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From a sheet of cardboard in the shape of a square of side 14 cm, a piece in the shape of letter B is cut off. The curved side of the letter consists of two equal semicircles & the
Explain with the help of number line (-6)+(+5)
to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?
Find out the volume of the solid obtained by rotating the region bounded by x = (y - 2) 2 and y = x around the line y = -1. Solution : We have to first get the intersection
A concrete retaining wall is 120 feet long with ends shaped as given. How many cubic yards of concrete are required to construct the wall? a. 217.8 yd 3 b. 5,880 yd 3
A ride in a taxicab costs $1.25 for the first mile and $1.15 for each additional mile. Which of the following could be used to computed the total cost y of a ride which was x miles
Smooth Curve - Three Dimensional Space A smooth curve is a curve for which → r' (t) is continuous and → r' (t) ≠ 0 for any t except probably at the endpoints. A helix is a s
Let ∑ = (0, 1). Define the following language: L = {x | x contains an equal number of occurrences of 01 and 10} Either prove L is regular (by constructing a DFA/NFA or a rege
Find out the domain of each of the following. (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know
A reliability system consists of 15 independent components. The probability that a component works is 0.9 for each. The system works if at least 11 of the components work. Fi
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