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Answer:
There will be 330 7th grade students in this middle school this year.
Step-by-step explanation:
Last year enrollment = 150 students
As the enrollment increased by 120%.
i.e.
Number of Percentage increase = 120% × 150 = 120/100 × 150
= 1.2 × 150
= 180
Thus,
Total students this year = No. of Percentage increase + Last year students
= 180+150
= 330 students
Therefore, there will be 330 7th grade students in this middle school this year.
It is an indication that a mistake has been made, or that your imagination is working well.
_____
There are no physical units that correspond to the square root of a degree C. Degrees C is an arbitrary scale, so the square root of a number from that scale has no meaning. In the world of complex numbers, the square root of a negative number is imaginary. By attaching units of degrees C to the number, you have escaped the world of complex numbers and made your way to fantasy land.
In short, it is anything you want it to call it, as it is not anything that is defined in the realm of math or physics in the world we usually deal with.
The second derivative at the point (2,2) is 34/9
<u>Explanation:</u>
<u></u>
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