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Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.
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The equation is:
Applying implicit differentiation in function of t, we have that:
- x-values changing at a rate of 2 units per second means that
- Point Q(1,4) means that
.
We want to find , thus:
y is changing at a rate of 10 units per second.
A similar problem is given at brainly.com/question/9543179
Answer:
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
Step-by-step explanation:
First, we can graph these inequalities out. As you can see in the picture, the three vertices where the inequalities all connect form a triangle. We can check each of these vertices to find our minimum and maximum.
First, we have (3,7). 4y-3x = 4(7)-3(3)=28-9=19
Next, for (3, -3), we have 4y-3x = 4(-3)-3(3) = -12-9=-21
Finally, for (0.5, 2), we have 4y-3x=4(2)-3(0.5)=8-1.5 = 6.5
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
