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statistics and probability statistics are the only tools by which an opening can be cut through the
a vessel in shape of a inverted cone is surmounted by a cylinder has a common radius of 7cm this was filled with liquid till it covered one third the
if the areas of the circular bases of a frustum of a cone are 4cm2 and 9cm2 respectively and the height of the frustum is 12cm what is the volume of
a golf ball has a diameter equal to 41cm its surface has 150 dimples each of radius 2mm calculate the total surface area which is exposed to the
a conical vessel of radius 6cm and height 8cm is completely filled with water a sphere is lowered into the water and its size is such that when it
a solid toy in the form of a hemisphere surmounted by the right circular cone of height 2cm and diameter of the base 4
a building is in the form of a cylinder surrounded by a hemispherical vaulted dome and contains 411921- cu m of air if the internal diameter
an ice-cream cone has a hemispherical top if the height of the cone is 9 cm and base radius is 25 cm find the volume of ice cream
a cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm the total
water in a canal 30 dm wide and 12 dm deep is flowing with a velocity of 10 kmh how much area will it irrigate in 30 minutes if 8 cm of standing
a sphere and a cube have equal surface areas show that the ratio of the volume of the sphere to that of the cube is radic6 radicpians sa
a bucket of height 8 cm and made up of copper sheet is in the form of frustum of right circular cone with radii of its lower and upper ends as 3 cm
a solid is in the form of a right circular cone mounted on a hemisphere the radius of the hemisphere is 35 cm and the height of the cone is 4 cm the
provided a homogeneous system of equations 2 we will have one of the two probabilities for the number of solutions1 accurately one solution
specified a system of equations 1 we will have one of the three probabilities for the number of solutions1 no solution2 accurately
review systems of equations - the traditional initial point for a linear algebra class we will utilize linear algebra techniques to solve a system of
for this point weve only looked as solving particular differential equations though many real life situations are governed through a system of
find the laplace transforms of the specified functionsa ft 6e5t et3 - 9b gt 4cos4t - 9sin4t 2cos10tc ht 3sinh2t
as we saw in the previous section computing laplace transforms directly can be quite complex generally we just utilize a table of transforms when
if the minute hand of a big clock is 105 m long find the rate at which its tip is moving in cm per
a circular disc of 6 cm radius is divided into three sectors with central angles 1200 1500900 what part of the circle is the sector with central
the area enclosed between two concentric circles is 770cm2 if the radius of the outer circle is 21cm find the radius of the inner circleans
the definition- the definition of the laplace transforms we will also calculate a couple laplace transforms by using the definitionlaplace
in this section we will be searching how to utilize laplace transforms to solve differential equations there are various types of transforms out
it is the full blown case where we consider every final possible force which can act on the system the differential equation in this casemu gammau