Answer:

Step-by-step explanation:
using the formular for integration by parts;
∫udv = uv -∫vdu ..............equ 1
in the equation below;
∫
u=x , dv =
du= 1 v= 
Substitute into equ 1
∫udv =
- ∫
∫udv =
- 
Let, the two-digit number = xy
It is given that, xy = x + y²
Then, number which obey the rule is 89.
Check: 8 + 9² = 8 + 81 = 89 [ Itself ]
In short, Your Answer would be: 89
Hope this helps!
Answer:
D. 1/7
Step-by-step explanation:
There are seven cans of paint and only one of them are white, so there's a 1/7 of a chance she'll paint her bedroom white.
Answer:
The correct answer is down below:
Step-by-step explanation:
Coco is the first dog in line; followed by Rocky who is in the middle from Marley. And Marley is the last dog in line. <em>(use the context clues to find the answer of your question).</em>
1. Coco
2. Rocky
3. Marley
Answer:
Infinitely many triangles.
Step-by-step explanation:
Given the lengths of two sides are 8 inches and 10 inches.
Let's assume third side = x inches.
Using the Triangle Inequalities given as follows:-
1. a+b > c,
2. b+c > a,
3. c+a > b.
Using the lengths given in the problem, we can write:-
1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.
2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.
3. 8+10 > x ⇔ x < 18.
So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).
Hence, there are infinitely many triangles.