The area of a circle is increasing at a rate of 80n square feet per second. How fast is the radius changing when the radius is 10 feet?

Q: A hot-air balloon rises straight up at a constant speed of 20 feet/sec. An observer stands 200 feet…

A: The speed of the balloon is dydt=20 ft/s2=VyThe distance between observer and launchingpoint, x=200…

Q: A hot air balloon rising upwards is noticed by an observer who is 4 miles from where it is released.…

A: Given that a hot air balloon is rising vertically and being tracked by an observer located 4 miles…

Q: A 4-foot child is walking away from a streetlight 16 feet high at a rate of 2 feet per second. At…

A:

Q: Aaron tosses a stone into a still pond, producing ripples shaped like concentric circles. One of the…

A: Here we have to use the concept of derivatives.

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A: Given that: Pressure at d=80 feet is p=240 pounds per square inch. Pressure is the physical force…

Q: scientist watches a rocket rising vertically off the ground from a point that is 150 meters away on…

A: Rate of change

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.