Answer:
Step-by-step explanation:
If you meant f(x) = √x - 1, then the domain is [0, infinity).
If you meant f(x) = √(x-1), then the domain is [1, infinity).
When any ambiguity may rear its ugly head, use parentheses, as indicated here.
60%
((sorry if I got it wrong))
Looks about either 38 or 52
Answer: Van: 10, Bus: 46
Step-by-step explanation:
Let the number of students in each van be represented by v.
Let the number of students in each bus be represented by b.
The question given can be formed into an equation as:
3v + 13b = 628 ...... i
9v + 2b = 182 ......... ii
Multply equation i by 9
Multiply equation ii by 3
27v + 117b = 5652 ........ iii
27v + 6b = 546 ....... iv
Subtract iv from iii
111b = 5106
b = 5106/111
b = 46
Bus = 46
Recall that 9v + 2b = 182
9v + 2(46) = 182
9v + 92 = 182
9v = 182 - 92
9v = 90
v = 90/9
v = 10
Van = 10
Answer:
Below in bold
Step-by-step explanation:
∫ dx / (x^2√(9-x^2))
Substitute x = 3sinu and dx = 3cosu du
then the √(9-x^2) = √( 9 - 9sin^2u) = 3 cos u and u = arcsin(x/3)
= 3 ∫(csc^2 u du )/ 27
= 1/9 ∫(csc^2 u du
= -1/9 cot u
= -√9-x^2) / 9x.
