Remember that -csc^2(x) is a known derivative; it is the derivative of cot(x).
<span>Keeping that in mind, let's put a negative there, and then offset it with another negative, which can conveniently be placed outside of the integral. </span>
<span>(-1) Integral ( -csc^2(x) dx ) </span>
<span>Which evaluates to </span>
<span>(-1) cot(x) + C </span>
<span>-cot(x) + C</span>
Answer:
An imaginary number, the i represents that
Answer:
You get 80 degrees
Step-by-step explanation:
50 plus 50 gets you 100. 180-100 80
To rotate the figure 180 degrees, you would make it so all the points are:
(x,y) to (-x,-y)
Basically, you would switch every sign on the point.
(1,-1) -> (-1,1)
(3,-2) -> (-3,2)
(3,-4) -> (-3,4)
Those new points would be P'Q'R'.
Then when you reflect over the x-axis, you would flip every y sign.
(-1,1) -> (-1,-1)
(-3,2) -> (-3,-2)
(3,-4) -> (3,4)
You would chart those points as P"Q" R".
I hope this helps! (review my answers)
Sorry this took so long!
Answer:
The first term of the sequence is 1/5
Step-by-step explanation:
The first term is 1/5.
The reason is that there is a common ratio between each term. In this case multiplying the previous term in the sequence by 5 would give the next term.
So in this case 1/5 is the first term.
If we multiply 1/5 by 5, it will give the next term which is 1.
1/5*5=1
Thus the first term in the sequence = 1/5....