Answer:
π
2
,
3
⋅
π
2
,
3
⋅
π
4
,
7
⋅
π
4
Explanation:
Factorizing your equation we get
cot
(
x
)
=
0
so
cos
(
x
)
=
0
we get the following Solutions in the given interval
x
=
π
72
or
x
=
3
π
2
for the second case we get
cot
(
x
)
=
−
1
so
cos
(
x
)
=
−
sin
(
x
)
and we get
x
=
3
π
4
or
x
=
7
π
4
Hint:
To get the Solutions of the last equation you can use
√
sin
(
x
+
π
4
)
=
0
Step-by-step explanation:
9514 1404 393
Answer:
(d) ∅
Step-by-step explanation:
Subtracting y from both sides gives ...
4 = -5
There is no value of y that will make this true. <em>There is no solution to the equation</em>.
The solution set is the null set: ∅.
Answer:
Step-by-step explanation:
You'd do 80% times 32. You have to move the 80 to the left 2 times. then multiply.
It is 13 inches wide and 26 inches long. I found this out by looking at the factors of 338.
9514 1404 393
Answer:
5,339,479
Step-by-step explanation:
The populations in millions of the different countries can be represented by the equations ...
c = 5.2(1.025^t)
d = 5.2(1.001^t)
We want to find d when c = 10. Solving for t when c=10, we have ...
10 = 5.2(1.025^t)
10/5.2 = 1.025^t
log(10/5.2) = t×log(1.025)
t = log(10/5.2)/log(1.025)
Then the value of d for that value of t is ...
d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789
The population of Denmark is about 5,339,479 when the population of Chad is 10 million.
_____
If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.