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Mathematics
IMPORTANT
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Can a sum, difference, product or quotient of irrational numbers be a rational number?

Important Questions on Introduction to Mathematical Analysis

MEDIUM
Mathematics
IMPORTANT
PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Additional Problems>Q 1.17.5.
Do the equations sinx=sinx+3 have any roots?
MEDIUM
Mathematics
IMPORTANT
PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Additional Problems>Q 1.17.5.
Do the equations tanx=tanx+3 have any roots?
MEDIUM
Mathematics
IMPORTANT
PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Additional Problems>Q 1.17.6.
Prove the identity x+x22+x-x22=x2.
EASY
Mathematics
IMPORTANT
PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Additional Problems>Q 1.17.8.
Find the domains of definition of the following functions : fx=x3-x2
EASY
Mathematics
IMPORTANT
PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Additional Problems>Q 1.17.8.
Find the domains of definition of the following functions : fx=-sin2πx
MEDIUM
Mathematics
IMPORTANT
PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Additional Problems>Q 1.17.8.
Find the domains of definition of the following functions : fx=1x-x and gx=1x-x.
MEDIUM
Mathematics
IMPORTANT
PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Additional Problems>Q 1.17.8.
Find the domains of definition of the following functions : fx=arcsinx-3
MEDIUM
Mathematics
IMPORTANT
PROBLEMS IN CALCULUS OF ONE VARIABLE>Chapter 1 - Introduction to Mathematical Analysis>Additional Problems>Q 1.17.8.
Find the domains of definition of the following functions : fx=arccos1sinx.