A method you can use to figure this out is to look it up on the Internet and write in your own words. Also, if there is a paper that showed you what the answer was, you can put the definition in your own words. This is 2 significant strategies to success!!
Answer:
a. ∫ xSinx dx
iii. integration by parts
u =x and dv= sinx
b. ∫ x⁴/(1+x³). dx
ii. neither
Long division is an option here before integration is done
c. ∫ x⁴. e^x³. dx
i. substitution
where u = x⁵
d. ∫x⁴ cos(x⁵). dx
i. substitution
where u = x⁵
e. ∫1/√9x+1 .dx
i. substitution
where u = 9x+1
Answer:
808
Step-by-step explanation:
The volume of the initial cylindrical metal must be equal to the total volume of the cubes.
Let the number of cubes made be x. Therefore:

where
volume of the cylinder
volume of each cube
Each of the cubes have sides of length 3 cm.
The volume of a cube is given as:

where L = length of side of cube
Therefore, the volume of each cube is:

The volume of a cylinder is given as:

where r = radius
h = height of the cylinder
The volume of the cylinder is:

Therefore:
21823.55 = 27 * x
=> x = 21823.55 / 27
x = 808.27
Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.
Firstly you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.
475 * 0.02 = 9.50
Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.
The answer would be 4 years.
Hope this helps.