Find the critical numbers of the function. (enter your answers as a comma-separated list. if an answer does not exist, enter dne.) f(x) = 6 + 1 4 x − 1 2 x2

The critical number of the given function is OR 7/12

A number is critical if it makes the derivative of the expression equal 0.

Therefore, to find the critical numbers of the given function, we will first determine its derivative.

From the question, the given function is f(x) = 6 + 1 4 x − 1 2 x2.

This can be properly written as

Then the derivative is

∴

Hence, the derivative of the given function is 14 - 24x

Now, to determine the critical numbers, we will set the derivative equals to 0.

That is,

Then,

Now, divide both sides by 24

∴

Hence, the critical number of the given function is OR 7/12

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1,589.63 in.^3

step-by-step explanation:

i hope this you : d

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.