A)$391,000
B)$417,000
C)$404,000
D)$411,000
My answer is D) $411,000 in 2011.
There is an average increase of 4% from the previous budget to arrive at the amount of the current year.
2009 budget $381,700
381,700 * (1.04)² = 381,700 * 1.0816 = 412,846.72 only Choice D. is nearest to the amount
2000 budget $265,100
265,100 * (1.04)¹¹ = 265,100 * 1.540 = 408,254 only Choice D. is nearest to the amount.
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
