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0.6=k
This is your answer because the equation is for direct variation is y=kx
You substitute the numbers
The value (y2) of r = 1/2.
This question relates to equation of a straight line but we are looking for the slope in this case.
<h3>Slope</h3>
This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as

Data given;
- x1 = 3
- x2 = -3
- y1 = 5
- y2 = r
- m = 34 or 3/4
Substitute the values into the equation and solve for the unknown
NB; we are assuming that the slope here is 34 and not 3/4.

cross multiply both sides and make r the subject of formula

the value of r = -199.
This is not mathematically obtainable and we would use 3/4 as the value of slope

The most logical value of r = 1/2
Learn more on slope here;
brainly.com/question/4074386
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.