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3 years ago

Use the cubic model y=3x^3 to find the value of y when x=8

Mathematics

2 answers:

GalinKa [24]3 years ago

7 0

Answer:

Value of y is 1536.

Step-by-step explanation:

We have given an expression $y=3x^3$

We need to find the value of y when x=8

We will substitute the value of x as 8 in the given expression we get

$y=3(8)^3$

On simplification we get

$y=3(512)$

On further simplification we get:

$y=1536$

Hence, the required value that is the value of y is 1536

SpyIntel [72]3 years ago

6 0

Pemdas

exponent first

y=3(8³)
8³=512
y=3(512)
y=1536

the value is 1536

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solniwko [45]

Answer:

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Step-by-step explanation:

step 1:- by using partial fractions

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step 2:-

solving on both sides

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substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

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step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

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Answer:

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Step-by-step explanation:

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Hope this helps!

Rate 5 star and give brainliest!

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