The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 170 cm2?

A cylindrical vessel whose diameter and altitude are 26 cm and 500 cm respectively, is filled with water to half its height. What is the increase in the water level if a ball 6 cm in diameter is placed in the vessel?

MAXIMA-MINIMA and RELATED RATE APPLICATIONS

One of the sides of a parallelogram is increasing at a rate of 10cm / s and one of the adjacent ones is decreasing at a rate of 5cm / s, while the angle between these sides is increasing at a rate of 2 ° / s. Determine how and how fast the area of the parallelogram at the instant when such sides measure 2.4 m and 1.5 m respectively and the angle understood is 60 °

The base of a triangle increases at a rate of 3 cm per minute while the height of the triangle decreases at a rate of 2 cm per minute. At what rate is the area of the triangle changing with respect to time when the height is 10 cm and the base is 15 cm? Be sure to write units for your answer.