Converges by p series test
top section is almost constant, can never be larger than 3
so, compare degrees of their exponents, in this case it’s at a maximum of 3/1000n^2. the same as saying (3/1000)*summation of p series.
converges absolutely.
Answer:
So the way to express a vector( ) as a product of its length and direction is
Step-by-step explanation:
Generally a vector is expressed as a product of its length and direction using the formula below
Here v is the vector
|v| is its magnitude (length)
u is its unit vector (direction)
Now let take an example
Let
The magnitude is mathematically evaluated as
The unit vector is mathematically represented as
So
Remember slope is
. In the graph we can just pick two points on the line to find the rise and run between. Let's say we choose (0,3) and (1,7). Between those points there is 7-3=4 rise and 1-0=1 run. So the slope is
Let the present age of student be x
Present of teacher will be 4x
After 20 years,
Age of student = x + 20
Age of teacher = 4x + 20
According to the given condition after 20 years,
x + 20 = (4x + 20)/2
x + 20 = 2x + 10
2x - x = 20 - 10
x = 10
So student's present age is 10 years while teacher's is 4 x 10 i.e 40 years.
Hope This Helps You!
X - intercepts y = 0, then
<span>4(0+3)=−2(x+6)
12 = -2x -12
2x = -24
x=-24/2
x = -12
</span>y- intercepts x = 0 then
4(y+3)=−2(0+6)
4y +12 = -12
4y = -24
y = -24/4
y = -6