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Evaluate the indefinite integral:
Make a trigonometric substitution:
so the integral (i) becomes
Now, substitute back for t = arcsin(x²), and you finally get the result:
✔
________
You could also make
x² = cos t
and you would get this expression for the integral:
✔
which is fine, because those two functions have the same derivative, as the difference between them is a constant:
✔
and that constant does not interfer in the differentiation process, because the derivative of a constant is zero.
I hope this helps. =)
Answer:
y = 52
Step-by-step explanation:
For this case we have a function of the form:
y = A * (b)^x
Where,
A: initial population of bacteria
b: growth rate
x: number of hours
Since the diameter is double every hour, then:
We must now look for the value of A.
b = 2
To do this, we evaluate an ordered pair of the graph:
For (1, 2):
2 = A * (2)^1
Clearing A we have:
2 = A * 2
A = 2/2
A = 1
Then, the function is given by:
y = 1 * (2)^x
For after 9 hours we have:
y = 1 * (2)^9
y = 512
I hope this helped. I am sorry if you get this wrong.
Answer/Step-by-step explanation:
[D]
Polynomials will be closed under an operation if the operation produces another polynomial. When multiplying polynomials, the variables' exponents are added, according to the rules of exponents.
(Note: exponents in polynomials are whole numbers.)
[RevyBreeze]
Answer:
4a+1s
Step-by-step explanation:
50 divided by 12=4 and a is the variable for albums so 4a
12 x 4 = 48
50-48=$2
Which leaves enough money to buy one song therefore 1s
Hope this helps
Have a great day!
It’s B because a discount takes money off a item