Answer:
∫
= 
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let 
Differentiate both sides with respect to 
[use 
]
So,
∫ = ∫ 
= 
where 
is a variable.
(Use ∫
)
Put 
∫ = 
Use 
So,
∫ = 
where 
Without using substitution:
∫ = ∫
= 
So, same answer is obtained in both the cases.
Answer:
I is at least ten because of nine it rounds to ten
Step-by-step explanation:
x = number hours dog walking
y = number hours tutoring
x + y <= 11
6x + 10y >= 80
the solution is the common area below the first line and above the second line.
the first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.
for the crossing point we use the regular equations :
from the first we get
x = 11 - y
using this in the second
6×(11 - y) + 10y = 80
66 - 6y + 10y = 80
4y = 14
y = 14/4 = 7/2 = 3.5
x = 11 - y = 11 - 3.5 = 7.5
so, she has to do at least 3.5 hours tutoring (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours tutoring (and 0 dog walking) for $110 earning.
Answer:
x-2 =0
x=2
Step-by-step explanation:
we take -2 to the anther side it becomes 2
3 sorry if it is wrong but have a good day
