
Actually Welcome to the Concept of the Differential Calculus.
Since, we know this is a definite calculus,
thus we get here as, by using the Chain Rule.
Answer:
330cm
Step-by-step explanation:
The formula to find the surface area of a rectangular prism is 2(lh+hw+lw)
(lh) in this formula is length times height
(hw) is height times width
(lw) is length times width
To find the answer to this problem lets make the height 3/5cm the width 10cm and the length 15cm
so now you would do (15*3/5) which is 9. This solve (lh)
then you would find (3/5*10) which is 6. This solves (hw)
and lastly you would find (15*10) which is 150. This solves (lw)
Now that you now the value of each one of these you replace it in the equation as so: 2(9+6+150)
now you solve the brackets which leaves us with 2(165)
now you multiply 2 with 165
and the answer is 330cm
Surface area = 330cm
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:
x=8
Step-by-step explanation:
Those angles are supplementary so:
140+5x=180
5x=40
x=8