Practice Questions

The volume of solid generated by revolving the region bounded by y^2 = 8x and x=2 about the line x=2 is api/b. What is a+b

A hemispherical basin of radius 10cm is used to store water . To what percent of capacity is basin filled when water is till 5 cm height

The coefficient of x^4 in the series expansion of e^(1-2x)

The radius of a sphere is increasing at the rate of 0.5cm/mins. The rate of change of the surface area of (cm^2/min) the sphere when the radius is 20 cm is

For the past 3 decades, this chain of coffee shops has been committed to building a culture where everyone is welcome.They are an ally to the LGBTQ commnity, and this is just one instance of their

1+5+9+?..+x =780, then x is

Maximum value of z=4x + 2y, subject to constraint 2x+3y<=28, x+y<=10, x,y>=0

The area of the triangle formed by the lines x=0 , 2x+3y=6 and x+y=3

x^3 + y^3 = 72, xy=8 with x>y . Then the value of x-y is

In triangle ABC, a line is drawn from vertex A to a point D on BC. If BC=9 cm, and DC = 3cm, then what is the ratio of the areas of traingle ABD and triangle ADC respectively