1) find the value of the derivative (if it exists) of the function f(x)=x^2/x^2+81 at the extremum point (0,0) on the interval [-1,3]
a) 0
b) 1
c) -1
d) 1/10

2) a sector with central angle ѳ is cut from a circle of radius 13 inches, and the edges of the sector are brought together to form a cone. find the magnitude of ѳ such that the volume of the cone is a maximum.
a) √(4/3)π radians
b) (1/16)π radians
c) (2π√6)/3 radians
d) (1/8)π radians

The height of a flare fired from the deck of a ship in distress can be modeled by h(t)= -2(8t^2-52t-28), where h is the height of the flare above water and t is the time in seconds. a. find the time it takes the flare to hit the water.

At $1.32 million, they closed last month percent above what they paid in 2007." how much did they pay in 2007?

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.