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4 years ago

An equation is 18=0.32 multiplied by w

Mathematics

1 answer:

castortr0y [4]4 years ago

7 0

So whats the question? Sorry im confused

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If f is a differentiable function, find an expression for the derivative of each of the following functions

almond37 [142]

12a. Answer: d) x⁶ f'(x) + 6x⁵ f(x)

Step-by-step explanation:

Use the multiplication formula for derivatives:

y = a · b → y' = a'b + ab'

y = x⁶ · f(x)

a = x⁶ b = f(x)

a' = 6x⁵ b' = f'(x)

y' = a'b + ab'

y' = 6x⁵ f(x) + x⁶ f'(x)

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12b. Answer: $\bold{b)\ y=\dfrac{xf'(x)-9f(x)}{x^{10}}'}$

Step-by-step explanation:

Use the division formula for derivatives:

$y=\dfrac{a}{b}$ → $y' = \dfrac{a'b - ab'}{b^2}$

$y=\dfrac{f(x)}{x^9}\\\\a=f(x)\qquad b=x^9\\\\a'=f(x)\qquad b'=9x^8\\\\y'=\dfrac{a'b-ab'}{b^2}\\\\y'=\dfrac{x^9f'(x)-9x^8f(x)}{(x^9)^2}\\\\.\ =\dfrac{x^9f'(x)-9x^8f(x)}{x^{18}}\\\\\text{factor out }x^{8}: y'=\dfrac{xf'(x)-9f(x)}{x^{10}}$

Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.

5 0

3 years ago

Which of the following is a counterexample that proves the conditional statement false?

Masja [62]

The answer is “A. 12” because 12 is NOT divisible by 8

7 0

4 years ago

Tatia is helping her mother make pancakes. Tatia's mother told

Korolek [52]

There are 3 cups of pancake mix in the bowl

3 0

3 years ago

Which equation represents the line passing through the point (4, −5) that is parallel to the line x + 2y = 10?

SVETLANKA909090 [29]

Answer:

get photomath it will answer this

4 0

3 years ago

four hundred forty-two students were placed into 24 groups with about the same number of students in each group. Using compatibl

ioda

First we have to divede the tota of students into the sice of each grop so:

$\frac{442}{24}=18.4$

So we can aproximate this to a whole number so:

$\frac{450}{25}=18$

6 0

1 year ago