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
An angle is where two lines intersect at a point. It is measured by the distance between the two lines in degrees. Boom. Did it without math-ey words. i'm da best
Answer:
The answer is (x,y)=(-3,-2)
Step-by-step explanation:
I used the comparison method because I dont know what type of method you needed, sorry. The methods I know would be: the Comparison Method (what I used), the Substitution Method, Elimination Method,Inverse Matrix Method, Cramer's Rule, and the Gauss-Jordan Method.
You can also rewrite this equation to 3x-y=-7 and x-y=-1.
I'm sorry, I dont know what kind of answer you're looking for. I really hope this helps.
Answer:
$6
Step-by-step explanation:
Step 1:
36.75 × 4 = 147
Step 2:
51 × 3 = 153
Step 3:
153 - 147 = 6
The group of 12 students will save $6 by choosing the Science Center.
The key to this question is calculating the percentage of students within each category (honor roll or non-honor roll) who received the class requested. We need to calculate the ratio of students who received the class they requested and who did not for both honor roll and non-honor roll students :
Honor Roll :
215 + 80 = 295 total honor roll students
215/295 = 72.88% = percentage of honor roll students who received class requested
80/295 = 27.12% = percentage of honor roll students who did not receive class requested
Non-Honor Roll :
125 + 80 = 205 total non-honor roll students
125/205 = 60.98% = percentage of non-honor roll students who received class requested
80/205 = 39.02% = percentage of non-honor roll students who did not receive class requested
72.88% of honor roll students received the preferred class as opposed to only 60.98% of non-honor roll students. Therefore, there is an advantage.
