discret math, Mathematics

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Find the equation of circle concentric – coordinate geometry, 1. A point P(...

1. A point P(a,b) becomes (3,c) after reflection in x - axis, and (d,6) after reflection in the origin. Show that a = 3, b = - 6, c = 6, d = 2 2. If the pair of lines ax² + 2pxy

Proof of various limit properties, PROOF OF VARIOUS LIMIT PROPERTIES In...

PROOF OF VARIOUS LIMIT PROPERTIES In this section we are going to prove several of the fundamental facts and properties about limits which we saw previously. Before proceeding

Ratios, the ratio of boys to girls in the sixth grade is 2:3 if there are ...

the ratio of boys to girls in the sixth grade is 2:3 if there are 24 boys, how many are girls?

Find out the average temperature, Find out the average temperature: E...

Find out the average temperature: Example: Find out the average temperature if the subsequent values were recorded: 600°F, 596°F, 597°F, 603°F Solution: Step

Group automorphism, (a) Find an example of groups G, H, K with K  H and H...

(a) Find an example of groups G, H, K with K  H and H G but K G. (b) A subgroup H of G is characteristic if σ(H) ⊆ H for every group automorphism σ of G. Show that eve

Find the probability density function, 1. The lifetime T (in days) of an el...

1. The lifetime T (in days) of an electrical component has reliability function given by: R(t) = e -0.01t for time t > 0. An electrical system consists of four such components. Th

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