1. The altitude (height) of a triangle is increasing at a rate of
2cm/min while the area is increasing at a rate of 3cm2 /min . What is the rate of change of the base of the triangle at the time when the height is 15 cm, and the area is 175cm2 ?
I ended up with b=23.33cm and my ROC is -2.7 cm/min
2. A trough is 10ft long and its ends have the shape
of isosceles triangles that are 4ft across the top and have a
height of5ft . If the trough is being filled with water at a rate
of 12ft3/min, how fast is the water level rising when the
water is 30in deep?
For this I got a ROC in water level of .6ft/min
These seem straight forward but thats typically where I make a dumb mistake