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Recent questions tagged exercise5-1
Questions
Express the following expression in the form $\;\normalsize a + \normalsize ib : \large\frac{(\normalsize 3 + \normalsize i \sqrt{5})(\normalsize 3 - \normalsize i \sqrt{5})}{(\normalsize \sqrt{3} + \normalsize i \sqrt{2})-(\normalsize \sqrt{3} - \normalsize i \sqrt{2})}$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
asked
Apr 10, 2014
by
yamini.v
1
answer
Find the multiplicative inverse of the complex number $\;\normalsize -i\;$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
asked
Apr 10, 2014
by
yamini.v
1
answer
Find the multiplicative inverse of the complex number $\;\sqrt{5} +3 \normalsize i\;$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 10, 2014
by
yamini.v
1
answer
Find the multiplicative inverse of the complex number $\;\normalsize 4-\normalsize 3 \normalsize i\;$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 10, 2014
by
yamini.v
1
answer
Express the given complex number in the form $\;a+ib : (-2-\large\frac{1}{3} \normalsize i)^{3}$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
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}$$i)$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
sec3
q1
exercise5-1
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Express the given complex number in the form $\;a+ib : (\large\frac{1}{3}$$+3i)^{3}$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the given complex number in the form $\;a+ib : (1-i)^{4}$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the given complex number in the form $\;a+ib :\;[( \normalsize \large\frac{1}{3} +\normalsize i \normalsize \large\frac{7}{3}) + (\normalsize 4 + \normalsize i \normalsize \large\frac{1}{3})-( \normalsize -\large\frac{4}{3}+ \normalsize i)]$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
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 $a+ib$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the complex number $(1-i)-(-1+6i)$ in the form $a+ib$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the complex number $3(7+i7) + i(7 + i7)$ in the form $a+ib$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the complex number $i^{-39}$ in the form $a+ib$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the complex number $i^{9}+i^{19}$ in the form $a+bi$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
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?
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p10
q9
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 $60^{\circ}$?
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p90
q8
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 $\pi/3$.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p91
q7
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.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p90
q6
asked
May 1, 2013
by
poojasapani_1
1
answer
The altitude of a triangle is increasing at a rate of $1\; cm/min$ while the area of the triangle is increasing at a rate of $2 \;cm^{2}/min$. At what rate is the base of the triangle changing when the altitude is $10$ cm and the area is $100\;cm^{2}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p90
q5
asked
May 1, 2013
by
poojasapani_1
1
answer
Newton's law of cooling is given by $\theta=\theta_0^{\circ}e^{-kt},$ where the excess of temperature at zero time is $0^{\circ}_{\circ}C $ and at time $t$ seconds is $\theta ^{\circ}C $. Determine the rate of change of temperature after $40 s,$ given that $\theta_{\cdot}=16^{\circ}C $ and $k=-0.03.\qquad (e^{1.2}=3.3201)$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p90
q4
asked
Apr 30, 2013
by
poojasapani_1
1
answer
The distince $x$ meters traveled by a vehical in time $t$ seconds after the brakes are applied is given by:$\;x=20 t-\large\frac{5}{3}$$t^{2}$. Determine the distance the car travelled before it stops.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p-9
q3
q3-2
asked
Apr 30, 2013
by
poojasapani_1
1
answer
The distince $x$ meters traveled by a vehical in time $t$ seconds after the brakes are applied is given by:$\;x=20 t-\large\frac{5}{3}$$t^{2}$. Determine the speed of the vehicle (in km/hr) at the instant the brakes are applied
tnstate
class12
bookproblem
q5
sec-1
exercise5-1
p-89
q3
q3-1
asked
Apr 30, 2013
by
poojasapani_1
1
answer
A particle of unit mass moves so that displacement after $t$ secs is given by $x=3\cos(2t-4).$ Find the acceleration and kinetic energy at the end of $2 \;secs.[ K.E =\large\frac{1}{2}$$mv^{2}\quad m $ is mass]
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p89
q2
modelpaper
oct-2008
asked
Apr 30, 2013
by
poojasapani_1
1
answer
A missile fired from ground level rises $x$ metres vertically upwards in $t$ seconds and $x=100t-\large\frac{25}{2}t^{2}$ find the velocity with which the missile strikes the ground
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p9
q1
q1-4
asked
Apr 30, 2013
by
poojasapani_1
1
answer
A missile fired from ground level rises $x$ metres vertically upwards in $t$ seconds and $x=100t-\large\frac{25}{2}t^{2}$ find the maximum hight reached .
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p89
q1
q1-3
asked
Apr 30, 2013
by
poojasapani_1
1
answer
A missile fired from ground level rises $x$ metres vertically upwards in $t$ seconds and $x=100t-\large\frac{25}{2}t^{2}$ find the time when the height of the missile is a maximum
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p89
q1
q1-2
asked
Apr 30, 2013
by
poojasapani_1
1
answer
A missile fired from ground level rises $x$ metres vertically upwards in $t$ seconds and $x=100t-\large\frac{25}{2}t^{2}$ find the initial velocity of the missile.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-1
p9
q1
q1-1
asked
Apr 30, 2013
by
poojasapani_1
1
answer
Is the function $f (x) = 5x – 3$ continuous at $x=5$?
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
q1
sec-a
easy
q1-3
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Is the function $f (x) = 5x – 3$ continuous at $x=-3$
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
q1
sec-a
easy
q1-2
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Is the function $f(x) = 5x-3$ continous at $x=0$?
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
q1
sec-a
easy
q1-1
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Find $ \frac {dy}{dx} $ in the following: $ x^3 +x^2y + xy^2 +y^3 = 81 $
cbse
class12
bookproblem
ch5
sec3
q6
p169
exercise5-1
easy
sec-a
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
Is the function f defined by $f(x) = \left\{\begin{array}{l l} x, & \quad \text{if $x$ \( \leq \) 1}\\ 5, & \quad \text{if $x$ > 1}\\ \end{array} \right.$ continuous at $(x = 0)$? At $(x = 1)$? At $(x = 2)$?
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
sec-a
easy
q5
math
asked
Nov 7, 2012
by
thanvigandhi_1
1
answer
Examine the following functions for continuity. $f(x) = | \;x - 5\;|$
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
sec-a
easy
q3
q3-4
math
asked
Nov 7, 2012
by
thanvigandhi_1
1
answer
Examine the following functions for continuity $\; f(x) = \large \frac {x^2 - 25} {x + 5}$$, x\:\neq\: -5$
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
sec-a
easy
q3
q3-3
math
asked
Nov 7, 2012
by
thanvigandhi_1
1
answer
Examine the following functions for continuity. $f(x) = \frac {1} { x - 5}, x \: \neq \: 5 $
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
sec-a
easy
q3
q3-2
math
asked
Nov 7, 2012
by
thanvigandhi_1
1
answer
Examine the following functions for continuity. $f(x) = x-5$
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
sec-a
easy
q3
q3-1
math
asked
Nov 6, 2012
by
thanvigandhi_1
1
answer
Prove that the function \( f (x) = x^n \) is continuous at \( x = n \), where n is a positive integer.
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
sec-a
easy
q4
math
asked
Nov 5, 2012
by
thanvigandhi_1
1
answer
Examine the continuity of the function $f (x) = 2x^2 - 1$ at $x = 3$
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
q2
sec-a
easy
math
asked
Nov 5, 2012
by
thanvigandhi_1
1
answer
Prove that the function $f (x) = 5x-3$ is continuous at $x=0$, $x=-3$ and $x=5$.
cbse
class12
bookproblem
ch5
sec1
exercise5-1
p159
q1
sec-a
easy
math
asked
Nov 5, 2012
by
thanvigandhi_1
1
answer
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