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
An exponential growth model has the form:
we know that the initial population was 3000 and that after seven years the population was 3525, plugging this vales and solving for the unknown we have:
Therefore the missing part of the function is 0.083
$23
Mathias has $20 in a savings account. The interest rate is
5% per year and is not compounded. How much will he have in 3 years?
Answer:
600 words
Step-by-step explanation:
To solve this problem, we need to cross multiply. Lets input the values (100, 2.5, 5) as shown below:
Next we cross multiply. We multiply 2.5 and x, and we multiply 100 and 15.
Now, lets put the values above back into the equation:
Our next step is to divide 1,500 by 2.5 to get <em>x</em> by itself.
Sylvia can type 600 words in 15 minutes.
Answer:
12:6, or 12 pints of lemonade
