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Two circles touch externally. The sum of their areas is 58 π cm 2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm) Ans:
Consider the equation x 2 y′′+ xy′- y = 4x ln x (a) Verify that x is a solution to the homogeneous equation. (b) Use the method of reduction of order to derive the second
What is equivalence relation? Prove that relation 'congruence modulo' ( ≡mod m) is an equivalence relation. Ans: A relation R illustrated on a nonempty set A is said to be
Mr. Brown plowed 6 acres in 1 hour. At this rate, how long will it take him to plow 21 acres? Mr. Brown plows 6 acres an hour, so divide the number of acres (21) through 6 to f
If arg (a/b) = pi/2, then find the value of ((a+b)/(a-b)) where a,b are complex numbers. Ans) Arg (a/b) =Pi/2 Tan-1 (a/b)= Pi/2 A/B = tanP/2 ,therefore a/b=infinity.
express the complex number z=5+i divide 2+3i in the form a+ib
The width of a rectangle is 30.5% of its length l. Write a formula for the area and perimeter of the rectangle in terms of l only
Numerical analysis university
Topic : Use of Electronic whiteboards (ICT) in primary education in Australia and international. What are the key theories, concepts and ideas related to your topic? Wha
PROBLEMS WITH APPLYING ALGORITHMS : From your experience, you would agree that children are expected to mechanically apply the algorithms for adding or subtracting numbers, regar
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