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:
1/7
Step-by-step explanation:
- I can't really tell what the fraction you have is, I am assuming it is 2/14. If that is correct, simplify by finding a common number.
- Ask yourself, what can both be divided by? (Answer is 2)
- Knowing both simplify by 2, divide the numerator (top) and denominator (bottom) by 2.
- You should get 1/7 (2/2 = 1 and 14/2 = 7)
- If you have any further questions on this topic please let me know. I would be glad to help anytime!
Answer:
8(15-m)
Step-by-step explanation:
just took the test
Answer:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled
Step-by-step explanation:
Here, the money earned for each road David shovels = $15
The number of driveway shoveled by David = 12
The total money saved David has after he is done with his work = $243
Now, The number of money saved by shoving 12 driveways
= 12 x ( Money earned by shoveling 1 driveway)
= 12 x ( $15) = $ 180
Total savings = His previous savings + Money earned from Shovel work
⇒ $243 = His previous savings + $ 180
⇒ His previous savings = $243 - $180 = $63
Now, we can write his total savings as:
Total savings = $63 + 12 ( m)
: m = number of driveways shoveled
Answer:
x = -2,3
Step-by-step explanation:
Given: (x − 3)(x +2) = 0
To find the solution of above factor.
It is already in factor form.
Two factors are (x-3) and (x+2)
So, set each factor to 0 and solve for x
(x − 3) = 0 or (x +2) = 0
x - 3 = 0 or x + 2 = 0
x = 3 or x = -2
Hence, The solution of the (x − 3)(x +2) = 0 are 3 and -2
