<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:
77 inches
Step-by-step explanation:
Given
1 inch = 3 miles in map
We are also given the actual distance between City A and City B = 231 miles.
In order to get the distance in inches = Distance between City A and City B in miles/ 3
We are dividing the distance by 3 to get the distance in inches.
So,
Distance on map = 231/3
= 77 inches
Answer:
39. 29
36. 50
33. 7
30. 33
Step-by-step explanation:
39. According to the Order of Operations, in this case, Subtraction & Addition are evaluated after Division & Multiplication:
36. Evaluate everything since everything is wrapped in parentheses:
33. Evaluate everything inside of parentheses FIRST:
I am joyous to assist you anytime.
<span>4x +5=9x-2
9x - 4x = 5 + 2
5x = 7
x = 7/5
x = 1.4</span>
