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What will be the average rate of change of the function [y = 16 – x^{2}] between x = 3 and x = 4?
What will be the approximate change in the surface area of a cube of side xm caused by increasing the side by 2%.
What will be the average rate of change of the function [y = 16 – x^{2}] at x = 4?
Find the approximate value of f(4.04), where f(x)=7x^{3}+6x^{2}4x+3.
What will be the value of the coordinate whose position of a particle moving along the parabola y^{2} = 4x at which the rate at of increase of the abscissa is twice the rate of increase of the ordinate?
The time rate of change of the radius of a sphere is 1/2π. When it’s radius is 5cm, what will be the rate of change of the surface of the sphere with time?
Find the approximate change in the volume of cube of side xm caused by increasing the side by 6%.
A solid cube changes its volume such that its shape remains unchanged. For such a cube of unit volume, what will be the value of rate of change of volume?
A 5 ft long man walks away from the foot of a 12(½) ft high lamp post at the rate of 3 mph. What will be the rate at which the shadow increases?
Find the approximate error in the volume of the sphere if the radius of the sphere is measured to be 6cm with an error of 0.07cm.
For the given equation (x+2) (x+4) = x^{2} + 6x + 8, how many values of x satisfies this equation?
A ladder 20 ft long leans against a vertical wall. If the top end slides downwards at the rate of 2ft per second, what will be the rate at which the slope of the ladder changes?
A particle moving in a straight line covers a distance of x cm in t second, where x = t^{3} + 6t^{2} – 15t + 18. What will be the acceleration of the particle at the end of 2 seconds?
Water is flowing into a right circular conical vessel, 45 cm deep and 27 cm in diameter at the rate of 11 cc per minute. How fast is the water level rising when the water is 30 cm deep?
A particle moving in a straight line covers a distance of x cm in t second, where x = t^{3} + 6t^{2} – 15t + 18. When does the particle stop?
A particle moving in a straight line covers a distance of x cm in t second, where x = t^{3} + 6t^{2} – 15t + 18. What will be the velocity of the particle at the end of 2 seconds?
If L_{1} and L_{2} have the direction ratios a_{1},b_{1},c_{1 }and a_{2},b_{2},c_{2} respectively then what is the angle between the lines?
Find the value of p such that the lines
are at right angles to each other.
Find the value of p such that the lines are at right angles to each other.
If the equations of two lines L_{1} and L_{2} are and then which of the following is the correct formula for the angle between the two lines?
If two lines L_{1} and L_{2} are having direction cosines l_{1},m_{1},n_{1}and l_{2},m_{2},n_{2} respectively, then what is the angle between the two lines?
8 docs148 tests

8 docs148 tests
