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Prove That Derivative Of Sin 1x 1 1 X2

The inverse trigonometric function are represented by adding arc in prefix for a trigonometric function, or by adding the power of -1, such as:... View Article

What Does A 2 1 Ratio Mean

The comparison or simplified form of two quantities of the same kind is referred to as ratio. This relation gives us how many times one quantity... View Article

What Is A Normal Probability Curve

The Normal Distribution, also called the Gaussian Distribution, is the most significant continuous probability distribution. It is also known as... View Article

Prove Sin A B Sin A B 2sina Sinb

We have to prove sin(A+B) + sin(A-B) = 2sinA sinB Let us start with LHS sin(A+B) + sin(A-B) We have learnt the identity sin (A + B)... View Article

Convert 13 16 Into Decimal

To convert fraction to a per cent, you just need to multiply the fraction by 100 and reduce it to per cent. Here are a few examples that will... View Article

What Is The Integral Of Cos2 Theta

Let u=cosx , dv=cosxdv , du=−sinxdx v=sinx . ∫udv =uv−∫vdu ∫cosx cosxdx =cosx sinx−∫sinx(−sinx)dx cos... View Article

Find The Square Root Of 52 In Radical Form

Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an... View Article

Solve 2x 3y 5 Using Binomial Theorem

Let us solve the given expressionusing binomial theorm (2x + 3y) 5 = 5C0 (2x)5 (3y)0 + 5C1 (2x)4 (3y)1 + 5C2 (2x)3 (3y)2 + 5C3 (2x)2 (3y)3 + 5C4... View Article

What Is The Square Root Of 98

Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an... View Article

Simplify 3 4 5 6

We have to solve 3/4 + 5/6 3/4 + 5/6 Now we will take the LCM of denominators 4 and 6 LCM of 4 and 6 First write the common multiples of... View Article

Evaluate 3c2

We have to evaluate the expression 3C2 To evaluate the expression 3C2 we use the following formula nCr =n!/r! (n - r)! n = 3 r = 2... View Article

How Do You Evaluate Log 0 01

log0.01 10 Let log0.01 10 = x (0.01)x = 10 (10-2)x = 101 10-2x = 101 -2x = 1 We get, x = (- 1 / 2) Hence, the value of x is (-1 / 2)... View Article

How Do You Find The Square Root Of 20

We have to find the square root of 20 We will find the square root using prime factorisation The prime factorisation of 20 is given below... View Article

What Is The Size Of The Exterior Angle Of A Regular Hexagon

A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Exterior angle = Θ = 360 / n Where ni is... View Article

How Do You Simplify 16 3 4

We have to find the value of 16 3/4 We know that 16 can be expressed in the power of 2 16 = 2 X 2 X 2 X 2 16 = 24 Hence the given number... View Article

29 Dec 2020: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 29th December 2020. Important news and views to... View Article

Is Blood A Polygenic Trait

Blood type is an example of multiple allelism. There are three alleles present for the gene I. An individual contains a pair of alleles, which... View Article

How Do Birds Help The Ecosystem

Birds help in pollination, seed dispersal. They are an important part of food webs and energy flow in the ecosystem. Birds are a part of many... View Article

How Do Earthworms Return Nutrients To The Ecosystem

Earthworms return nutrients through their cast. Nitrogen and phosphorus, etc. present in the earthworm cast increases the nutrient concentration... View Article

How Do Butterflies Help The Ecosystem

Butterflies are the main pollinators for sexual reproduction in plants. Many other animals such as birds, lizards, etc. feed on them. They play... View Article

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