Answer:
The rule for number 20 is plus 1/6, and the unknown term is 5/6.
Step-by-step explanation:1. If you skip the first two fractions and move to 1, 1/6 you will notice that it has an increase of 1/6.
2. Now, to make sure that 1/6 is the correct rule, we do have to go back to the first two fractions and give them common denominators: 1/2 turns into 3/6, and 2/3 turns into 4/6.
3. No once you look at your fractions, you can see that 1/6 is the true rule.
4. Now that we know t he rule we can turn to completing the unknown term. Since we are only moving by 1/6 it makes it very easy to add that 1/6 to your 4/6 to get 5/6. You can't simplify 5/6, so your final answer for the unknown term is 5/6.
Hope this helps :)
The value of f(5) is 49.1
Step-by-step explanation:
To find f(x) from f'(x) use the integration
f(x) = ∫ f'(x)
1. Find The integration of f'(x) with the constant term
2. Substitute x by 1 and f(x) by π to find the constant term
3. Write the differential function f(x) and substitute x by 5 to find f(5)
∵ f'(x) = + 6
- Change the root to fraction power
∵ =
∴ f'(x) = + 6
∴ f(x) = ∫ + 6
- In integration add the power by 1 and divide the coefficient by the
new power and insert x with the constant term
∴ f(x) = + 6x + c
- c is the constant of integration
∵
∴ f(x) = + 6x + c
- To find c substitute x by 1 and f(x) by π
∴ π = + 6(1) + c
∴ π = + 6 + c
∴ π = 6.4 + c
- Subtract 6.4 from both sides
∴ c = - 3.2584
∴ f(x) = + 6x - 3.2584
To find f(5) Substitute x by 5
∵ x = 5
∴ f(5) = + 6(5) - 3.2584
∴ f(5) = 49.1
The correct answer is 160
And u have to do the question correctly...
Cuz I told u the answer......
Hope this helps......
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