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:
i) is correct answer i think
3px = 2q(r-5x)
distribute
2qr - 10qx
3px = 2qr - 10qx
To solve for x
add 10qx to both sides
3px + 10qx = 2qr
factor out x
x(3p+10q) = 2qr
divide both sides by 3p+10q to isolate x
x = 2qr / <span>(3p+10q)
Hope this helps :)</span>
Answer:
all real numbers
Step-by-step explanation:
The domain of a function is the set of values you can set as x to output an answer. Since you can subtract 3 from any real number, the domain of x-3 is all real numbers.
2:10 and 4:20
therfor
1:5
times 5
5:25
answer is 25 minutes