Answer:
Step-by-step explanation:
a,a, and a
<span>3down votefavorite1Find minimum and maximum value of function <span>f(x,y)=3x+4y+|x−y|</span> on circle<span>{(x,y):<span>x2</span>+<span>y2</span>=1}</span>I used polar coordinate system. So I have <span>x=cost</span> and <span>y=sint</span> where <span>t∈[0,2π)</span>.Then i exploited definition of absolute function and i got:<span>h(t)=<span>{<span><span>4cost+3sintt∈[0,<span>π4</span>]∪[<span>54</span>π,2π)</span><span>2cost+5sintt∈(<span>π4</span>,<span>54</span>π)</span></span></span></span>Hence i received following critical points (earlier i computed first derivative):<span>cost=±<span>45</span>∨cost=±<span>2<span>√29</span></span></span>Then i computed second derivative and after all i received that in <span>(<span>2<span>√29</span></span>,<span>5<span>√29</span></span>)</span> is maximum equal <span>√29</span> and in <span>(−<span>45</span>,−<span>35</span>)</span> is minimum equal <span>−<span>235</span></span><span>
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Answer:

Step-by-step explanation:
There are two operations involved:
Vertical translation:
(1)
Note: Positive sign represent a translation upwards.
Horizontal translation:
(2)
Note: Positive sign represent a translation leftwards.
Then, the new function must be:


Answer: 3.5, 4.5, 9.5, 3.5
Step-by-step explanation:
Look at the image below to see where A, B, C, and D are.
A + B = 8
B + D = 8
A + C = 13
C - D = 6
we can see that A + B = 8 and D + B = 8, so A = D
substitute this into A + C = 13 to get D + C = 13
from D + C = 13 we can get D = 13 - C
plug this into C - D = 6 to get C - (13 - C) = 6
2C - 13 = 6
2C = 19
C = 9.5
Now we can find D = 13 - C = 13 - 9.5 = 3.5
D = 3.5
Now we can find A = D = 3.5
A = 3.5
Now we can find B from A + B = 8
B = 8 - A = 8 - 4.5 = 4.5
B = 4.5
Answer:
106
Step-by-step explanation:
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