ANSWER
See below
EXPLANATION
Part a)
The given function is
From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).
b) Using calculus, we find the first derivative of the given function.
At turning point f'(x)=0.
This implies that,
We plug this values into the original function to obtain the y-values of the turning points
We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]
Hence
is a maximum point.
Hence
is a minimum point.
Hence (0,-6) is a point of inflexion
We know that speed * time = distance
Before we start we need to make sure the units for all three numbers are right
The time is 1/3 of a hour, 1/3*60 = 20 minutes
x * 20 = 22.5
x *2 * 10 = 22.5
2x = 2.25
x = 1.125
Answer: 9 boys
Explanation:
3/11= x/33
11x= 99
x=9
Answer:
i belive it was 750.
Step-by-step explanation:
Part (i)
I'm going to use the notation T(n) instead of 
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
<h3>Answers: -1, -4</h3>
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Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
<h3>Answer: 21st term</h3>
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Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
<h3>Answer: 8</h3>
