Answer:
Indefinite integration acts as a tool to solve many physical problems.
There are many type of problems that require an indefinite integral to solve.
Basically indefinite integration is required when we deal with quantities that vary spatially or temporally.
As an example consider the following example:
Suppose that we need to calculate the total force on a object placed in a non- uniform field.
As an example let us consider a rod of length L that posses an charge 'q' per meter length and suppose that we place it in a non uniform electric field which is given by
Now in order to find the total force on the rod we cannot use the similar procedure as we can see that the force on the rod varies with the position of the rod.
But if w consider an element 'dx' of the rod at a distance 'x' from the origin the force on this element will be given by
Now to find the whole force on the rod we need to sum this quantity over the whole length of the rod requiring integration, as shown
Similarly there are numerous problems considering motion of particles that require applications of indefinite integration.
Answer:
= 2n²
Step-by-step explanation:
From the sequence 2,8,18,32,50
The difference between each numbers are
: 6, 10, 14, 18
The difference between the second sequence is 4.
Therefore the nth term of the sequence is 2n²
The distance formula is:
We are given two points in the form (x,y), so plug in the values to the distance formula:
Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:
The square and square root cancel each other out leaving us with 25.
The answer is 25.
Answer:
Step-by-step explanation:
In the experiment that was conducted the coin was tossed a total of 75 times and out of those times it only landed on tails 33 times. Therefore the experimental probability of the coin landing on tails can be calculated by the dividing the times it landed on tails by the total number of times it was tossed. Like so...
or 0.44
This fraction can also be simplified to its simplest form of which is obtained by dividing both the numerator and denominator by 3
Answer:
5
Step-by-step explanation:
Hence it is correct.. thanks for points.
