The polynomial functions that has the largest second derivative at x = 0 is; y = x³ + 2x² - 5x + 10
<h3>How to find the second derivative of a Polynomial?</h3>
The second derivative of a function is simply defined as the derivative of the function's derivative.
Thus;
A) If y = 5x⁵ - x³ + 4x
dy/dx = 25x⁴ - 3x² + 4
d²y/dx² = 100x³ - 6x
Thus at x = 0, we have;
d²y/dx² = 0
B) y = 3x⁴ + x² + 16
dy/dx = 12x³ + 2x
d²y/dx² = 36x² + 2
At x = 0, the second derivative is;
d²y/dx² = 2
C) y = 4x⁶ + x² - 1
dy/dx = 24x⁵ + 2x - 1
d²y/dx² = 48x⁴ + 2
At x = 0, the second derivative is;
d²y/dx² = 2
D) y = x³ + 2x² - 5x + 10
dy/dx = 3x² + 4x - 5
d²y/dx² = 6x + 4
At x = 0, the second derivative is;
d²y/dx² = 4
E) y = 10x⁵ + 3x³ - 7x + 2
dy/dx = 50x⁴ + 9x² - 7
d²y/dx² = 200x³ + 18x
At x = 0, the second derivative is;
d²y/dx² = 0
Read more about Second derivative at; brainly.com/question/2154132
#SPJ1
Person: Number of prints Total Cost
Shelby 5 2.70
Allen 11 3.24
Denise 20 4.05
To solve for the variable cost:
11 - 5 = 6
3.24 - 2.70 = 0.54
0.54 / 6 = 0.09 per print
To solve for the fixed cost
0.09 x 5 = 0.45
2.70 - 0.45 = 2.25
y = 2.25 + 0.09x
y = 2.25 + 0.09(5) = 2.25 + 0.45 = 2.70
y = 2.25 + 0.09(11) = 2.25 + 0.99 = 3.24
y = 2.25 + 0.09(20) = 2.25 + 1.8 = 4.05
Answer:
24
Step-by-step explanation:
A brainiest, rating, or thanks would be appreciated!
Have a great day and let me know if you need more help
:)
Answer: You could use 4 dollar bills and 3 quarters
Step-by-step explanation: