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Complex number, If z=re i ? ,find the value of |e iz | Solution)   z=r(c...

If z=re i ? ,find the value of |e iz | Solution)   z=r(cos1+isin1) |e iz |=|e ir(cos1+isin1) |=|e -rsin1 |=e -rsin1

What is the integratin of 1/sin2x?, ∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cos...

∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + c Detailed derivation of ∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx = ∫(cosec 2 x

Total accumulation of the amount deposited in saving account, A bank pays o...

A bank pays on its savings an interest rate of 6% per year but compounds interest monthly (i.e., estimates the interest each month and adds it to the balance).  You plan to deposit

Assisnment, How a student of mathematics of b.sc can make an assignment on...

How a student of mathematics of b.sc can make an assignment on topic of asymptotes?

Infinity, Are there more rational numbers than integers?#

Are there more rational numbers than integers?#

Complex numbers, A number of the form x + iy, where x and y are real and na...

A number of the form x + iy, where x and y are real and natural numbers and is called as a complex number. It is normally given by z. i.e. z = x + iy, x is called as the real part

Solving decimal equations, The distance around a square photograph is 12.8 ...

The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?

Subjective probability, Subjective Probability Probability may be de...

Subjective Probability Probability may be determined by a personal statement of how likely an outcome is in a single trial or repetition of the same experiment. Since sub

The arithmetic mean, Arithmetic mean Arithmetic means is commonly know...

Arithmetic mean Arithmetic means is commonly known as average or mean it is acquired by first of all summing up the values provided and by dividing the total value by the tota

Solid Mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

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