The second derivative at the point (2,2) is 34/9
<u>Explanation:</u>
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2x⁴ = 4y³
2x⁴ - 4y³ = 0
We first need to find dy/dx and then d²y/dx²
On differentiating the equation in terms of x
dy/dx = d(2x⁴ - 4y³) / dx
We get,
dy/dx = 2x³/3y²
On differentiating dy/dx we get,
d²y/dx² = 2x²/y² + 8x⁶/9y⁵
d²y/dx² = 34/9
Therefore, the second derivative at the point (2,2) is 34/9
So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!
Answer:
target speed for the marathon has been achieved and exceeded
Step-by-step explanation:
Given that :
Target speed = 25 mph
Current speed = 15 miles in 1/2 an hour
Current speed :
15 miles in 0.5 hours
X miles in 1 hour
0.5x = 15 miles
X = 15 / 0.5
X = 30 miles per hour
Hence, current speed in miles per hour = 30mph
This means that her target speed for the marathon has been achieved and exceeded
Answer:\
388,000
Step-by-step explanation:
21,000-3,000=18,000
3.6% x 6 = 21.6
18,000x21.6=388,000
Answer:
5
Step-by-step explanation:
Given:
- Daily pass = $77
- Season ski pass = $450
- Skis = 20
77 + 20 = 97
450 + 20 = 470
Keep multiplying 97 with random numbers until it passes 470.
97 × 4 = 388
97 × 5 = 485
So, the skier will have to pay daily passes 5 times to be more expensive than the season pass.
Hope this helped.
