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a) Let n = (abc)7. Prove that n ≡ a + b + c (mod 6).
b) Use congruences to show that 4|32n - 1 for all integers n ≥ 0.
If secA= x+1/4x, prove that secA+tanA=2x or 1/2x. Ans: Sec? = x + 1/4x ⇒ Sec 2 ? =( x + 1/4x) 2 (Sec 2 ?= 1 + Tan 2 ?) Tan 2 ? = ( x +
prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.
Memphis, Tennessee, and New Orleans, Louisiana, lie approximately on the same meridian. Memphis has latitude 35°N and New Orleans has latitude 30°N. Find the distance between these
20% of the total quantity of oil is 40 litres find the total quantity of oil in litres
12.+12+
apllication in business and economics
Determine the property of Partial ordered relation Question: Partial ordered relation is transitive, reflexive and Answer: antisymmetric
Natural exponential function : There is a extremely important exponential function which arises naturally in several places. This function is called as the natural exponential fun
Compare and contrast African immigrants with our immigrant groups? How are they different? What are the implications of these differences for their adjustment to the larger society
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