Part of the graph of is shown below.

The graph passes through and .

Find .

Part of the graph of is shown below.

The graph passes through and .

Find .

Solve for ,

given that .

Find the exact value of:

A 100kg astronaut (including the space suit) becomes untethered during aspace walk and drifts to a distance of 10m from the mother ship. To get back to the ship, he throws his 2.5kg tool kit away with an accelaration of 8.0 m s that actos over the 0.50s.

a) How does throwing the tool kit away help the astroanut in this situation?

b) How large is the force that actos on the tool kit and the astronaut?

c) With what speed will the astronaut drift to the mother ship?

d) How long will it take for the astronaut to reach the ship?

... The mass of canoe is 15 kg and Mary has a mass of 50kg.

1) What is her mass?

2) What is her weight?

Fatorise the following polynomials.

Please help me find all non-zero integers and , such that

Please provide full proof that you have found all solutions to this equation. Please be accurate but succint. I would prefer you use less than a page for your proof. If you need more room there is space in the margins.