Application of Derivatives
The total revenue in Rupees received from the sale of x units of a product is given by R(x)=3x2+36x+5. The marginal revenue, when x=15 is.
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are angles satisfying 0<α<θ<β<2π˙
Then prove that
If the tangent at any point (4m2,8m2)
is a normal to the curve x3−y2=0
, then find the value of m˙
is a real number satisfying the equation 2t3−9t2+30−a=0,
then find the values of the parameter a
for which the equation x+x1=t
gives six real and distinct values of x
In an acute triangle ABC
if sides a,b
are constants and the base angles AandB
vary, then show that a2−b2sin2AdA=b2−a2sin2BdB
Does there exists line/lines which is/are tangent to the curve y=sinxat(x1,y1)
and normal to the curve at (x2,y2)?
are the sides of two squares such that y=x−x2
. Find the rate of the change of the area of the second square with respect to the first square.
Find the equation of tangent and normal to the curve x=(1+t2)2at2,y=(1+t2)2at3
at the point for which t=21˙
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