Answer:

Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:

Rewrite 9 as 3² and rewrite the 3/2 exponent as square root to the power of 3:

<u>Integration by substitution</u>
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Find the derivative of x and rewrite it so that dx is on its own:


<u>Substitute</u> everything into the original integral:

Take out the constant:











Learn more about integration by substitution here:
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Answer:
Step-by-step explanation:
10^2=100
320×100=32000
Step-by-step explanation:
If 200 g fertiliser required for 8 m^2 then for 1m^2 we'd need 25 g of fertiliser
(i) 14×25 = 350 g fertiliser would be needed for 14 m^2 land
(ii) 450÷25 = 18 m^2 land could be fertilised with 450 g fertiliser
Answer:
(a) 
(b) 
(c) At 4 weeks, when both will be seeing an average of 3 hours of TV.
Step-by-step explanation:
a) For the students, they start at X(0)=5 h and ΔX=-0.5 h/week.
We can write

b) For the professors, they start at X(0)=1 h and ΔX=+0.5 h/week.
We can write

c) The seew which they will be watching the same amount of hours will be the 4th week.

The amount of hours will be

Answer:
x + y = 11
Step-by-step explanation:
You would need to substitute the numbers into the expression.
Evaluate means that we need to work out what the answer would be.
x + y is equivalent to 9 - - 2.
- - is equivalent to +.
Therefore you would do 9 + 2, which equals 11.
Hope this helps :)