Answer: m = 2
Step-by-step explanation:
What we know:
- The slope needs to pass through the points (1, -5) and (4, 1)
- There are 4 potential slopes given to us- only one is correct
- We need to find the slope and make sure it is an option
How to solve:
By using the slope equation and the two points given to us, we can calculate the slope.
Process:
- Set up equation (y2 - y1) / (x2 - x1)
- Substitute (1 +5 ) / (4 - 1)
- Simplify 6 / 3
- Simplest form 2/ 1 =
Slope = 2
Solution: m = 2
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:
52 people
Step-by-step explanation:
add 5 9 12 17 4 5 and youlk get 52 people.
9/3 =3
(X+7)^2/ (x+7) = x+7
1/x-1
3(x+7)/x-1
3x+21/x-1
