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Gaurav Seth 2 weeks, 2 days ago
De moivre’s Formula
Mathematical Statement: For any real number x, we have
(cos x + i sin x)^n = cos(nx) + i sin(nx)OR {tex}(e^{i \theta})^n = e^{in \theta}(eiθ)n=einθ {/tex}Where n is a positive integer and “ i “ is the imaginary part, and i = √(-1). Also assume i2 = -1.
Remark: Result can be shown true when n is a negative integer and even
n is a rational number.
Posted by Omkumar Untwal 2 weeks, 6 days ago
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Yogita Ingle 2 weeks, 6 days ago
Prop roots are adventitious roots in nature and are aerial roots also known as pillar roots. These thick aerial roots grow from horizontal branches and provide support like pillars. E.g. is Ficus bengalensis.
Posted by Bipasha Singh 3 weeks, 3 days ago
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Posted by Uday Gowda M 4 weeks ago
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Gaurav Seth 4 weeks ago
The degree measure of 1 radian (taking π = (22 / 7)) is 57°16’22” (approx.)
π = radian = 180°
| ∴ 1 radian = | <center>180°</center> | |
| π |
| = | <center>180 × 7°</center> | |
| 22 |
| = | <center>630</center> | = 57 | <center>3</center> | ° | |
| 11 | 11 |
| = 57° | <center>3</center> | × 60" = 57° | <center>180'</center> | ||
| 11 | 11 |
| = 57°16' | <center>4</center> | × 60" = 57°16'22" |
Posted by Javed Khan 1 month ago
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Gaurav Seth 1 month ago
Antigens are large molecules of proteins, present on the surface of the pathogen- such as bacteria, fungi viruses, and other foreign particles. When these harmful agents enter the body, it induces an immune response in the body for the production of antibodies.
For example: When a common cold virus enters the body, it causes the body to produce antibodies to prevent from getting sick.
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Yogita Ingle 1 month, 1 week ago
Dark reaction is also called carbon-fixing reaction. It is a light-independent process in which sugar molecules are formed from the carbon dioxide and water molecules.
The dark reaction occurs in the stroma of the chloroplast, where they utilize the products of the light reaction.
Plants capture the carbon dioxide from the atmosphere through stomata and proceed to the Calvin cycle.
In the Calvin cycle, the ATP and NADPH formed during light reaction drives the reaction and convert six molecules of carbon dioxide into one sugar molecule, i.e. glucose.
Posted by Tommy Chongloi 1 month, 2 weeks ago
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Yogita Ingle 1 month, 2 weeks ago
The first recorded Olympic Games were held at Olympia in the Greek city-state of Elis in 776 B.C., but it is generally accepted that the Olympics were at least 500 years old at that time. The ancient Olympics, held every four years, occurred during a religious festival honoring the Greek god Zeus.
Posted by Krishna Chander 1 month, 2 weeks ago
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Gaurav Seth 1 month, 2 weeks ago
The normal room temperature which would be comfortable for living is around 20 - 25° C.
In chemistry, The upper limit 25°C is taken as Standard room temperature .
We know that,
Temperature on Celsius + 273 = Temperature on Kelvin.
Now,
25°C = 25 + 273 = 298K .
Therefore, The standard room temperature in Kelvin is 298 k
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Yogita Ingle 1 month, 3 weeks ago
In short, the Big Bang hypothesis states that all of the current and past matter in the Universe came into existence at the same time, roughly 13.8 billion years ago. At this time, all matter was compacted into a very small ball with infinite density and intense heat called a Singularity. Suddenly, the Singularity began expanding, and the universe as we know it began.
Posted by Raza Faizi 1 month, 4 weeks ago
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Harsh Mishra 1 month, 2 weeks ago
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