Application of Derivatives
The normal to the curve, x2+2xy−3y2=0,at(1,1):
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
If the curve C
in the xy
plane has the equation x2+xy+y2=1,
then the fourth power of the greatest distance of a point on C
from the origin is___.
The tangent at any point on the curve x=acos3θ,y=asin3θ
meets the axes in PandQ
. Prove that the locus of the midpoint of PQ
is a circle.
Discuss the extremum of
Show that between any two roots of e−x−cosx=0,
there exists at least one root of sinx−e−x=0
Assuming the petrol burnt (per hour) in driving a motor boat veries as the cube of its velocity, show that the most economical speed when going against the current of c
miles per hour is (23c)
miles per hour.
A spherical iron ball 10cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50cm3/m∈
. When the thickness of ice is 5cm, then find the rate at which the thickness of ice decreases.
Let y=f(x) be drawn with f(0)=2 and for each real number a the line tangent to y=f(x) at (a,f(a)) has x-intercept (a−2). If f(x) is of the form of kepx thenpk has the value equal to
A lamp is 50ft˙
above the ground. A ball is dropped from the same height from a point 30ft˙
away from the light pole. If ball falls a distance s=16t2ft˙
second, then how fast is the shadow of the ball moving along the ground 21s