Answer:

Step-by-step explanation:
For
the set of points that include all solutions are
such that
; then we have
.
What is important to stress here is that
represents all of the solutions, while other points that we are given represent one solution (for example, point (2,-1) is just one solution)
Answer:
v = 0.416 m/s
Step-by-step explanation:
Give that,
Distance covered by a train, d = 50 m
Time taken, t = 120 s
We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :

So, the speed of a train is 0.416 m/s.
Answer:

Step-by-step explanation:
We have given the equation y = 6 sin (x)
On differentiating both side 
As it passes through the point 
So 
Now the unit vector is parallel to the tangent so m will be 5.196
This passes through the point 
So unit vector will be 

A counterexample for the statement 'All square roots are irrational numbers.' is the square root of 9. This is because when simplified, the answer is 3.
For a number to be irrational, it can't be expressed in fractional form. However, 3 can be expressed in fractional form as 3/1.
Answer:
26, 42
Step-by-step explanation:
2, 4, 6, 10, 16
This sequence is
⇒ the next term is the sum of the previous 2 terms.
Therefore, the next 2 numbers in this sequence would be:
10 + 16 = 26 and 26 + 16 = 42