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:
I suppose the answer would be 120
Step-by-step explanation:
Well if 90 is 75% then 50% should be 60 and 25% should be 30.
so its going up and down by 30, so that would make 100% 120
please give brainliest
Answer:
(x+3)^2(x-2)(x^2-16)
Step-by-step explanation:
1) Answer
One set = (7, 6)
Second set = (-6, - 7)
Step by step explanation
Let "x" be a number.
The other number = x -1
The product of the two number is 42
Therefore, x(x -1) = 42
x^2 - x = 42
x^2 - x - 42 = 0
Now we have to factorize the equation.
(x - 7)(x + 6) =0
x = 7 and x = -6
Take x =7, and the other number = x -1
The number is = 7 - 1 = 6
One set of number is (7, 6)
The other set is when x = -6
The other number is = x -1
= -6 -1
= -7
The other set is (-6, -7)
2) Answer
a) x^3 - 49x + 120 = 0
Step by step explanation
Here the solution are 5, 3 and -8
Therefore, the factors are (x - 5)(x - 3) and (x + 8)
Multiplying the factors we get the equation.
(x - 5)(x - 3) (x + 8 ) = 0
(x^2 -5x -3x + 15)(x + 8) = 0
(x^2 - 8x + 15)(x + 8) = 0
x^3 - 8x^2 + 15x + 8x^2 - 64x + 120 = 0
x^3 - 49x + 120 = 0
Answer: $1.50
Step-by-step explanation:
The item's normal price is $15.
Han uses a 10% off coupon so he saves 10% which is:
= 15 * 10%
= $1.50
He therefore bought the item for $8.50.