Let t be the period of a planet about the sun; that is, t is the time required for it to travel once are 2a and 2b. (a) use part (d) of problem 1 to show that t-2tab/h (b) show that_-ed=-. 2. lliptical orbit. su h2 gm b2 cl 4t2 gm (c) use parts (a) and (b) to show that ta this proves kepler's third law. [notice that the proportionality constant 4? 9(gm) is inde- pendent of the planet.]

c. 7/3

step-by-step explanation:

a rational number is like pi- it is a repeating decimal.

a. is -1.8

b. 2.236068

c. 2.3333333333333333333

d.   is 3

i hope that ! =)

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .