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:
34/9
Step-by-step explanation:
3 7/9 = 9*3+7 =34
34/9
Hi!
7 + (-3) = 7 - 3 = 4
The correct answer is C.) 4.
Hope this helps!
Answer:
By Looking at the shapes and sizes
Step-by-step explanation:
If you can try and look at the shape and size of it, if you can draw it, draw it on a piece of paper, trace them both, but in the same spot, you didn't specificize, if it was a sphere or just a regular circle or not, so thats all i can tell you.
Answer:
r = 3.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:

In which m is the slope.
Finding the slope of a line, given two points:
When we are given two points of a line, the slope of the line is given by the change in y divided by the change in x.
Points (4,r), (r,3)
Change in y: 3 - r
Change in x: r - 4
Slope is 0, so:



The value is r = 3.