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4 years ago

Match the following items.

Mathematics

2 answers:

Gwar [14]4 years ago

8 0

Answer:

1. Prefix meaning 1/1,000 → milli

2. Prefix measuring 1,000 → kilo

3. Prefix meaning 1/100 → centi

4. Base unit of distance → meter

5. Base unit of mass → kilogram

6. Base unit of volume → Liter

Step-by-step explanation:

1. Prefix meaning 1/1,000 → milli

Milli is a unit prefix in a metric system which denotes the factor of a $10^{-3}$

2. Prefix measuring 1,000 → kilo

Kilo is a unit prefix in a metric system which denotes the factor of a $10^3$ .

3. Prefix meaning 1/100 → centi

Centi is a unit prefix in a metric system which denotes the factor of a $10^{-2}$

Base unit are those units which are defined independently and not by combination of other units.

4. Base unit of distance → meter

Distance is measured in meter

5. Base unit of mass → kilogram

Mass is measured in kilogram

6. Base unit of volume → Liter

Volume is measured in liters

ASHA 777 [7]4 years ago

7 0

1 is milli. 2 is kilo. 3 is centi. 4 is meter. 5 is kilogram. 6 is liter.

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<u>Differentiate using the Quotient Rule</u> –

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According to the given question, we have –

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Let's solve it!

$\qquad$ $\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{(x^2-1) \dfrac{d}{dx}(x^3+5x+2) - ( x^3+5x+2) \dfrac{d}{dx}(x^2-1)}{(x^2-1)^2 }\\$

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$\qquad$ $\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-2x^4-10x^2-4x}{(x^2-1)^2 }\\$

$\qquad$ $\green{\twoheadrightarrow \bf \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}\\$

$\qquad$ $\pink{\therefore \bf{\green{\underline{\underline{\dfrac{d}{dx} \dfrac{x^3+5x+2 }{x^2-1}} = \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}}}}\\\\$

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