5 answers

Due in hours, 45 minutes. Due Tue 10/08/2019 11.59 pn 13e" Then the equation of the tangent line to the

Question:

Due in hours, 45 minutes. Due Tue 10/08/2019 11.59 pn 13e" Then the equation of the tangent line to the graph of f(r) at the point (0, 12) is given by Let f(z) 101 MnI for Preview Preview Get help: Video


Answers

Let $f(x, y)=x e^{y^{2}}-y e^{x^{2}}$ (a) Find the equation for the tangent plane to the graph of $f$ at (1,2)

.

In this problem, we will cover the tangent line. So in order to find the tangent line for this function at the .1, 2, we first would have to find what the slope of the tangent line is going to be. And we do that by finding the derivatives Of this function at x equals one. So we will start off by writing as prime of one and we know that's going to be the limit As X approaches one of F of X -F one Over X -1 and we know what our function is, X cubed plus one and we know that F one is going to be too. So the top is going to be x cubed minus one Over X -1.

Now we can factor out the top a bit. So we will get X -1 times X squared plus x plus one, All over X -1. And we see that we can cancel out the X -1 terms. And we are left with the limit as X approaches one of x squared plus x plus one. And we will get that if we plug in one for x, r slope is going to be three.

So now that we have our slope, we can proceed to the attention of an equation and we know that point slope form of a tangent line equation is going to be why minus F. And in this case will be one whatever 1 equal to The derivative at one Times X -1. That's going to be why -2 Equals three times x -1. And when we multiply three by x minus one and then add to through the right hand side, we will get that are tangent line equation is y equals three X minus one. And so we have to the left the graph of X cubed plus one and that's in green.

I have the .12 showed off with an arrow and are tangent line and pink, and we see that it touches the grass At the .12 only, and there we have it..

Any time you're asked to do a tangent line problem, make sure you have the point which they give you the order pairs 11 and the slope. Well they don't give you the slope but they give you the uh the equation. So you need to find the drift of and plug in one for X and one for why. So this original problem gives you X x plus y minus E. To the x minus Y.

Uh is equal to one. So to find the derivative will just take the derivative of each piece. A derivative of X is one. The derivative of wise dy dx. Again, we're doing implicit differentiation minus the derivative of E.

Is itself. But then you have to multiply by the derivative of that exponent which would be another one minus dy dx. And then the drift of the right side is zero. Now I would not solve for dy dx. What I would do is start plugging in one for X and one for why.

And then try to solve for dy dx. So as you're looking at this it makes it easier because e to the zero power is equal to one. So I'll have to do is figure out one plus dy dx minus one plus dy dx would be equal to zero. Okay well one minus one would cancel. So I have two.

Dy dx is yeah. Which are equal to zero. If I divide the 2/0 divided by two is zero. So now I can come up with the equation endpoint silk form. I like point slope form.

That's what I teach it. Where the y coordinate goes with why the slope goes in front of the parentheses, X minus the x coordinate of one. This is kind of nice because zero times anything is still zero. So all I have to do is add 1 to 0. This one is being moved to the right side and so what we have is a horizontal tangent line and why it was one.

So here they give an indication of the plane F. Of X. Way. All right. F F X.

Y. Z. Called. Oh X minus Y plus two. Okay so we need to find out its stand and plain at the point.

It's not comma why not come up F of X Not? Why not? And it is given that it's not why not is equal to one comma one. Therefore the point can be witnessed 1:01. Yeah, that's not. Why not? So we secured the value of one here extra. And why not? Here.

That is 1 -1 Plus two. That is so the question of the tangent plane is here. And S. Yeah. For facts not why not? Plus the partial durability of ffx not why not window explain a sex not.

Plus the partial variety of if our facts not why not in the why am minus? Why not? Okay. So first let us find out the possibility that is partial derivative with respect to X. Is equal to. So what is our function X minus Y. Minister, that is, It will be cold one And at the .1 it will be one and partial already with respect to Y is equal to -1 and a 2.1.

It doesnt remained the same. Therefore, the equation has given us There is a killer two plus one name to explain this one -1 and two y minus one. That is physical two plus x -1 -Y Plus one. That is that is equally explain us why yes, is the question of the attention..

In the problem, the function is given as this. Now the question of tangent plan will be jay equals and If at 1:01 will be used. Power zero. This is equal to one. Plus.

Effects will be eat for x minus y at one comma one in two, X minus one plus. Eat the power x minus Y At 1:01. So it will be minus here because why it has been my assigned So it will be here minus Into Y -1. Sir, J equals one. Class, one minus one is zero.

So you deposit is one in two x minus one minus you power Djourou and that is Equal to one Y -1. So we have got equals one plus x minus one minus y plus one. This plus and the minus cancers each other. Hence we have jade equal X -Y plus one as the answer to the problem..

Similar Solved Questions

1 answer
Consider a general full rank linear model y = XB+€ with p > 2 parameters. Derive an expression for & joint 100(1 a)% confidence region for parameters B; and 8j, where and ] are arbitrary.
Consider a general full rank linear model y = XB+€ with p > 2 parameters. Derive an expression for & joint 100(1 a)% confidence region for parameters B; and 8j, where and ] are arbitrary....
1 answer
4. For the beam shown below,fe' = 4000 psi and fy = 60,000 psi. (20 points)...
4. For the beam shown below,fe' = 4000 psi and fy = 60,000 psi. (20 points) (a) Compute the effective flange width at midspan. 911-6 in (a) Beam section and distance to adjacent beams Support (negative bending) Midspan positive bending) 7 No. 7 bars IIT 3 No. 8 plus 2 No. 7 bars at midspan 22 2 ...
5 answers
Chemist measures the enthalpy change AH during the following reactionC6Hs() 3 Hz(g) _+ 3CzH4(g)4H =108_Use this information to complete the table below. Round each your answers to the nearest kJlmol:reactlon2C,H, (0) 6H, (g)6CzH4()3C,H, (s)CaHg() 3H, (g)C,H,6) _ 3c,",() + ",6)eera t mla ttalnCheck
chemist measures the enthalpy change AH during the following reaction C6Hs() 3 Hz(g) _+ 3CzH4(g) 4H =108_ Use this information to complete the table below. Round each your answers to the nearest kJlmol: reactlon 2C,H, (0) 6H, (g) 6CzH4() 3C,H, (s) CaHg() 3H, (g) C,H,6) _ 3c,",() + ",6) eer...
1 answer
6:54 PM Tue Oct 29 32%D TODO of @ + 8 0 1. Indifference Curves and...
6:54 PM Tue Oct 29 32%D TODO of @ + 8 0 1. Indifference Curves and MRS Maria is a very typical consumer, and she happens to live in a world with two goods, x and y. In fact, she has strictly convex preferences. (a) Suppose that if you happen to know that if you wanted to draw Maria's indifferenc...
1 answer
In cats, curled ears result from an allele (Cu) that is dominant over an allele (cu)...
In cats, curled ears result from an allele (Cu) that is dominant over an allele (cu) for normal ears. Black color results from an independently assorting allele (G) that is dominant over an allele for gray (g). A gray cat homozygous for curled ears is mated with a homozygous black cat with normal ea...
1 answer
How many molecules are there in an ideal gas with a volume of 3.97 L at...
How many molecules are there in an ideal gas with a volume of 3.97 L at STP?...
1 answer
Show all work please to all problems! 1. all work for this one last part to...
show all work please to all problems! 1. all work for this one last part to another question! stuck on calculating the direct materials spending variance! please show full answer and figure this out as soon as possible! highly appreciate it! Evanson Company expects to produce 516,000 units of th...
3 answers
How do you find the value of #( \frac { 216} { 1000} ) ^ { \frac { 2} { 3} }#?
How do you find the value of #( \frac { 216} { 1000} ) ^ { \frac { 2} { 3} }#?...
1 answer
Vision is blurred if the head is vibrated at 29 Hz because the vibrations are resonant...
Vision is blurred if the head is vibrated at 29 Hz because the vibrations are resonant with the natural frequency of the eyeball held by the musculature in its socket. If the mass of the eyeball is 7.1 g, what is the effective spring constant of the musculature attached to the eyeball?...
5 answers
QuestiorFor the right triangle below, find the length of x
Questior For the right triangle below, find the length of x...
1 answer
Background information about Hereditary Spherocytosis about 3 pages if possible shera O introduction, topic, and role....
background information about Hereditary Spherocytosis about 3 pages if possible shera O introduction, topic, and role. (Online: Week 4, 20 points) Med math Pre-test Homework: 3 to 4-page Literature review (background information of your Final paper on disease topic assigned week 1 (100 points: A...
1 answer
How does the heat flow and movement within earth cause earthquakes?
How does the heat flow and movement within earth cause earthquakes?...
1 answer
* Exercise 13-05 a-b Suppose the comparative balance sheets of Larkspur, Inc. are presented here. LARKSPUR,...
* Exercise 13-05 a-b Suppose the comparative balance sheets of Larkspur, Inc. are presented here. LARKSPUR, INC. Condensed Balance Sheet May 31 ($ in millions) 2020 2019 $9,640 2,010 1,450 $13,100 $8,720 1,840 1,730 $12,290 Assets Current Assets Property, plant, and equipment (net) Other assets Tota...
4 answers
Let T R? R? be linear transformation_ Remember to show your work Find the matrix A that induces T iF T is reflection over the line ! = Find the matrix A that induces T if T is # rotation through an angle of {. Find the mAtrix A that induces T if T is rellection Over the line followec[ rotation through A angle of
Let T R? R? be linear transformation_ Remember to show your work Find the matrix A that induces T iF T is reflection over the line ! = Find the matrix A that induces T if T is # rotation through an angle of {. Find the mAtrix A that induces T if T is rellection Over the line followec[ rotation throu...
1 answer
Please answer fast The president of the retailer Prime Products has just approached the company's bank with a request...
please answer fast The president of the retailer Prime Products has just approached the company's bank with a request for a $85,000, 90-day loan. The purpose of the loan is to assist the company in acquiring inventories. Because the company has had some difficulty in paying off its loans in the ...
1 answer
(5 points) Consider each of the scenarios below. For each statement, decide which statistical procedure is...
(5 points) Consider each of the scenarios below. For each statement, decide which statistical procedure is most appropriate. 1. Mr. Taylor's 4th grade class uses Skittles to learn about probability. They open several randomly selected bags of Skittles and sort and count the different colors and ...
5 answers
Which of the following aqueous solutions are good buffer systems?0.30 M ammonium bromide + 0.37 M ammonia 0.38 M nitrous acid 0.30 M sodium nitrite 0.17 M sodium cyanide + 0.22 M hydrocyanic acid 0.15 M acetic acid + 0.20 M potassium acetate 0.28 M hydroiodic acid + 0.22 M sodium iodide
Which of the following aqueous solutions are good buffer systems? 0.30 M ammonium bromide + 0.37 M ammonia 0.38 M nitrous acid 0.30 M sodium nitrite 0.17 M sodium cyanide + 0.22 M hydrocyanic acid 0.15 M acetic acid + 0.20 M potassium acetate 0.28 M hydroiodic acid + 0.22 M sodium iodide...
5 answers
1 3) Compute the sample mean and sample variance for the following dataClass 0 7Cumulative Frequency 10 30 60 8014 21 2814 21
1 3) Compute the sample mean and sample variance for the following data Class 0 7 Cumulative Frequency 10 30 60 80 14 21 28 14 21...
1 answer
Required information The general ledger of Red Storm Cleaners at January 1, 2021, includes the following...
Required information The general ledger of Red Storm Cleaners at January 1, 2021, includes the following account balances: Accounts Debits Credits Cash $ 10,500 Accounts Receivable 6,100 Supplies 2,100 Equipment 19,500    Accumulated Depreciation $ 6...
5 answers
Question Two: Completely and thoroughly explain how Basic Statistics could be used by a large electrical utility company to predict how much electricity their customers will be using during the different seasons of the year:
Question Two: Completely and thoroughly explain how Basic Statistics could be used by a large electrical utility company to predict how much electricity their customers will be using during the different seasons of the year:...
1 answer
Write the Lewis structure for each molecule. (a) $\mathrm{H}_{2} \mathrm{CO}$ (carbon is central) (b) $\mathrm{H}_{3} \mathrm{COH}$ (carbon and oxygen are both central) (c) $\mathrm{H}_{3} \mathrm{COCH}_{3}$ (oxygen is between the two carbon atoms) (d) $\mathrm{H}_{2} \mathrm{O}_{2}$
Write the Lewis structure for each molecule. (a) $\mathrm{H}_{2} \mathrm{CO}$ (carbon is central) (b) $\mathrm{H}_{3} \mathrm{COH}$ (carbon and oxygen are both central) (c) $\mathrm{H}_{3} \mathrm{COCH}_{3}$ (oxygen is between the two carbon atoms) (d) $\mathrm{H}_{2} \mathrm{O}_{2}$...
5 answers
Z4XEWZMMilOPeeaJeeceutindonmondcpnon
Z4X EWZM MilO Peea Jee ceutind onmond cpnon...
1 answer
1. (10 pts) Determine whether the given series converges or diverges. Be sure to justify your...
1. (10 pts) Determine whether the given series converges or diverges. Be sure to justify your answer. (similar to 10.6 #18) Ex=2(-1)" n2...
1 answer
Sydney Retailing (buyer) and Troy Wholesalers (seller) enter into the following transactions.    May 11 Sydney...
Sydney Retailing (buyer) and Troy Wholesalers (seller) enter into the following transactions.    May 11 Sydney accepts delivery of $31,500 of merchandise it purchases for resale from Troy: invoice dated May 11, terms 3/10, n/90, FOB shipping point. The goods cost Troy $21,105. Sydney ...
1 answer
4. All the residents of Hazzard County love to make fresh apple pies. They all love...
4. All the residents of Hazzard County love to make fresh apple pies. They all love apple pies so much that they all have their own apple trees. Up the road a piece, Uncle Jesse and Daisy keep bees for producing honey (it's really just a front business through which they funnel all of Bo and Luk...
1 answer
4.  POC Instrument measurement mechanism, Describe the mechanism or methodology (principle of operation) used in this device...
4.  POC Instrument measurement mechanism, Describe the mechanism or methodology (principle of operation) used in this device for your chosen analyte (i.e. colorimetric, photometric). Describe the actual measurement process. How is your analyte measured? Explain what specific reagents are u...
1 answer
6:14 PM Tue Jul 14 3 78% Document (71) 1 Home Insert Draw Layout Review View...
6:14 PM Tue Jul 14 3 78% Document (71) 1 Home Insert Draw Layout Review View Calibri Regular (B 11 B I U A. 'L Q1. (40 points) One rod and one disk are placed as shown. Point A is at 30 cm from the center of the rod. The distance from A to the disk is 20 cm. The rod is 20 cm long with uniform ch...
5 answers
An 6,500 kg elephant is traveling at 4.36 m/s: How fast (in m/s) would you (80 kg) need to travel to have the same magnitude momentum as the elephant?
An 6,500 kg elephant is traveling at 4.36 m/s: How fast (in m/s) would you (80 kg) need to travel to have the same magnitude momentum as the elephant?...
5 answers
For what values of $ and t Is the following matrix symmetric? s+t -8 4 2 4 S-( 4 3S=and (=
For what values of $ and t Is the following matrix symmetric? s+t -8 4 2 4 S-( 4 3 S= and (=...
5 answers
Extrema on a curve of intersection Find the extreme values of $f(x, y, z)=x^{2} y z+1$ on the intersection of the plane $z=1$ with the sphere $x^{2}+y^{2}+z^{2}=10$ .
Extrema on a curve of intersection Find the extreme values of $f(x, y, z)=x^{2} y z+1$ on the intersection of the plane $z=1$ with the sphere $x^{2}+y^{2}+z^{2}=10$ ....

-- 0.032303--