Answer:
A. 15x^3 -44x^2 +9x +28
Step-by-step explanation:
(5x^2 -3x -4)(3x - 7)
first, distribute by multiplying the terms in each parenthesis with each other:
(5x^2 * 3x) - (3x * 3x) - (4 * 3x) - (5x^2 * 7) + (3x * 7) + (4 * 7)
simplify:
15x^3 -35x^2 -9x^2 +21x -12x +28
Now combine like terms:
15x^3 -44x^2 +9x +28
Answer:
volume=12m
Step-by-step explanation:
width*length*height=volume
4m=width
3m=height
4m*3m=12m
12m=volume
Splitting up [0, 3] into
equally-spaced subintervals of length
gives the partition
![\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%20%5Cdfrac3n%5Cright%5D%20%5Ccup%20%5Cleft%5B%5Cdfrac3n%2C%20%5Cdfrac6n%5Cright%5D%20%5Ccup%20%5Cleft%5B%5Cdfrac6n%2C%20%5Cdfrac9n%5Cright%5D%20%5Ccup%20%5Ccdots%20%5Ccup%20%5Cleft%5B%5Cdfrac%7B3%28n-1%29%7Dn%2C%203%5Cright%5D)
where the right endpoint of the
-th subinterval is given by the sequence

for
.
Then the definite integral is given by the infinite Riemann sum

Answer:
the answer is C or 18x + 18y