Write the meaning of the following words in Japanese (Hiragana). 

i) Library

ii) University

iii) Book

iv) Japan

v) Country

Write the days of the week in Japanese.

Write the months in Japanese.

Write the name of five festivals of Japan in Japanese (Hiragana).

Write the Katakana incorrect order.

 Write the Hiragana incorrect order.

 If A =    show that A² = A^-1

Find the angle between the lines x−5/2​=y−5/1​=−z+1/-1​ and x/3​=y−1​/2=z+5/3​.

If a=5i^−j^​−3k^ and b=i^−3j^​−5k^, show that a+b and a−b are perpendicular to each other.

 Evaluate the integral ∫ e^x(e^x+7)⁵dx.

If y=ax+b/x​, show that x²  d²y/dx²​+x dy/dx​−y=0

If α and β are roots of x²−3ax+a²=0 and α2+β²=9/7​, find the value of a.

Use the principle of mathematical induction to show that 1+3+5+ -------- + (2n -1) = n²  for each n∈N.

If A = [2 -1 3] and B=  check

Whether AB = BA.

 Snow that  

Shunyavada

Cynicism

 Thales

Aranyakas

Rationalism