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:
Step-by-step explanation:
First convert km to meters
143000 km = 143,000,000m = 1.43*10^8 m
Now convert 10 billion to scientific notation1 00
10 billion = 1 * 10^10
What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.
Now show what the ratio is for
1.43*10^8
======== Divide by the denominator
1 * 10^10
1.43 * 10^(8 - 10)
1.43 * 10 ^ - 2 meters
Answer: 0.0143m or B
The answer is A, I’m pretty sure
With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?
lilavasa [31]
Answer:
=7
Step-by-step explanation:
sum of all no÷total no
=1+2+3+4+5+6+7+8+9+10+11+12+13 ÷ 13
=91 ÷ 13
=7
Answer:
$460
Step-by-step explanation:
If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.
From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.
128.80/28 = 4.6
4.6 x 100 = 460
Original price = $460
Hope this helped!