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2 years ago

12

Find the derivative of y= (3x –1) 2with respect to x.

1 answer:

mixas84 [53]2 years ago

6 0

Answer:

dy/dx = 18x – 6

Step-by-step explanation:

y = (3x – 1)²

Take derivative using power rule and chain rule:

dy/dx = 2 (3x – 1) × 3

dy/dx = 6 (3x – 1)

dy/dx = 18x – 6

You can check this answer by simplifying y before taking the derivative.

y = 9x² – 6x + 1

dy/dx = 18x – 6

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In △ABC, ∠ABC = 60 degrees .

ira [324]

A given<u> shape</u> that is <em>bounded</em> by three <u>sides</u> and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of <u>PB</u> is 8.0 units.

A given <em>shape</em> that is <u>bounded</u> by three<em> sides</em> and has got three <em>internal angles</em> is referred to as a <u>triangl</u>e. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the<em> internal angles</em> of any <u>triangle</u> is $180^{o}$ .

In the given question, point<u> P</u> is <u>center</u> of the given <u>triangle</u> such that <APB = <APC = <BPC = $120^{o}$ . Such that <u>line</u> PB <em>bisects</em> <ABC into two <u>equal</u> measures of $30^{o}$ .

Thus;

<ABP = $30^{o}$

Thus,

<ABP + <APB + <BAP = $180^{o}$

30 + 120 + <BAP = $180^{o}$

<BAP = $180^{o}$ - 150

<BAP = $30^{o}$

Apply the <em>Sine rule</em> to determine the value of PB, such that;

$\frac{a}{SinA}$ = $\frac{b}{SinB}$

$\frac{8}{Sin 30}$ = $\frac{PB}{Sin 30}$

BP = $\frac{8*Sin 30}{Sin 30}$

= 8

BP = 8.0

Therefore, the value of <u>PB</u> = 8 units.

For more clarifications on Sine rule, visit: brainly.com/question/27174058

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5 0

1 year ago

X + 5 ≤ 13 what's the answer for this question?

wariber [46]

Answer:

Inequality Form: x ≤ 8

Interval Notation: (-∞,8]

Step-by-step explanation:

x + 5 ≤ 13

Subtract 5 on both sides...

13 - 5 = 8

You're left with x ≤ 8

Inequality Form: x ≤ 8

Interval Notation: (-∞,8]

6 0

3 years ago

What is the least significant place in 0.1030

olchik [2.2K]

<h3>Least Significant Digit Place (LSD)</h3>

The Least Significant Digit Place, or LSD, is the digit with the least value in a string of numbers.

In 0.1030, there are 4 different significant places. 0.<u>1030</u>

For 0.1030, the least valuable digit place is the 0.103<u>0</u>. This is because this numeral appears at the end of the string, and is the least valuable.

5 0

2 years ago

Read 2 more answers

Which system has infinitely many solutions?

GREYUIT [131]

The answer is "b"
***************************************************

8 0

2 years ago

Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl

MakcuM [25]

The equation for the direct variation is y= kx (where k is contant of variation.)

This equation represent that if x will increase then y will also increase because it's k times x.

Where the equation for indirect variation is $y=\frac{1}{k} x$

By this equation if x will increase then y will decrease and vice versa.

The given data is :

x: 2 4 8 12

y: 4 2 1 2/3

Notice as x is increasing then y is decreasing. Like x has increased from 2 to 4 then y is decresing from 4 to 2 and so on.

So, the given data represent an indirect variation.

7 0

3 years ago