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Find the least number that is divisible by all numbers between 1 and 10 (both inclusive). Ans: The required number is the LCM of 1,2,3,4,5,6,7,8,9,10 ∴ LCM = 2 × 2
The base of an isosceles triangle and the altitude drawn from one of the congruent sides are equal to 18cm and 15cm, respectively. Find the lengths of the sides of the triangle.
Show that 571 is a prime number. Ans: Let x=571⇒√x=√571 Now 571 lies between the perfect squares of (23)2 and (24)2 Prime numbers less than 24 are 2,3,5,7,11,13,17,1
Ellipsoid Now here is the general equation of an ellipsoid. X 2 / a 2 + y 2 /b 2 + z 2 /c 2 = 1 Here is a diagram of a typical ellipsoid. If a = b = c afterw
If A & B are (-2,-2) and (2,-4) respectively, find the co ordinates of P such that AP =3/7 AB and P lies on the line segment AB.
Calculate the area and perimeter of a square: Calculate the area and perimeter of a square with w = 5´ and l = 6´. Be sure to involved units in your answer. Solution:
Evaluate the given definite integral. Solution Let's begin looking at the first way of dealing along with the evaluation step. We'll have to be c
Find the full fourier Series of e^x on (-l,l)in its real and complex forms. (hint:it is convenient to find the complex form first)
Find the normalized differential equation which has {x, xe^x} as its fundamental set
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