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3 years ago

Differentiation Find the formula to find the gradient

Mathematics

2 answers:

Alla [95]3 years ago

6 0

Answer:

x + 4/3x^3

Step-by-step explanation:

y=1/2x^2-2/3x^-2

dy/dx=1/2(2x)-2/3(-2x^-3)

=x+4/3 x^-3

=x+4/3x^3

mafiozo [28]3 years ago

3 0

Answer:

X+4/3x3 is the answer for the differentiation question

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Step-by-step explanation:

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2 years ago

Question 2 of 5

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$Question$

Which two ratios represent quantities that are proportional?

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20:24 is My Answer

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y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio

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3 years ago

Determine whether quantities vary directly or inversely and find the constant of variation. 16 factory workers made 40 pieces in

Andrei [34K]

Answer:

Part A) $8\ workers$

Part B) $10\ workers$

Part C) $40\ workers$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

x -----> the number of workers

y ----> the number of pieces made

In this problem

The relation between the variables x and y represent a direct variation (proportional variation)

For x=16, y=40

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{y}{x}$

$k=\frac{40}{16}\\k=2.5\ \frac{pieces}{worker}$

The linear equation is equal to

$y=2.5x$

Part A) How many workers are needed to make 20 pieces

For y=20 pieces

substitute in the linear equation

$20=2.5x$

$x=8\ workers$

Part B) How many workers are needed to make 25 pieces

For y=25 pieces

substitute in the linear equation

$25=2.5x$

$x=10\ workers$

Part C) How many workers are needed to make 100 pieces

For y=100 pieces

substitute in the linear equation

$100=2.5x$

$x=40\ workers$

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3 years ago

Differentiation Find the formula to find the gradient ​

Differentiation Find the formula to find the gradient