.
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leprofece
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P is a point in the first quadrant on the curve: y = 7 - x2 . By P is drawn tangent to the curve, and A and B are points at which cut to the coordinate axes. Find the ordinate of P so that AB is minimum

Answer = 49/8
 
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What have you tried and where are you stuck? We do expect for people to show what they've tried so we have at least some idea where they are in the problem and how we can assist them to proceed...when you just post the problem, we have no idea how to best help you. :D
 
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MarkFL said:
What have you tried and where are you stuck? We do expect for people to show what they've tried so we have at least some idea where they are in the problem and how we can assist them to proceed...when you just post the problem, we have no idea how to best help you. :D

ok If P (x0,y0)
the tangent must be yy0+xx0
the interception of the curve xith x axe is +/-sqrt7 and y = 7
I don't know how to assemble the equations
How can I proceed?
 
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FAQ: How to Find the Ordinate of P for Minimum AB in a Quadrant Curve?

What is the 1st quadrant?

The 1st quadrant is a section of a graph that is located in the upper right-hand corner. It is where both the x and y coordinates are positive.

What is the maximum value in the 1st quadrant?

The maximum value in the 1st quadrant is the point where both the x and y coordinates are at their highest values. This point is typically referred to as the maximum point.

What is the minimum value in the 1st quadrant?

The minimum value in the 1st quadrant is the point where both the x and y coordinates are at their lowest values. This point is typically referred to as the minimum point.

How do you find the maximum and minimum values in the 1st quadrant?

To find the maximum and minimum values in the 1st quadrant, you can look at the graph and determine the highest and lowest points, or you can use mathematical equations to calculate them.

What is the significance of the maximum and minimum values in the 1st quadrant?

The maximum and minimum values in the 1st quadrant are important because they can give insights into the behavior and trends of a data set. They can also help in making predictions and analyzing patterns.

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