rolan

A street light (light source) is 15 m above the ground. A ball is freely released from a location of 9 m from the light with the same elevation as the light’s. While the ball is falling, it casts a shadow on the ground. Assuming the gravity is 10 m/s2, ca...

Draw a kite that has a triangle with sides 1, 1, 2x next to a triangle with sides 2x, 2, 2. Find the area A and the x that maximizes it.

Point A and B of a triangle ABC are at (-1,1) and (3,9), respectively; while point C is on the parabola y=x2. Find coordinate of C so that the area of ABC is minimum, and calculate the largest are of ABC.

An 8 ft wall stands 27 ft from a building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall.

Water is being pumped into an inverted right circular conical tank at the rate 30 ft^3/min. the tank, which stands vertex down and base up, has a height of 12 ft and a base diameter of 16 ft. how fast is the water level rising when the water is 9 ft deep?

find the largest possible value of s=2x+y if x and y are side lengths in a right triangle whose hypotenuse is 5 units long. My answer : (5)^2 = x^2 + y^2 y^2 = 5 - x^2 y = 5-x^2 Substituting y to s, S = 2x + y = 2x + 5-x^2 To find the largest possible...

Two right circular cone, one upside down in the other. The two bases are parallel. The vertex of the smaller cone lies at the center of the larger cone’s base. The larger cone’s height and base radius are 12 and 16 ft, respectively. What are the smaller c...

write inequality of the form |x-a|<b that is equivalent to the interval of 7<x<3.5

h(t)=cos t, [pi/4, 3pi/4] find the average rate of change of the function over the given interval or intervals

thanks steve

s = 2x + y = 2x + sqrt(5-x^2)

thanks for your help Reiny :)