ANSWER:
Let t = logtan[x/2]
⇒dt = 1/ tan[x/2] * sec² x/2 × ½ dx
⇒dt = 1/2 cos² x/2 × cot x/2dx
⇒dt = 1/2 * 1/ cos² x/2 × cosx/2 / sin x/2 dx
⇒dt = 1/2 cosx/2 / sin x/2 dx
⇒dt = 1/sinxdx
⇒dt = cosecxdx
Putting it in the integration we get,
∫cosecx / log tan(x/2)dx
= ∫dt/t
= log∣t∣+c
= log∣logtan x/2∣+c where t = logtan x/2
Answer:
The amount of invested money after a period of 4 years:
A = 200 x (1 + 9/100)^4 = 282.32 dollar
Hope this helps!
:)
Step-by-step explanation:
First;
x to third power=x³
y to 4th power=y⁴
<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>c</u><u>o</u><u>n</u><u>d</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u>
expression=x³ × y⁴
=x³y⁴
Answer:
proportional relationship
Step-by-step explanation:
proportional relationships are straight lines that go thru the origin
This is a straight line going thru (0,0) so it is a proportional relationship
