Help

[ronny]

I need help with the following problem

1) A line passes (a,b) in the first quadrant cut x-y axis at A and B where O is the origin. Find the minimum value of the area of the triangle OAB.

 

[stapel]

What is the slope of the line between A and B? What then is the equation, in terms of x, y, A, B, a, and b, of the line through the point (a, b)? What then is the area of the triangle AOB?

Eliz.

 

[ronny]

I got this question for home work from my calculus class. This question does not tell the slope or the equation of any line and I don't really see a possible solution to finding the minimum area.

 

[stapel]

You need to figure out what the slope is (in terms of A and B). So do a graph, label the intercepts, figure out what the coordinates are, and find the slope expression.

This exercise will all be in terms of variables, not numbers. You'll be getting an expression in terms of the constants A, B, a, and b. You will not be getting a numerical solution.

Eliz.

 

[ronny]

Derivative

How do I differentiate the following equation: -

A = -0.5(am-b)^2 / m

 

[Gene]

d(u/v)=(v*du-u*dv)/v² where
u = -.5(am-b)² and
v=m