5

1.00x1O 8 11/94x104 11000194001.94x104 H1.OOx1o &4.64*104"2.10X10-5(1.0o*10-"(L.94*1O )...

Question

1.00x1O 8 11/94x104 11000194001.94x104 H1.OOx1o &4.64*104"2.10X10-5(1.0o*10-"(L.94*1O )

1.00x1O 8 11/94x104 1100019400 1.94x104 H1.OOx1o & 4.64*104 "2.10X10-5 (1.0o*10-"(L.94*1O )



Answers

Fill in the blanks.
$$
8 !=8 \cdot \quad !
$$

Okay, so he were given a suppose transform of six times E to the negative three T minus T squared, plus two times T minus eight. Okay, so there is some other break rules week, Remember? Um, somewhere it's like intervals. We can When we have things added, it's attracted week. And then just add a little cross transforms of each components. This is equal to the Lacoste transform of six times E to the negative three t, then minus at the transform of T squared, plus transform of T t and then minus and from the And so there's another algebraic things we can do here. Um, we can pull out a constantly being multiplied to the fronts, would get six times the transform, uh, e to the negative three t We do that. There's nothing to pull out for this 2nd 1 but for the next two, we can follow suits who pulled the two out and then here will pull the eight out in this little one inside. Okay, so now this isn't a place week, actually, um, figure things out a little bit. So some rules to remember here that we'll be using is that the transform. Ah E to the A. T is equal to one over as minus a the transform ah t to the A is equal to a factorial over s to the power of a plus one. Then lastly, that the transform of one is equal to one over s. So using that, we can convert this. We're gonna get six times. This is in the e to a t. Right. So we'll get one over s minus negative three or as plus three. Okay, let me get minus. This is a T square. This, Tita, a second rule here us is gonna be two factorial over. That's two out of two plus one. Just three they will have. Plus two times. This is in the same format. But with a one rights would get one factorial over s. Sloan plus twos is gonna be out of two here, then. This last one, this minus eight is gonna end up being minus eight times. One over s here using this third form, uh, like this. And so these factorial two factorial is actually equal to to one. Factorial is equal to one. Um, Sue for s greater than zero. Uh, no. Further algebra is involved, and this is our answer.

We're being asked to simplify the given expression. To do this, we're going to use to the strip of the property. So we're gonna need to multiply both terms inside our Prem facie by negative eight. Why? Well, negative eight. Why? Times six x y is negative for the eight x y Square and negative eight. Why times positive for X is negative. 32. That's why. And because these are not like terms, we can't simplify any fervor. So our final answer is negative for the eight x y squared minus 32 X Y.

Consider the momentum. It s minus state. See, in this dumb minus eight is called the coefficient. Hence we can complete the statement. Us the coefficient off the dome minus eight C is minus eight.

Consider the given expression. It is minus eight C. So in this tome minus eight is called the numerical coefficient because we know that the number in front off a variable is called a new medical coefficient, and hence here minus eight, is a numerical coefficient that for we can complete the given statement as the new medical coefficient off the tone, minus eight C is minus eight.


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