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Fudgin [204]
3 years ago
7

Which of the following functions are quadratic functions? (Select all that apply.)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0
C. because in order for it to be a quadratic the equation has to have a squared value 
(ax2+bx+c)

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Step-by-step explanation:

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If F(x) = f(x)g(x), where f and g have derivatives of all orders
user100 [1]

a. By the product rule,

F=fg\implies F'=f'g+fg'

\implies F''=(f''g+f'g')+(f'g'+fg'')=f''g+2f'g'+fg''

b. By the same rule,

F'''=(f'''g+f''g')+2(f''g'+f'g'')+(f'g''+fg''')

F'''=f'''g+3f''g'+3f'g''+fg'''

and

F^{(4)}=(f^{(4)}g+f'''g')+3(f'''g'+f''g'')+3(f''g''+f'g''')+(f'g'''+fg^{(4)})

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c. You might recognize the coefficients as those that appear in the expansion of (a+b)^n:

1, 1

1, 2, 1

1, 3, 3, 1

1, 4, 6, 4, 1

and so on; the general pattern (known as the general Leibniz rule) is

F^{(n)}=\displaystyle\sum_{k=0}^n\binom nkf^{(n-k)}g^{(k)}

6 0
3 years ago
A tree that is 10 feet tall is growing at a rate of 2 foot each year. A tree that is 14 feet tall is growing at a rate of 2/3 fo
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after three years

Step-by-step explanation:

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