Hi i have a couple of questions, steps would be nice, thank you!
1) The altitude of a triangle is increasing at a rate of centimeters/minute while the area of the triangle is increasing at a rate of square centimeters/minute. At what rate is the base of the triangle changing when the altitude is centimeters and the area is square centimeters?
2)The demand for apples is given by the equation , where is the number of pounds demanded and is the price per pound. If the price is increasing at a rate of 1.25 dollars per week, when the demand is 10 pounds, at what rate is the
(a) demand changing;
(b) revenue changing.
3) A particle is moving along the curve . As the particle passes through the point , its -coordinate increases at a rate of units per second. Find the rate of change of the distance from the particle to the origin at this instant.