Answer:
The answer to your question is:
a) C = 2g + 155c
b) g = 25 grapes
c) c = 3
Step-by-step explanation:
Data
grapes = g = 2 calories
cheese = c = 155 calories
a) Equation, we consider the amount of grapes and the calores given.
Total calories = C = 2g + 155c
b) We consider that the slices of cheese stays the same
2g + 155 = 205
2g = 205 -155
2g = 50
g = 50/2 = 25 grapes
c) Then the number of grapes stays the same
2(25) + 155c = 515
50 + 155c = 515
155c = 515 - 50
155c = 465
c = 465/155
c = 3 slices of cheese
Splitting up the interval of integration into
subintervals gives the partition
![\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac1n%5Cright%5D%2C%5Cleft%5B%5Cdfrac1n%2C%5Cdfrac2n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7Bn-1%7Dn%2C1%5Cright%5D)
Each subinterval has length
. The right endpoints of each subinterval follow the sequence

with
. Then the left-endpoint Riemann sum that approximates the definite integral is

and taking the limit as
gives the area exactly. We have

Answer:
.
Step-by-step explanation:
We want to find
.
By definition:

Since we want to find the Left Hand Limit, we use f(x)=-(x-2)
.
.
The limit of a constant is the constant.
.
Answer:
B
Step-by-step explanation:
Because there is three numbers
Answer:
(x, y) ----> (-x, y).
Step-by-step explanation:
(x, y) ----> (-x, y).
The y value stays the same but the x-value changes sign.