Recent questions tagged exercise5-1

Express the following expression in the form $\;\normalsize a + \normalsize ib : \large\frac{(\normalsize 3 + \normalsize i \sqrt{5})(\normalsize 3 - \normalsize i \sqrt{5})}{(\normalsize \sqrt{3} + \normalsize i \sqrt{2})-(\normalsize \sqrt{3} - \normalsize i \sqrt{2})}$

asked Apr 10, 2014 by yamini.v

1 answer

Find the multiplicative inverse of the complex number $\;\normalsize -i\;$

asked Apr 10, 2014 by yamini.v

1 answer

Find the multiplicative inverse of the complex number $\;\sqrt{5} +3 \normalsize i\;$

asked Apr 10, 2014 by yamini.v

1 answer

Find the multiplicative inverse of the complex number $\;\normalsize 4-\normalsize 3 \normalsize i\;$

asked Apr 10, 2014 by yamini.v

1 answer

Express the given complex number in the form $\;a+ib : (-2-\large\frac{1}{3} \normalsize i)^{3}$

asked Apr 9, 2014 by yamini.v

1 answer

Express the complex number given below in the form $a+ib$: $(5i)\;(-\large\frac{3}{5}$$i)$

asked Apr 9, 2014 by balaji.thirumalai

1 answer

Express the given complex number in the form $\;a+ib : (\large\frac{1}{3}$$+3i)^{3}$

asked Apr 9, 2014 by yamini.v

1 answer

Express the given complex number in the form $\;a+ib : (1-i)^{4}$

asked Apr 9, 2014 by yamini.v

1 answer

Express the given complex number in the form $\;a+ib :\;[( \normalsize \large\frac{1}{3} +\normalsize i \normalsize \large\frac{7}{3}) + (\normalsize 4 + \normalsize i \normalsize \large\frac{1}{3})-( \normalsize -\large\frac{4}{3}+ \normalsize i)]$

asked Apr 9, 2014 by yamini.v

1 answer

Express the complex number $(\large\frac{1}{5} + i\large\frac{2}{5})-(4 + i (\large\frac{5}{2}))$ in the form $a+ib$

asked Apr 9, 2014 by yamini.v

1 answer

Express the complex number $(1-i)-(-1+6i)$ in the form $a+ib$

asked Apr 9, 2014 by yamini.v

1 answer

Express the complex number $3(7+i7) + i(7 + i7)$ in the form $a+ib$

asked Apr 9, 2014 by yamini.v

1 answer

Express the complex number $i^{-39}$ in the form $a+ib$

asked Apr 9, 2014 by yamini.v

1 answer

Express the complex number $i^{9}+i^{19}$ in the form $a+bi$

asked Apr 9, 2014 by yamini.v

1 answer

Gravel is being dumped from a conveyor belt at a rate of $30\;ft^{3}/min$ and its coarsened such that it forms a pile in the shape of the cone whose base diameter and hight are always equal. How fast is the hight of the pile increasing when the pile is $10$ ft hight?

asked May 1, 2013 by poojasapani_1

1 answer

Two sides of a tringle have length $12$m and $15$m. The angle between them is increasing at a rate of $2^{\circ}/min.$ How fast is the length of third side increasing when the angle between the sides of fixe is $60^{\circ}$?

asked May 1, 2013 by poojasapani_1

1 answer

Two sides of a tringle are $4$m and $5$m in length and the angle between them is increasing at a rate of $0.06$ rad/sec. Find the rate at which the area of tringle is increasing when the angle between the sides of fixed length is $\pi/3$.

asked May 1, 2013 by poojasapani_1

1 answer

At noon, ship $A$ is $100$ km west of ship $B$. Ship $A$ is sailing east at $35$ km/hr and ship $B$ is sailing north at $25$km/hr. How fast is the distance between the ships changing at $4.00$pm.

asked May 1, 2013 by poojasapani_1

1 answer