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Popular Questions
- The circumference of a circle is measured as 56 cm with an error 0.02 cm. The percentage error in its area is
- The rate of change of the surface area of the sphere of radius r, when the radius is increasing at the rate of 2 cm/s is proportio..
- A man of 2 m height walks at a uniform speed of 6 km/h, away from a lamp post of 6 m height. The rate at which the length of his s..
- If the radius of a circle is increasing at a uniform rate of 2 cm/s. The area of increasing of area of circle, at the instant when..
- If the radius of a circular plate is increasing at the rate of 0.01cm /s, when the radius is 12 cm. Then, the rate at which the ar..
- the approximate value of 5^root 33 correct to 4 decimal places is
- The radius of a cylinder is increasing at the rate of 3 m/s and its altitude is decreasing at the rate of 4 m/s. The rate of chang..
- If the diagonal of a square is changing at the rate of 0.5 cms^-1 . Then, the rate of change of area, when the area is 400 cm^2, i..
- A spherical iron ball of radius 10 cm, coated with a layer of ice of uniform thickness, melts at a rate of 100 it cm^3/min. The ra..
- d^n/dx^n (log x)=
- if the tangent at ( 1, 1 ) on y(sq) = x(2 - x)(sq) meets the curve again at p then p is
- If there is an error of k per in measuring the edge of a cube, then the percent error in estimating its volume is
- The maximum value of the function
- Let a, bE R be such that function f given by
- The minimum radius vector of the curve
- f( x) = x(sq) - 3x then the points at which f( x) = fx are
- The number of points, where (x) attain its minimum value, is
- the equation of the tangent of the curve
- If p (x) = a0 + a1x^4 + ...+ anx^2n be a polynomial in a real variable x with
- A point on the parabola y^2 = 18x at which the ordinate increases at twice the rate of the abscissa is
- If the distance s covered by a particle in time t is proportional to the cube root of its velocity, then the acceleration is
- If y = 4x + 3 is parallel to the tangent of the parabola y^2 = 12x, then is distance from the normal parallel to the given line is
- If a stone thrown upwards, has equation of motion s = 490t - 4.9t^2 . Then, the maximum height reached by it is
- A particle moves in a straight line, so that s = root t then its acceleration is proportional to
- The equation of normal of the curve y = (1 + x)^y + sin^-1 (sin^2 x) at x = 0 is
- The local minimum value of the function f given by f (x) = 3 + |x|, x E R is
- The angle of intersection between the curves y = [|sin x| + |cos x| ] and x^2 + y^2 = 10, where [x] denotes the greatest integer <..
- The distance travelled by a motorcar in t sec after the breakes are applied is s feet, where s = 22t - 12t^2. The distance travell..
- The triangle formed by the tangent to the curve f (x) = x^2 + bx - b at the point (1, 1) and the ordinate axes lies in the first q..
