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Recent questions in Differential Calculus Applications - I
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TN XII Math
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Differential Calculus Applications - I
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
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