Assume that (bn) is a bounded sequence such that lim sup bn = 10. You must prove the following statement in the two di erent ways, listed below. Here is the statement: 9 M 2 N; 8 n > M; bn > 8: (i) a direct proof, using the de nition of lim sup. (ii) a proof by contradiction. Question 1.8. De ne the sequence, (sn), via sn = n n + 1 cos(

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

7.3

step-by-step explanation:

answer: this is not a question

step-by-step explanation: this is a answer

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c