A boat is spotted in the water with an angle of depression of 25° from the top of a lighthouse that is 89 feet tall. To the near
2 answers:
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Step-by-step explanation:
Let f be a function having domain in the set X, and range in the set Y. Then f would be invertible if there exists a function g having domain Y and range X, such as:
In other words, the function is applied to an input x, and gives an outcome of y, then its inverse function, let say
, can be applied to y to give the result of x.
In other words,
y = f(x) if and only if x = g(y)
For example, considering the function
the inverse is:
Answer:
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Step-by-step explanation:
The Taylor series of a function around a value ("a" is this case) is:
- f' is the first derivative, f'' the second, and so on
- a=0
If f(x)=sin(x), the Taylor series will be:
We truncate to 6 term as the question says.
Now, sin(0)=0 and cos(0)=1.
Let's find sin(π/4) using the Taylor series and with the calculator, and then calculate the relative error.
<u>Taylor series</u>
<u>Calculator</u>
The relative error will be:
I hope it helps you!