a triangle inscribed in a semicircle is a right triangle.
km
km
km
distance/speed = time
find and minimize ... don't forget about endpoint extrema.
I need help with this.... Can anyone help me??? Many thanks
The figure shows a circular field with centre O, and radius 2 km. AC is the diameter of the circle, and B lies on the circumference. Jack cycles along the straight line from A to B at a speed of 12 km/hr. He then walks along the straight line from Bto C at a speed of 5 km/hr. Given that the distance from B to C is x km, and the total time taken is T hours, find the value of x so that Jack can complete his journey in the shortest time possible.
Hi skeeter, thanks for your answer. But erm can you teach me what is endpoint extrema? My teacher didn't teach me about it and this is the first time I come across this term. I know that I'm a bit of a noob but I hope you can teach me as I want to know more. And thanks again!!!!
the domain for x is 0
T(3.69) is a maximum ... the function T(x) increases and then decreases because T'(x) changes sign from (+) to (-).
This means that the minimum for T(x) is either T(0) or T(4) ... endpoint minimums. the absolute min is the lesser of the two.