Class 12

Math

Calculus

Application of Derivatives

If $1_{0}=α$ radians, then find the approximate value of $cos60_{0}1_{prime}˙$

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

There is a point (p,q) on the graph of $f(x)=x_{2}$ and a point $(r,s)$ on the graph of $g(x)=x−8 ,wherep>0andr>0.$ If the line through $(p,q)and(r,s)$ is also tangent to both the curves at these points, respectively, then the value of $P+r$ is_________.

If the curve $y=ax_{2}−6x+b$ pass through $(0,2)$ and has its tangent parallel to the x-axis at $x=23 ,$ then find the values of $aandb˙$

If the tangent to the curve $xy+ax+by=0$ at $(1,1)$ is inclined at an angle $tan_{−1}2$ with x-axis, then find $aandb?$

Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle is one-third that of the cone and the greatest volume of cylinder is $274 πh_{3}tan_{2}α˙$

The lateral edge of a regular rectangular pyramid is $acmlong˙$ The lateral edge makes an angle $α$ with the plane of the base. Find the value of $α$ for which the volume of the pyramid is greatest.

For the curve $xy=c,$ prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.

Find the angle between the curves $2y_{2}=x_{3}andy_{2}=32x˙$

Find the points on the curve $5x_{2}−8xy+5y_{2}=4$ whose distance from the origin is maximum or minimum.