Answer:
The given power series 
is a solution of the differential equation (1+x^2)y' + 2xy = 0
Step-by-step explanation:
This is a very trivial exercise, follow the steps below for the solution:
Step 1: Since n = 0, 1, 2, 3, 4, ........, Substitute the values of n into equation (1) below.
.....................(1)
Step 2: Find the derivative of y, i.e. y'
Step 3: Substitute y and y' into equation (2) below:
(Verified)
Since the LHS = RHS = 0, the given power series is a solution of the differential equation (1+x^2)y' + 2xy = 0
Answer:
B represents area of the right triangle
Step-by-step explanation:
Given;
Area of a triangle is A = 0.5bh
where;
b is the base of the triangle
h is the height of the triangle
Given, formula for the volume of a prism is V = Bh
For a right triangle prism, the formula for the volume is, V = Bh
Where;
B is the area of the right triangle
h is the height of the prism
Therefore, B represents area of the right triangle
Answer: c. 50
Step-by-step explanation:
1. By definition, when you add the exterior angles of a regular polygon, you obtain 360 degrees and the number of sides of that polygon can be calculated by dividing 360 degrees by the measure of the exterior angle of it.
2. As you know, the number of sides cannot be fractions, therefore, if you make the folllowing division:
360°/50°=36/5
You obtain a fraction.
3. Then, an exterior angle of a regular polygon cannot have the measure is 50°.
Answer:
x^(1/3)
Step-by-step explanation:
let's start with x^2 / x^(2/3), then we'll move on the the 4th root
when dividing exponents with the same base, we subtract the exponents:
x^2 / x^(2/3) = x^(2 - 2/3) = x^(4/3)
the fourth root of x^4/3 can become x^(4/3 * 1/4)
(i used the formula x^(m/n) = nth root of x^m)
x^(4/3 * 1/4) = x^1/3
hope this helps! <3
Answer:
c. 50
Step-by-step explanation:
count each full block and every block that is more than half full as 1 each, ignore every block that is less than half full.
I got exactly 50 using this method before looking at the available answers.
In multiple choice math problems try to ignore the possible answers until you have determined what you think it ought to be. If the answer you found is in the list you have more confidence you are right, if the answer you got is not in the list you know you did something wrong... just a hint :)
