<h3>
Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>
Step-by-step explanation:</h3>
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
Answer:
No solutions
Step-by-step explanation:
hope this helps!
90 = 30+10+3x
This equation shows that all the prices of the the bag, eraser, and pencils equals $90. So now all we have to do to find the price of a pencil is solve the equation.
First add the 30 and 10 together.
90 = 40+3x
Then subtract 40 from each side
50 = 3x
Lastly divide each side by 3
x = 16.67
The price per pencil is $16.67
Hope this helps!
Every time you go to the store you lose 2 dollars and you went to the store 4 times.
Answer:
Step-by-step explanation:
Let's first subtitute
with 
This will turn the problem into

Using the chain rule, we will find that the derivative of this function,
, is represented by the following:

We know what
is in this case, but we need to find
.
This can be done with the product rule:

Plugging these functions back into the original subtitution will give you the final answer:
