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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
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 and 9 cm respectively. Calculate
real life applications of lengrange''s mean value theorem
2x=3+x
Justin earned scores of 85, 92, and 95 on his science tests. What does he required to earn on his further science test to have an average (arithmetic mean) of 93%? To earn an a
Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.
The calculation of two complementary angles are in the ratio of 7:8. Determine the measure of the smallest angle. a. 84° b. 42° c. 48° d. 96° b. Two angles are compl
Which of the following statements do you think are true about children? Indicate with 'T' for true and for false. Give reasons for your choice. a) Most primary school children a
if a circles diameter is 42 mm its radius is _________________ because ________________________.
Describe the Sample of Exponents ? Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 stu
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