Mathematics, 22.06.2019 20:00 kat9490

Soldering is accomplished by quickly heating metal parts. solder is a metal that is melted to join metallic surfaces together. common solder formulations based on tin and lead are listed below. the fraction represents percentage of tin first, then lead, totaling 100%. tin/lead melting point (°c) 40/60 230 °c 50/50 214 °c 60/40 190 °c 63/37 183 °c 95/5 224 °c the soldering iron’s highest temperature setting is 400 °f. what is the soldering iron’s temperature in centigrade?

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the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

Me if you can and if you finished this lesson on edg- comment you.

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Ido not know i use to
Which number produces a rational number when added to 0.25?

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$\cos( \frac{4\pi}{5} ) + i \: sin( \frac{4\pi}{5}) \\ \\ = e {}^{i \frac{4\pi}{5} } \\ \\ \ \\ so \\ \\ \sqrt[3]{8 \: ( \cos( \frac{4\pi}{5} ) + isin \frac{4\pi}{5 } ) } \\ \\ \\ \\ 2 \: \: \sqrt[3]{e {}^{ \frac{i4\pi}{5} } } \\ \\ 2 \: e {}^{ \frac{i4\pi}{15} }$

Use de moivre’s theorem to compute the following: i attempted to do it but i got the wrong answer a

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First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.

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