F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt
As integral of tan u = - ln (cos (u)), you get :
integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer
Answer:
B.
Step-by-step explanation:
Answer: f(n+1) = 3 f(n)
Step-by-step explanation:
- A recursive formula is used to determine each term of a sequence using preceding term or terms.
Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...
Here,
Common ratio = 3
Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .
Required recursive formula : f(n+1) = 3 f(n)
Answer:
See explanation
Step-by-step explanation:
The selling price is $495.
The first washing machine:
- is marked down by 30%
$495 - 100%
$x - 100% - 30% = 70%
Find the value of x:
The second washing machine:
- is marked down by 20% with an additional 10% off
$495 - 100%
$y - 100% - 20% = 80%
Find y:
Now,
$396 - 100%
$z - 100% - 10% = 90%
Find z:
Thus, the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.
Answer:
91.125
Step-by-step explanation:
Total number/ Total number of quantity
16+32+10+28+8+19+32+26+33+39+98+399
729
Divode by number of quantity (8)
729/8
=91.125
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