Answer:
Least possible value of b is 9.
Step-by-step explanation:
It is given that 
and b is an odd integer.
We need to find the least possible value of b.
We have,
Isolate variable terms.
Divide both sides by 3.
Since b>8 and b an odd integer, therefore the possible values of b are 9, 11, 13, 15, ... .
Hence, the least possible value of b is 9.
Definition: <span>The square root of a number is another number, which on multiplying with itself, will give the original number.
</span>
Every positive number has two square roots. One square root is positive, while the other is exactly same, but negative. The positive square root of a number is called its principle square
root. For example, 10 and -10 are the two square roots of 100, but 10 is
called the principle square root.
Hence e<span>very positive number has two square roots , a principal square root and its opposite negative.</span>
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Answer:
The integrals was calculated.
Step-by-step explanation:
We calculate integrals, and we get:
1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}
2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}
3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}
4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}
5) \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=
=\frac{3π+8}{64}
6) ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x
7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}
8) ∫ tan^5 (x) sec(x) dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x
Answer:
You can fill 13.5 pages
Step-by-step explanation:
You would do 54 divided by 4 equals 13.5
Answer:
r(s(-2)) = -2
Step-by-step explanation:
We are given these following functions:
Find the value of r(s (-2)).
First we find the composition of r and s functions. It is:
At x = -2
r(s(-2)) = -2
