Answer:
The answer is 48 units³
Step-by-step explanation:
If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,
Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,
After performing the elementary y integral we obtain the desired volume as below,
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
Answer:
1. her elevation at noon was 3 meters
2. (-2, 7)
3. (1, 0)
Step-by-step explanation:
1. when x = 0, it is noon, y = 3 when x is 7
2. when x = -2 it is 10 am because when x is 0, it is noon, or 12 pm, her elevation is 7 meters above sea level
3. when x is 1, it is 1 pm, and her elevation is 0 meters
Answer:
Increase
Step-by-step explanation:
The number gets larger. Increase means it gets larger, but decrease means it gets lower.
It's the letter D hope it helps
