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:
D!!!!
Step-by-step explanation:
To find the percent mark up, find the amount of the mark up first:
From $
21
, 450 → $
27
,
950 is an increase of $
6
,
500 To find the percent mark up:change original amount ×
100 %
6500 21450 × 100
% = 30.3
% mark up in price.
Answer:
Step-by-step explanation:
<u>The options:</u>
A. The bases are parallel and congruent.
- Incorrect. There are no parallel bases in any pyramid
B. The segment from the top to the center of the base is perpendicular to the base.
- Correct as its a right pyramid
C. All the faces are congruent pentagons.
- Incorrect. Only the base is pentagon.
D. The base is a pentagon and the sides are triangles.
E. The base must be a regular polygon.
- Incorrect. It is pentagon.
Answer:
35,136 ml
Step-by-step explanation:
The tank holds 55,000ml. Mr. Clark poured some gas into 3 container, and at the end there the tank had 19,864. To find how much gas was poured out of the tank it is the same as asking how much gas he poured in the 3 containers, all together. We have to find the difference, subtraction:
55,000 - 19,864 = 35,136ml were poured in the 3 containers or amount of gas poured out of the tank.
