18. If f(x)=[xsin πx] {where [x] denotes greatest integer function}, then f(x) is:
since x denotes the greatest integers which could the negative or the positive values, also x has a domain of all real numbers, and has no discontinuous point, then x is continuous in (-1,0).
Answer: B]
20. Given that g(x)=1/(x^2+x-1) and f(x)=1/(x-3), then to evaluate the discontinuous point in g(f(x)) we consider the denominator of g(x) and f(x). g(x) has no discontinuous point while f(x) is continuous at all points but x=3. Hence we shall say that g(f(x)) will also be discontinuous at x=3. Hence the answer is:
C] 3
21. Given that f(x)=[tan² x] where [.] is greatest integer function, from this we can see that tan x is continuous at all points apart from the point 180x+90, where x=0,1,2,3....
This implies that since some points are not continuous, then the limit does not exist.
Answer is:
A]
Answer:
roots: -4 and 7
Step-by-step explanation:
where the graph crosses the x axis is where the roots are located
Answer:
Step-by-step explanation:
Because 5x - 1 = 55 - 1 = 24 = y
9514 1404 393
Answer:
33√2 in ≈ 46.7 inches
Step-by-step explanation:
The diagonal of a square is √2 times the side length, so for side length s we have ...
s√2 = 66 in
s = (66 in)/√2
x = 33√2 in ≈ 46.7 in . . . . length of each side of the blanket
Common difference of the arithmetic sequence, is
