Step-by-step explanation:
You have to do first and second derivatives :
y = a sin 3x + b cos 3x
dy/dx = 3a cos 3x - 3b sin 3x
d²y/dx² = - 9a sin 3x - 9b cos 3x
Next, you have to compare it :
let d²y/dx² = ky,
-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)
-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)
Therefore, k is equals to 9.
Answer:
20°
Step-by-step explanation:
One way of doing this is to find the constant of proportionality, k:
8k + 6k + 4k = 90° Then 18k = 90°, and k turns out to be 90/18, or 5.
Then the angles are 8(5), 6(5) and 4(5). The smallest of these angles is thus 20°
Answer:
1.75%
Step-by-step explanation:
The monthly interest rate is the interest amount divided by the base on which it is computed, expressed as a percentage.
$4.96/$283.15 × 100% ≈ 1.75172% ≈ 1.75%
I am certain it is
200g butter
300g flour
400g sugar
given that - 1 hour = 60 min
then, 25 60
then, we cut it from the table of 5 !!
therefore, 5:12
