Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

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12th Andhra Pradesh Board

IMPORTANT

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If $|x|$ is so small that $x^{2}$ and higher powers of $x$ may be neglected, then find approximate value of $\sqrt{4 - x} {(3 - \frac{x}{2})}^{- 1}$ .

Important Questions on Binomial Theorem

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

If

|x|

is so small that

x^{2}

and higher powers of

x

may be neglected, then find approximate value of

\frac{\sqrt{4 + x} + \sqrt[3]{8 + x}}{(1 + 2 x) + (1 - 2 x)^{\frac{- 1}{3}}}

.

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

If

|x|

is so small that

x^{2}

and higher powers of

x

may be neglected, then find approximate value of

\frac{(8 + 3 x)^{\frac{2}{3}}}{(2 + 3 x) \sqrt{4 - 5 x}}

.

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

Suppose

s

and

t

are positive and

t

is very small when compared to

s

. Then find an approximate value of

{(\frac{s}{s + t})}^{\frac{1}{3}} - {(\frac{s}{s - t})}^{\frac{1}{3}}

.

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

Suppose

p, q

are positive and

p

is very small when compared to

q

. Then find an approximate value of

{(\frac{q}{q + p})}^{\frac{1}{2}} + {(\frac{q}{q - p})}^{\frac{1}{2}}

.

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

By neglecting

x^{4}

and higher powers of

x

, find an approximate value of

\sqrt[3]{x^{2} + 64} - \sqrt[3]{x^{2} + 27}

.

EASY

12th Andhra Pradesh Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 6 - Binomial Theorem>Exercise 6(c)>Q I

Expand

3 \sqrt{3}

in increasing powers of

\frac{2}{3}

.