1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vitek1552 [10]
3 years ago
12

Please solve Questions - 18 , 20 , 21 Show proper work. Thank-you!

Mathematics
1 answer:
Ymorist [56]3 years ago
3 0
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]


You might be interested in
Find the length here
Vera_Pavlovna [14]

Answer:

The correct answer is

D) 66.35

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

So in shorthand notation:

sin = o/h   cos = a/h   tan = o/a

Often remembered by: soh cah toa

5 0
2 years ago
Read 2 more answers
7,16,8,27,9 what number continues this pattern
Aloiza [94]
The sequence seems to be that you add 1 and then multiply by 2, and then add 1 and multiply by 3, so I would assume you do 9 + 1 = 10, and then multiply by 4 to get 40 as your next number. I hope this helps!

6 0
3 years ago
Evaluate the integral of the quotient of the cosine of x and the square root of the quantity 1 plus sine x, dx.
VMariaS [17]

Answer:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.

Step-by-step explanation:

In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.

Let u = 1 + sin(x).

This means du/dx = cos(x). This implies dx = du/cos(x).

Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.

∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))

= ∫(u^(-1/2) * du). Integrating:

(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.

Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!

4 0
2 years ago
Read 2 more answers
List all the 4 digit numbers that fit these clues
natita [175]
If you give the clues I could help.
4 0
3 years ago
The point P (5, -1) is rotated 90 degrees clockwise around the origin.
blondinia [14]
I would say the answer is c
3 0
3 years ago
Other questions:
  • Jose surveyed the length of TV commercials (in seconds). Find, to 3 decimal places, the experimental probability that a randomly
    10·1 answer
  • Express the percent as a decimal. { 98% }
    10·2 answers
  • How many cubes would be in the tower that is 3 cubes y’all?
    13·1 answer
  • Help me out pretty please guys​
    14·1 answer
  • The graph of linear equation A passes thru the points (-7,4) and (3,-10), while the graph of linear equation B passes thru the p
    8·1 answer
  • The mean of a set of credit scores is 4= 690 and g= 14. Which statement must be true?
    14·2 answers
  • 10 1/8 + (3 5/8 + 2 7/8)
    7·2 answers
  • Please help!!!! The question is in the picture
    10·1 answer
  • Please help. I will give ten points for answer
    14·1 answer
  • Ok i need helpppp...............
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!