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Let a, b, c 2 Z+.
(a) Prove that if a|b, then ac|bc for all c.
(b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
(c) Prove that gcd(a, a + b) = gcd(a, b).
find the magnitude of the following vectors:5i+7j
a person having rs.10 shares of value rs.6000 in a company which pays a 7% dividend invested the money gained by selling those shares and bought rs.25 shares at rs.24 per share in
a. Write an exponential function that could model the information in this graph. b. Describe a business, scientific (not mathematical), or economic situation for what thi
Center of Mass - Applications of integrals In this part we are going to find out the center of mass or centroid of a thin plate along with uniform density ρ. The center of mass
Dot Product- Vector The other topic for discussion is that of the dot product. Let us jump right into the definition of dot product. There is given that the two vectors a
Ask question what is half of 1 1/3 liquid measurements?
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
As1212uestion #Minimum 100 words accepted#
r=asin3x
the sum of the interior angles of a convex rectilinear figure is equal to sum of the exterior angles. then the number of sides is
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