Recent questions tagged exercise8-1

Show that $9^{n+1} – 8n – 9$ is divisible by $64$, whenever $n$ is a positive integer.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find $(x+1)^6 + (x – 1)^6$. Hence, evaluate $( \sqrt2 + 1)^6+(\sqrt 2 –1)^6$.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Find $ (a + b)^4 - (a - b)^4.$ Hence, evaluate $( \sqrt3 + \sqrt2)^4 - (\sqrt 3 - \sqrt 2)^4$.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, indicate which number is larger $(1.1)^{10000}$ or $1000$.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, evaluate $101^4$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, evaluate $99^5$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, evaluate $102^6$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Using Binomial Theorem, evaluate $96^3$.

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Expand the expression: $(x + \large\frac{1}{x}$$)^6$

asked Apr 9, 2014 by balaji.thirumalai

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Expand the expression: $\large(\frac{x}{3} + \frac{1}{x})$$^5$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Expand the expression: $(2x-3)^6$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Expand the expression: $\large(\frac{2}{x} - \frac{x}{2})$$^5$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Expand the expression: $(1-2x)^5$

asked Apr 9, 2014 by balaji.thirumalai

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Find the differential equation that will represent the family of all circles having centres on the X-axis and the radius is unity.

asked Apr 15, 2013 by poojasapani_1

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Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $a , m, $ both are parameters.

asked Apr 15, 2013 by poojasapani_1

1 answer

Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $a$ is the parameter.

asked Apr 15, 2013 by poojasapani_1

1 answer

Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $m$ is the parameter.

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=Ae^{2x} \cos (3x , +B ) [A , B ]$

asked Apr 15, 2013 by poojasapani_1

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Form the differential equuations by eliminating arbitary constants given in brackets against each $y=e^{mx} [m] $

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y= e^{3x}(C \cos 2x +D \sin 2x ) [C , D ]$

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each $y=(A+Bx)^{e^{\Large 3x}} [A , B ] $

asked Apr 15, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $ y=Ae^{2x}+Be^{-5x} [A , B ]$

asked Apr 15, 2013 by poojasapani_1

1 answer