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Alexandra [31]
8 months ago
11

Which of these polynomial functions has the largest second derivative at X=0?

Mathematics
1 answer:
balandron [24]8 months ago
5 0

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

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The distance travelled in (m) by a ball dropped from a height are 128/9,32/3,8,6,...
Allushta [10]

Answer: it will trave 56.89 meters before coming to rest.

Step-by-step explanation:

This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as

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From the information given,

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Therefore,

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2 years ago
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Which equation represents a line with a slope of -2/3 that passes through point (5, -2)?
serg [7]

Answer:

c) 2x + 3y = 4

Step-by-step explanation:

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Then convert to Standard Form:

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__________

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Linear equation topic. (Lisa is 5 years younger than his elder brother,Daniel.The product of their ages is 2/3 of their grandmot
alisha [4.7K]
Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
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√∆ = √169 = 13
x\:  =  \:  \frac{ - b \:   \frac{ + }{ }   \:  \sqrt{ {b}^{2}  \:  -  \: 4ac} }{2a}
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