Answer: Right and isosceles
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
(25-y) ^2-y^2=25
y=12
x=25-12
x=13
(13,12)
Firstly, you change it to miles per second and then to feet
102miles per hour(60×60s)
102 per 120s
Divide
102÷120
=0.85miles per second
Convert to feet
=4488 feet per second
Answer:
The solution h < 5.5 means that Melanie can rent the bike for no more than 5.5 hours.
<u>Hope this helps :)</u>
<u>Explanation and Check part below.</u>
Step-by-step explanation:
1. Isolate the variable by doing the inverse operation which is in this case subtracting 6 on bothsides of the equation.
8h + 6 < 50
- 6 - 6
8h < 44
2. Dive both sides of the equation by 8.
8h < 44
--- ----- <--------- fraction bar, divide
8 8
h < 5.5
