Answer:
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Step-by-step explanation:
y = (x^2 - 3)^sinx
ln y = ln (x^2 - 3)^sinx
ln y = sin x * ln (x^2 - 3)
1/y * dy/dx = sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x
1/y dy/dx = 2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)
dy/dx = [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Answer:
3446.464 m³
Step-by-step explanation:
280 cm=2.8 m
S=πr²×h×14
=3.14×2.8²×10×14
=3446.464 m³
Answer:
Step-by-step explanation:
5+1+3+8+2=19
3/19 = 16%
<span>The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.</span>
Answer:
3(4x+3) or 12x + 9
Step-by-step explanation: