evaluate-the-given-functions-xx-t-6-x-tx-t2-t3-text-find-xx-t-text-and-xt-2-x-3

Question

Evaluate the given functions.
$$X(x, t)=-6 x t+x t^{2}-t^{3} ; 	ext { find } X(x,-t), 	ext { and } X(t, 2 x)$$

Tyler Moulton · Accepted Answer

We want to evaluate a given function for X of x T equals negative six X T X T squared by the CQ. We wanna fly X of x negative T X of T two X. This question is testing your knowledge and multi variant functions in particular assessing our ability to evaluate such functions. Remember that To solve these functions, we have to solve identical single variable functions. That is. We simply plug in the indicator variables. For instance, for X X negativity, wherever we see X, we plug in X wherever we see T. We plug in negative T. So we then have X. X negative equals negative six times negative T plus extends dignity squared minus negative T. Cute. Let&#x27;s have final solution six X T x T squared plus C. Cute. Then for X of T two X we have negative 16 cm two X plus TN two X squared minus two X. Cute. Or negative 12 T x plus 40 X squared minus eight execute

Amy Jiang · Answer

to find us comes t evaluated that negative to threats, the same as writing that as us evaluated under two times T evaluated under two. So what s evaluated? Unable to That&#x27;s gonna be three minus negative. So it&#x27;s plus two, and then we have teeth, which is gonna be in the to squared minus making two. So that&#x27;s plus two and then minus six. So this gives us a five times, Let&#x27;s see. So that&#x27;s gonna be afford. What&#x27;s two months? Six, which is is all we have is their old times five, which is equal to zero.

Amy Jiang · Answer

Okay, so we want to find asked about it by t of over that one. So that&#x27;s gonna be the same as us. Evaluated up on over. T evaluated at one. Well, what else? Evaluated at one. It&#x27;s gonna read three minus one, and then we have over tea of all. Wait at one. So it&#x27;s one squared minus 116 So that gives me a to over one minus one, which is they&#x27;re all so that&#x27;s minus six. And that&#x27;s equal to a negative 1/3.

Amy Jiang · Answer

just so we want to roll with the polling so it&#x27;s start rewriting this as as s evaluated, and they get two times to you evaluated at negative two. So what is us? That&#x27;s going to be two minus negative degrees and it&#x27;s plus three or post to Actually, that&#x27;s a three. So that would be a three money sniggers that&#x27;s plus two. And in T is negative two square that the four minus a negative shit it&#x27;s close to and in my six could. It gives us a five times four plus two, which is six minus 670 so we see that this year is equal to zero.

Amy Jiang · Answer

Okay, so we will do a ball with fallen so we can rewrite this as eso followed it at one over. T evaluated at one. So us is three in one. It&#x27;s one all over. One squared, which is one minus one and in my six. So this is it. With the two over one minus, this is minus seven. So that&#x27;s a negative six. So this could be simplified into a negative 1/3.

Amy Jiang · Answer

Okay, so we want to you. About what? The fallen. So we have s of alluded at three. Most evil with that three. So what is this? This is a three money string, and then we have plus T, which is three square. That&#x27;s line minus three, minus six. So here we have a girl, coastline Ministry, minus six of its nine minus nine, which is their own. So that zero, of course, they&#x27;re all which is equal to zero.

Problem

Evaluate the given functions. $$g(y, z)=2 y z^{2}…

Problem 15 Easy Difficulty

Evaluate the given functions.
$$X(x, t)=-6 x t+x t^{2}-t^{3} ; \text { find } X(x,-t), \text { and } X(t, 2 x)$$

Answer

$X(x,-t)=6 x t+x t^{2}+t^{3}, X(t, 2 x)=-12 x t+4 x^{2} t-8 x^{3}$

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$X(x,-t)=6 x t+x t^{2}+t^{3}, X(t, 2 x)=-12 x t+4 x^{2} t-8 x^{3}$

Basic Technical Mathematics with Calculus

Catherine R.

Anna Marie V.

Heather Z.

Joseph L.

Vectors Intro

Vector Basics - Example 1

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Catherine R.

Anna Marie V.

Heather Z.

Joseph L.

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus