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bagirrra123 [75]
3 years ago
15

12 + x to the power of 4 - 6 when x = 8

Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

value of  12+x^4-6 at x=8 is  5002 .

<u>Step-by-step explanation:</u>

here we need to evaluate 12 + x to the power of 4 - 6 when x = 8 or , 12+x^4-6 where x=8 . Let's find out:

⇒ 12+x^4-6

Putting x =8 :

⇒ 12+8^4-6

Splitting 8 to power 4 into 8 to power 2 ( 2 times )

⇒ 12+8^2(8^2)-6

⇒ 12+64(64)-6

⇒ 12+4096-6

⇒ 4096+6

⇒ 5002

Therefore , value of  12+x^4-6 at x=8 is  5002 .

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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
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Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

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Step-by-step explanation:

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