Step-by-step explanation:
y = (cos x)^(sin x)
Take log both sides.
ln y = ln ((cos x)^(sin x))
ln y = (sin x) ln (cos x)
Take derivative.
1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)
dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]
dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]
Your answer is correct.
Given:
Amount = 8700
Time = 3 years
Rate of interest = 24% per annum
To find:
The principal values.
Solution:
Formula for amount:
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting 
, we get
Divide both sides by 1.906624.
Therefore, the principal value is about 4563.04.
Answer:
c
Step-by-step explanation:
Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
Answer:
1/2
Step-by-step explanation:
1/2
