Prism

1) they can sit in any seat

2) if two particular people want to be on the left and one particular person wants to be on the right

please help with working!

do even functions have to look like :

x^6+x^4+x^2

where each degree is always even or can it have odd degrees aswell?

same idea for odd functions

The perimeter of a strange shape given by P= sqrt(2x-x^2) where x is the length of one side. Find the value of x for which the perimeter is a maximum

The perimeter of a strange shape given by P= sqrt(2x-x^2) where x is the length of one side. Find the value of x for which the perimeter is a maximum.

1)A commitee pf 6 is to be selected from 10 people of whom A and B are two. How many committees can be formed

i) containing both A and B

ii) excluding A if B is included

2) In how many ways can a committee of 3 men and 4 women be chosen from 6 men and 7 women? What proportion of these committees contain a particular man and 2 particular women?

Please working solutions and explanations on how to do please! thanks

Jake invests $500 into a superannuation fund at the start of every year where it earns 6% per annum compounded monthly. Assume that there is an amount Bn in the fund after n years.

a) show that:

1) B1=500(1.005)^12

2)B2=500(1.005)^24 + 500(1.005)^12

3)B3=500(1.005)^36 + 500(1.005)^24 +500(1.005)^12

b) hence determine an expression for B20

c)jake plans to retire in 20 years. How much money will he have at this point in time

Please help with steps. I have been stuck in the algebra conversion from year to month in 1st question

Both are based on a geocentric model so i assume that they mean flaws other than not being a heliocentric model.

geological timescale

The amount of baked beans produced in a factry in kilograms on a particular day is given by

B=(54n^2-n^3)/10 where n is the number of employees at work in the factory.

a) find dB/dn

b) how many emploees should be at work to produce at maximum capacity

given that d^2y/dx^2=4 and when x=0 , y=2 and dy/dx=8, find y in terms of x

Q: for a certain curve, when x=5, y=3, dy/dx=-4 and d^2y/dx^2=2

.provide a neat sketch of this curve around the point where x=5

how to do?

i know 1st derivative is gradient and 2nd derivative is concavity

The number of points that john has earned in a game varies every second according to the formula p=t^4-4t^3-18t^2+4t+18 where p is the number of points and t is the time that has elapsed in seconds. When is john earning points at the slowest rate possible.

How would i go about finding the minimum in this question

working and solutions please

Only some materials such as iron and cobalt are magnetic. These materials can be made into magnets, while other metals cannot. Explain how a permanent magnet creates a magnetic field and how these metals can be made into magnets?

the perimeter of a shape is given by p= sqrt(2x-x^2) where x is the length of one side.

find the value of x for which the perimeter is a maximum.

The word maximum totally confuses me please explain this and also help with works and solutionss thank .

please help i dont understand

a) determine the nature of the stationary point in the curve y=x^4 using first derivative test

b) what happens if you use second derivative test to determine nature of the stationary point.

i know that first derivative is specifically used to find gradient and second for concavity so whats the reason if any to use second derivative??

differentiation