Need help with calculus AB?
so I'm in calc AB, and for awhile I was doing well, but I'm slowly getting further behind every week...
Could anyone PLEASE explain at least one of these problems to me step by step?
1) a point P moves from left to right along the curve y=x^2, at a constant horizontal speed of 3m/sec. How fast does the y coordinate of P increase at the moment when P passes through (1,1)? when P pas senses (2,4)?
2) a 6meter ladder is against a wall. If its bottom is pulled at a constant 1/2 m/sec, how fast is the ladder top sliding when it reaches 5m up the wall?
3) a man 6ft tall walks away from a lamp post 15ft tall at 5ft/sec. how fast is his shadow lengthening? how fast is the tip of his shadow moving?
4) Boyle's law states that if the temperature of a gas remains constant, then PV=c where c is a constant. If the volume is decreasing at the rate of 10 in^3 per sec, how fast is the pressure increasing when P is 100lbs/in^2 and V is 20 in^3
- ted sLv 76 years agoBest Answer
[ dy / dt ] = 2 x [ dx /dt] and you are given dx/dt = 3
so x² + y² = 36 ---> x [dx/dt] + y [ dy/dt] = 0
here 15 / 6 = [ x + s ] / s...find ds/dt...DRAW the diagram
same concept for the last