Implicit differentiation: 2x+2ydy/dx-6-4dy/dx=0. When dy/dx=0, we have a horizontal tangent.
So 2x-6=0 and x=3. To find y we solve 9+y²-18-4y=-4, y²-4y-5=0=(y-5)(y+1), so the points are (3,5) and (3,-1).
2xdx/dy+2y-6dx/dy-4=0. When dx/dy=0 we have a vertical tangent, so 2y=4, y=2, and x²+4-6x-8=-4, x²-6x=0, x=0 and 6.
The points are (0,2) and (6,2).
Answer:
Please read the answers below.
Step-by-step explanation:
1. Australia:
75 * 1.87 =140.25 Australian dollars
2. Brazil:
75 * 2.32 = 174 Reals
3. Britain:
75 * 0.69 = 51.75 Pounds
4. Canada:
75 * 1.60 = 120 Canadian dollars
5. China:
75 * 8.28 = 621 Yuan
6. Denmark:
75 * 8.43 = 632.25 Kroner
7. Japan:
75 * 131.55 = 9,866.25 Yen
8. Mexico:
75 * 9.19 = 689.25 Mexican pesos
9. South Africa:
75 * 11.9 = 892.50 Rands
10. Sweden:
75 * 10.61 = 795.75 Kronor
11. Switzerland:
75 * 1.68 = 126 Francs
12. Thailand:
75 * 44.18 = 3,313.50 Baht
Round to the next integer in all currencies.
314.16 yards^2 for the Area
Answer:
<u>1. Mean = 342.7 (Rounding to the nearest tenth)</u>
<u>2. Median = 167.5 </u>
<u>3. Mode = There isn't a mode for this set of numbers because there isn't a data value that occur more than once. </u>
Step-by-step explanation:
Given this set of numbers: 107, 600, 115, 220, 104, 910, find out these measures of central tendency:
1. Mean = 107 + 600 + 115 + 220 + 104 + 910/6 = <u>342.7</u> (Rounding to the nearest tenth)
2. Median. In this case, we calculate it as the average between the third and the fourth element, this way:
115 + 220 =335
335/2 = <u>167.5 </u>
3. Mode = <u>There isn't a mode for this set of numbers because there isn't a data value that occur more than once. All the data values occur only once.</u>
Answer:
84 in.
Step-by-step explanation:
6*6=36/2=18
6*11=66
18+66=84