Answer:
a. The critcal points are at
b. Then, 
is a maximum and 
is a minimum
c. The absolute minimum is at 
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where
Therefore you have to solve this equation.
From that equation you can factor out 
and you would get
And from that you would have 
, so 
.
And you would also have 
.
You can factor that equation as 
Therefore 
.
So the critcal points are at
b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since
Then, is a maximum and is a minimum
c.
The absolute minimum is at and the absolute maximum is at
It is the first choice. All you have to do is isolate A from 2A so you would divide by 2 and get A=bh/2
Answer:
0.141
Step-by-step explanation:
There are ₇C₁ ways to choose 1 woman from 7.
There are ₅C₃ ways to choose 3 men from 5.
There are ₁₂C₄ ways to choose 4 people from 12.
So the probability is:
₇C₁ ₅C₃ / ₁₂C₄
7 × 10 / 495
0.141
Answer:
Step-by-step explanation:
Let's do the obvious things first.
Right rectangle
w = 11
L = 17
Formula
Area = L * W
Area = 11 * 17
Area = 187
Left rectangle
W = 8
L = 11
Area = 8 * 11= 88
Middle Rectangle
W = 11
L = 15
Area = 11 * 15 165
Now we come to the triangles. It's not obvious what to do with them. You have to infer that one of the lets is 8 and the other is 15. You get the 8 from the width of the left rectangle (see above.)
There are 2 triangles
Area = 2 * 1/2 * l1 * l2
Leg 1 = 8
Leg2 = 15
Area = 2 * 1/2 (8 * 15)
Area = <u> 120 </u>
Total = 120 + 165 + 88 + 187 = 560
Unless you have an E answer that is 560, my answer does not agree with any of the given answers. I would suggest that you ask your teacher how it is done. My method is correct.
