<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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The answer is 5x + 30 = 12x
x - the number of pies
It costs her $5 to make each pie<span>, plus a one-time cost of $30 for baking supplies:
</span>COST: f(c) = 5x + 30
<span>She plans to sell the pies for $12 each:
PROFIT: f(p) = 12x
</span><span>To find the number of pies she needs to sell to break even:
f(c) = f(p)
5x + 30 = 12x</span>
Answer:
Check the explanation
Step-by-step explanation:
1) probability for odd or 00 = (18+1)/38 = 0.5
2) expected value can be calculated as follows :
14 * win probability - 13 * lose probability
=14 * (18/38) - 13*(20/38)
= -0.21
Answer:
24
Step-by-step explanation:
6+2×3+4+(27-19)
first the bracket, (27 -19) = 8
and then the multiplication, 2×3 = 6
then the addition, 6+6+4+8 = 24