# Posts by nesri

Total # Posts: 5

**calculus**

An isosceles triangle is drawn with its vertex at the origin and its base parallel to the x-axis. The vertices of the base are on the curve 5y=25-x^2 Find the area of the largest such triangle.

**calculus**

A shark, looking for dinner, is swimming parallel to a straight beach and is 90 meters offshore. The shark is swimming at a constant speed of 30 meter per second. At time t = 0, the shark is directly opposite a lifeguard station. How fast is the shark moving away from the ...

**calculus**

The sides of an equilateral triangle are increasing at the rate of 5 centimeters per hour. At what rate is the area increasing when the side is 10 centimeters?

**calculus**

Compute d/dx(4x+3/2x-5)^1/2

**calculus**

An ice cube is melting so that its edge length x is decreasing at the rate of 0.1 meters per second. How fast is the volume decreasing when x = 2 meters?