Application of Derivatives
The normal at the point (1,1) on the curve 2y+x2=3is(A) x+y=0 (B) xy=0 (C) x+y+1=0(D) xy=0
A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm.
Find a point on the curve y=(x−2)2 at which the tangent is parallel to the chord joining the points (2,0) and (4,4).
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.
Using differentials, find the sum of digits approximate value of the following up to 3 places of decimal.