Answer:
Find the minimum and maximum values of the objective function subject to the given constrants. Objective function: C= 2x + 3y
Constraints:
x>0
y>0
Comment: These two conditions tell you the answers are in the 1st Quadrant.
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x +y < 9
Graph the boundary line: y = -x+9
Solutions points are below the boundary line and in the 1st Quadrant.
Step-by-step explanation:
The given equation is
As a check for exactness we have
Hence the given equation is an exact differential equation and thus the solution is given by
thus the solution is given by
Similarly we have
Comparing both the solutions we infer
Hence the solution becomes
given boundary condition is that it passes through (1,1) hence
thus solution is
Answer:
The selected answers are correct.
Step-by-step explanation:
The first step of the 3-step test for continuity is
- check to see if the function is defined at the point. Here, the function h(-3) is defined as 5.
The second step of the 3-step test for continuity is
- check to see if the limit exists at the point. Here, the limit is 2, coming at it either from the left or the right. (log6(36)=2; 16·2^-3=2)
The third step is
- show the function value is the same as the limit at the point of interest. Here 5 ≠ 2, so there is a discontinuity at x=-3.
