<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:
A
Step-by-step explanation:
Answer:
F(x) =-4(x+3)+5= - 4x-12+5= - 4x-7
Step-by-step explanation:
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Answer:
The expression which represents the quantity of tomatoes and red peppers to buy is $ 2.50 × T + $ 4 × R = $ 20
Step-by-step explanation:
Given as :
The total amount spend for soup = $ 20
The cost of Tomatoes = $ 2.50 per pound
The cost of Red peppers = $ 4 per pound
Let the quantity of tomatoes to be bought = T pound
The quantity of red peppers to be bought = R pound
So, According to question
$ 2.50 × T + $ 4 × R = $ 20
I.e The expression which represents the quantity of tomatoes and red peppers to buy is $ 2.50 × T + $ 4 × R = $ 20 . Answer
