proof sec x using derivative first principle

Answer:

Highly viscous lava is associated with

explosive eruptions and dangerous pyroclastic flows.

●An example of a low viscosity (fast flowing) lava is basaltic lava. This flows quickly out of a volcano at a temperature of about 950 degrees Celsius.

Answer:

More viscous lava flows relatively slower.

Explanation:

The viscosity of liquids is a measurement of how thick or syrupy they are. Lava with a low viscosity can flow quickly across great distances. Lava bubbles packed with volcanic gases can also form on the surface of the lava and burble and pop. Volcanoes with low lava viscosity have a wide spread and shallow slope.

When lava has a high viscosity, it is thick and difficult to flow. You can have crumbled masses of rock streaming down hill instead of lava rivers. It can also jam the volcanic vent, forming blocks that prevent lava from flowing. Viscous lava will hold pockets of gas within the rock, rather than allowing them to escape as surface bubbles.

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Answer:

attributes are statistically dependent of one another given the class value.

Answer:

We observe that 336=2×2×2×2×3×7. Here both 3 and 7 occur only once. Hence we have to remove them to get a perfect square.

We divide 336 by 3 × 7 = 21 and get

336/21 = 16 = 4^2

The least number required is 21.

Answer:

According to the question,

In vessels A,

Spirit = 5 × 2/5 = 2

Water = 5 × 3/5 = 3

In vessels B,

Spirit = 3 × 3/7= 9/7

Water = 3 × 4/7 = 12/7

In vessels C,

Spirit = 2 × 4/9 = 8/9

Water = 2 × 5/9 = 10/9

Total spirit = 2 + 9/7 + 8/9 = 263/63

Total water = 3 + 12/7 + 10/9 = 367/63

Ratio (in final solution) = S : W= 263/63 : 367/63 = 263 : 367

Now, let the spirit in solution be 263x litres

Let the water in solution be 367x litres

Then, final solution = 263x + 367x = 630x

According to the question,

630x = 1.26

⇒ x = 1.26/630 = 0.002 litre

Then, water = 263x = 263 × 0.002 = 0.526

Spirit = 630x = 630 × 0.002 = 0.734

318 ml (318/1000 = 0.318) of water is added,

Then, 0.318 + 0.734 = 1.052

The ratio of spirit and water in the final solution = 1.052 : 0.526 = 1 : 2

∴ The ratio of spirit and water in the final solution is 1 : 2.

Step-by-step explanation:

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Answer:

According to Question,

2 × 3/7 + 3 × 5/14 : 2 × 4/7 + 3 × 9/14

= 6/7 + 15/14 : 8/7 + 27/14

= (27)/14 : (43)/14

= 27 : 43

Ratio of water and sprit in new vessel = 43 : 27

Detailed Solution :

Ratio of spirit and water in vessel A = 3 : 4 --- (1)

Ratio of spirit and water in vessel B = 5 : 9 --- (2)

Multiply by 2 × 2 in equation (1) and multiply by 3 in equation (2)

Ratio of water and sprit in new vessel = (16 + 27) : (12 + 15) = 43 : 27