5

5. Find the linenr "pproximatiou L(v) lxr Ahe luuctJon f() =In, ArOlal the point (1,0), Ust (hee Iinent #ppoxinuation L(?) to find the approximate value of In ...

Question

5. Find the linenr "pproximatiou L(v) lxr Ahe luuctJon f() =In, ArOlal the point (1,0), Ust (hee Iinent #ppoxinuation L(?) to find the approximate value of In (1.3). Coxpare VOr appuroximation with the exaet value Find the linear #ppraximnation E(a) %# tle [unetion {(r) ~imr around thc point (0,0). Use thea Vinent #pivraxiuatin E(a)ete Amd cbs eperesesiqey& value of tan (=(,25}, Compate Yut appFoximation wobi (be ensl valuer

5. Find the linenr "pproximatiou L(v) lxr Ahe luuctJon f() =In, ArOlal the point (1,0), Ust (hee Iinent #ppoxinuation L(?) to find the approximate value of In (1.3). Coxpare VOr appuroximation with the exaet value Find the linear #ppraximnation E(a) %# tle [unetion {(r) ~imr around thc point (0,0). Use thea Vinent #pivraxiuatin E(a)ete Amd cbs eperesesiqey& value of tan (=(,25}, Compate Yut appFoximation wobi (be ensl valuer



Answers

Find the exact function values, if possible. Otherwise, use your GDC to find the approximate value accurate to three significant figures. a) $\sin 2.5$ b) $\cot 120^{\circ}$ c) $\cos \frac{5 \pi}{4}$ d) $\sec 6$ e) $\tan \pi$

For the first part of the question, we have 10 35 therefore understand, by my six for 10 3 pair, Ford is minus one minus one by two or three. So this is the call to minuses. Through three plus one by 43 not 10 75 12. In return, it's 10 35 wherefore minus by by six. So that would mean for 2, 10 35 or four minus 10. 5 Basics divided by one less, then three by their food. Okay, 10 56 So this will be called toe minus off. Three plus one by two or three bettered by one plus minus one and two one Beirut tree. But you called to minus three plus one. There are three and two or three. My next one, My God. Three. Now canceling. This will have minus off a little three plus one. My little pre minus one

First I have to produce this get up plots and then get a regression model. I'm were used isthmus for that. This is the desk. Most of states I click on this button and then no. These extracts from negative 10 up to positive 10. And then why start from negative 10 after positive 10. But any idea? I said for the eggs, Very abu. The minimum. It's one and the maximum is 10. And then for the waiver with the minimum is three prints one and the maximum is 7.5. So, your groom, it changes today access to reflect our dear s. It's so I click here and then make sure the excesses start from negative when? After 12. And then the way I will start from negative one after 10 so that I capture on my data values. Okay, then I clicked on this plus sign. They choose table extra represents my eggs and then y will represents my why I entered of values for X. And then I entered a values for why. Okay, this is the Scud uploads I need to provide. And then for the model regression model regression equation, I type Why and I type one. And they used a total sign. I type M type X and then I tape one. They're plus B. So this value here goes in there for em. And then this value Goosen, therefore be therefore for parts in my model. Then becomes this for parts B. I have an X value, and there might find the corresponding why Value thanks. Value here is zero point fire. So all I do is I plug in 0.5 into the question and then I find a wife value. So he's in a cop leader. I have white. We call to this, and then I can a prism it This value to negative 0.3. Then for Patsy, I have a a y value. Now mice find the price one x value. So a plugging 0.54 Why? And then I find the correspondent eggs value. Do you know the letter bits off a job right here? Okay, so I have extra beat. He called to this essentially what? I'm reading his I'm dividing through by the coefficients off X. So X is it? Go to zero points. 9/8 91 and then I cannot Books meets that when

First must produce a scare up votes and they must get that model from the scallop plot I'll use. Desperate was for this. This is the dismissive site, so I click on this button there. We note that the X value start from negative. 10 have to positive 10 and then wife from negative. 10 have to positive 10. So we'll make changes to our dear assessed to flip this. The X value has a minimum value off one. I mean, the X variable has a minimum value off one, and then it has a maximum value off 10 and the wife arable Haas a minimum off three points one the maximum off 7.5. So we have to make changes to the axis so that they reflects this range. Now I will click on this sighing or this symbol and then let the excises start from negative one after 12. And then why would start from negative one after 10 so that I cover all the data values Now our click on this blast sign and then choose table extra phrase to eggs values and why one refreshed? Why values? So I enter my values here and then I do seem for the why notice as I enter my life values, I have a life review of how my data off, How my diagram will look like once I complete the data entry. Okay, so this is the scatter plots we need to produce. And then for the model I type why? And then I type one. I used it. Sort of sign. I type M I type X and then I type one plus b. Okay, this going for em and then that will go in for B. So our motor then becomes this. So for parts e, I have this to be the model and then for parts B. I have a giving x value in that. And I must find the correspondent. Why value? So all I do is I plug in the X value into the equation and they using a cock leader, the value thing becomes 8.16485 which I can approximates to a 0.165 Then for part c have a giving why value and I must find the X value the Y value given this 140. So I plugged this value into the equation. And then I find the X value. So doing a letter or debris here. Okay, Then I divide through by the coefficients off X. So I should have X to be quote with this. And then we have this value two points. I mean to 79.4 U. H. 16 to be the X value, which we can approximate 2 to 79 points full.

In the problem we have been given ffx come away and this is equal to eat the power two X plus three way. Now. In part area to find the equation of tangent plane. So it has given us the equals F. Of X comma X. Not comma. Why not plus fx? It's not why not? X -6. Not F. Y. It's not why not? Why minus? Why not? So Jared is called one plus either the power of two X plus three while into two In two X 0. Plus even the power of two, X plus three. White Into three into Y zero. Security equals one plus two X. Either the power two X plus three plus three. Why eat the power to express three way? So this is the answer for part of the problem. Now we have but be So here if explain away is equal to the to the power of two x plus three. Y. Now F of 0.1 and zero equals Eat the power 0.1 that is to into europe and one plus zero. So this is equal to eat bar zero point to that response to 1.2 F of zero and 0.1 equals to the power zero plus 3 to 0.1 that he calls it the power 0.3. This corresponds to 1.3. Now, in part c of the problem, we have to find a 5 0.1. And you know, this is equal to eat the power 0.2. That corresponds to 1.214 F of zero and you're a 00.1 that equals to the power of europe 13 That corresponds to 1.3499. This is the answer to the problem.


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