C3 exponentials population functions
Test 2

Find the  value of the real solution of

ex +e-x = 4

 

(to 2 dp)

At time t= 0 ,   a lake is stocked with 'k' fish

n, is number of fish

t is time in days

and is modelled by equation:

n= 3000+1450e0.04t

Find the value of k

Part 1 of 3

At time t= 0 ,   a lake is stocked with 'k' fish

n, is number of fish

t is time in days

and is modelled by equation:

n= 3000+1450e0.04t

 

 

 

Calc the increase in popln  in 3 weeks

(to nearest whole number)

Part 2 of 3

At time t= 0 ,   a lake is stocked with 'k' fish

n, is number of fish

t is time in days

and is modelled by equation:

n= 3000+1450e0.04t

Calc number of days for fish to reach 7000

(nearest day)
Part 3 of 3

The following functions are defined:

f(x) = 4(x-2)

g(x) = x3 +1

h(x) = 3x

 

a) find f(7)=

 

 

 

b) find g(3)=

Part 1 of 2

c) find h(0)=

 

 

d) find g-1(9)=

 

 

e) find fg(2) =

The following functions are defined:

f(x) = 4(x-2)

g(x) = x3 +1

h(x) = 3x

P 2 of 2

Find n(-3)

 

and n(3)

 

and lowest value of a

such that n(a) = 50

A function is defined by

 

                    5-x   x≤0

n(x) =       

                    x2   x>0

f is defined by

 

f: x →  (2x+3) /(x-1)

 

          xεℝ, x>1}

 

 

Find f-1 (12) =

 

 

The range of f-1(x)  is  f-1(x) >

 

The domian of f-1(x)  is  x >

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