Answer:
The answer is
<h2>12.3 cm</h2>
Step-by-step explanation:
Since the triangle is a right angled triangle we can use trigonometric ratios to find y
To find y we use cosine
cos∅ = adjacent / hypotenuse
From the question
y is the adjacent
The hypotenuse is 15
So we have
We have the final answer as
<h3>12.3 cm to the nearest tenth</h3>
Hope this helps you
Five hundered seventy-one thousand nine hundred and fifty one
The answer is the square root of (12^2 + 5^2), which is 13. You're correct
I'm assuming you're talking about the indefinite integral
and that your question is whether the substitution
would work. Well, let's check it out:
which essentially brings us to back to where we started. (The substitution only served to remove the scale factor in the exponent.)
What if we tried
next? Then
, giving
Next you may be tempted to try to integrate this by parts, but that will get you nowhere.
So how to deal with this integral? The answer lies in what's called the "error function" defined as
By the fundamental theorem of calculus, taking the derivative of both sides yields
and so the antiderivative would be
The takeaway here is that a new function (i.e. not some combination of simpler functions like regular exponential, logarithmic, periodic, or polynomial functions) is needed to capture the antiderivative.
