5

Find an equation of the tangent plane to f(c,9) = 2 - sin(3y) at the point (0,7 )_...

Question

Find an equation of the tangent plane to f(c,9) = 2 - sin(3y) at the point (0,7 )_

Find an equation of the tangent plane to f(c,9) = 2 - sin( 3y) at the point (0,7 )_



Answers

Find an equation of the tangent plane at the given point.
$$
f(x, y)=x^{2} y+x y^{3}, \quad(2,1)
$$

In the problem we have cost Xy into Y plus X. Y. Les that equals virus on today's hawaii cost X. Y. That's ex white ass because X. Y. That equals awareness. So why cause X. Y. Equal to Why does one -X? Of course X. Y. So why does is equal to why cars xy upon one minus X. Cause X. Way therefore violence at By a .2 and one is equal to zero. And the equation of Tangent line will be why -Y1 with one That equals zero into X- by a .2. So why minus when it was zero? Therefore Why people to 1? This is our answer.

In this problem off different station, you have to find the equation off Tangent plane given by the graph if affixed to my mind took, I was given by the equation and for fixed for my wife is going to x square less Why Baba minus two. That's zero comma one. So first we know the integration of the dancing queen from the game it stays that this s force is involved. X Comma y is no clearly in Europe, but they come on be Let's no, that is defensible at income on being okay then the inclusion of the tangent plane Then it's equation tangent and equation is given by it. See music and for thing Come on, being since effects off paying for Martin. When directs my nose a instead. Royals being the money, Rachel. Why minus any. So first, let's you know the friendship like phone Kermabon. So let's find partial generators and see if this country was it. Affects affects someone. Why, that is differentiating equation number one. Partially with respect. Oh, thanks. We will get the wits. Zero. I speak soft. Come on, think question eight. And now if y all fixed. Come on, buddy. skimming my zero less minus student. Why bother my mystery? So Israel's will come up final Z culture minus two. Okay, so if we see the partial literate is so continuous function doing maintains which for the implies that and suppose makes them off this. Okay, Etch Front amount that No, we will find a waas for Kermabon in order to finding we should play. Kill him. That's what we X squared, which is four square less one power. My instrument, this will be 2016 was wanting to spring the 17. Now the equation that the engine planes No using equation about two using equation. We're good. The immigration since the tangent plane was given by it is easy little info from RV, which is 17 plus If excels make the movie in fact so four comma one the billiard side. This situation is before folk. Um, oven. Yes, we reflect So Foca Marvan. Thank you. X minus four Less than playoff Ancient Y minus one. This is a point to 17. Yes, 18 to X minus four. Yes, minus two in the group. Why Loneliness So Z is equal to a text minus two white 17 minus 32 plus two that will be going to minus 13

In this problem we will cover the equation of a tangent plane. So to begin, I have written in green the general equation for a tangent plane. And we see that we will have to find first F. A. B. Then we'll be finding the partial derivative with respect to X. And last the partial derivative with respect to why. So we will begin first by finding f. of two. three high over four. And we see that when we plug it in We get sign of three pi over two And that is going to be equal to -1. So now we move on and we want to find the partial derivative with respect to X. And we know that is just going to be finding the derivative of sine of X. Y while holding why fixed. So we have the derivative of the outside of that which is going to be co sign A X. Y times the derivative of the inside since I said why is it constant? That's what will be multiplying by. So our answer is why post X. Y. And the partial derivative with respect to X. At the .23 pi four, it's going to be C. three Pi over four. Multiplied by co sign of three Pi over two. And the coastline of three pi over two is just zero. So that means this whole Thing is going to be zero as well. So moving on to our partial derivative with respect to Y. And that's just finding the partial derivative up sign while holding X constant now. So take the duration of the outside girls sine of X. Y. And now since X is the constant. We're multiplying rex. It's our final answer is X. Times coast of X. Y. When we plug in the point to three, pry over four, we get Now two times again co sign of three pi over two. We know that zero, so this partial derivative is zero as well, so that means that our final answer. So the equation of the tangent plane is just going to be Z equals negative one, and there we have it.

In this problem of different station, we have to find the equation off the tangent off the Function Tangent plane of the function given by geo off X comma y is equal to eat power x by. Why, at the point to come up one. So in order to find they were going to use the zero if Ethel's extreme a. Why therefore fixed common while is locally linear or different shipper to at a coma? Be then it's tangent Plane was given by Z is equal to f off a command. Be plus effects off a comma Be into ex Miner said, because why else they cannot be into my minus B. So now we have to prove that they're the geo affects is nuclear union or different several. For that, we will check the partial elevators now differentiating G with respect to x partially g o g X affects from a wife will be equal to eat power expire right and for the differentiating. It's why why we will get keeping wires for instant. We will get one by wife so gx off to come a one at the point Tokuma one. This will be able to keep our toe by one. Is he Power square in two, one by one is one so Z square? No, that's differentiate the function partially with respect. Wife keeping access constant like in get differentiating. If I would explain why I think people would explain why differentiating it's my wife, actually with respect Oh, why didn't get minus expired my swift. So no gxf two comma once that shooting the values effects and why we get he square in tow minus two by one that is minus two squared. Sure, this in place partial decorators No continue is that is gov X y is locally linear. That is different. People at two command mark therefore using the equation save one. So the equation off the tangent plane? Yeah, and it took him one. This so equation till we're going to use that is the zipper to a force that is geo toe comma one. There's GX self Oh, come on. One into x minus to you There's g by off. Oh, come on. One into why minus one So bean subscribe to different. Before that we will find Geo to come a one that is equal to B squared. So the equation will becomes easy. Mental. We squared plus gxe off Tokuma one is the square in directs minus student. Yes, minus to be squared into y minus one. So we simplify this immediate. He spread eggs. That is the easy country. Squared eggs minus to the squares wide. So minus two We square. Let's those square will get cancer. So we we left up and leaving in square And this is the question or thought Tangent plane.


Similar Solved Questions

5 answers
If you were given the choices shown on the top for the design of a conservation area list the pros and cons of each in terms of conserving biodiversity, citing examples that support your statements (such as studies of landscape fragmentation) The circles are drawn to relative scale_
If you were given the choices shown on the top for the design of a conservation area list the pros and cons of each in terms of conserving biodiversity, citing examples that support your statements (such as studies of landscape fragmentation) The circles are drawn to relative scale_...
5 answers
Which of the following is not a function of proteins?Multiple Choicequick energysupporttransportmotionenzymes
Which of the following is not a function of proteins? Multiple Choice quick energy support transport motion enzymes...
5 answers
Exercise 4: (8 Marks)State and prove the open mapping theorem_2 State and prove the closed graph theorem_
Exercise 4: (8 Marks) State and prove the open mapping theorem_ 2 State and prove the closed graph theorem_...
5 answers
1 1 Upu an IL 1
1 1 Upu an IL 1...
5 answers
PPMOraloprductLa6ei Spectrum _
PPM Oralo prduct La6ei Spectrum _...
4 answers
Solve the following Euler differential equation: t2 +8ty +l0y =
Solve the following Euler differential equation: t2 +8ty +l0y =...
5 answers
Dray fomscarbocatonslabilisenresonance (dravrasoranceExplaln; supporling Hlustrations Ienian carnocalion may be MOrt Stal € pnilny' cajuccaljn Wvnal acuricuC ciucti uric requirameni; JrB necersar' lor hyperconjugabon?Propose Mechanim followang reaction Justify therm odynamic dnving force for each rearangament
Dray foms carbocaton slabilisen resonance (drav rasorance Explaln; supporling Hlustrations Ienian carnocalion may be MOrt Stal € pnilny' cajuccaljn Wvnal acuricuC ciucti uric requirameni; JrB necersar' lor hyperconjugabon? Propose Mechanim followang reaction Justify therm odynamic dn...
5 answers
Determine whether the statements are true or false. If a statement is false, find functions for which the statement fails to hold.In each part, find functions $f$ and $g$ that are increasing on $(-infty,+infty)$ and for which $f-g$ has the stated property.(a) $f-g$ is decreasing on $(-infty,+infty)$.(b) $f-g$ is constant on $(-infty,+infty)$.(c) $f-g$ is increasing on $(-infty,+infty)$.
Determine whether the statements are true or false. If a statement is false, find functions for which the statement fails to hold. In each part, find functions $f$ and $g$ that are increasing on $(-infty,+infty)$ and for which $f-g$ has the stated property. (a) $f-g$ is decreasing on $(-infty,+infty...
5 answers
Staphylococcus = OelC opportunistic pathogen that takes advantages of breaches the host defenses Infection by _ aureus results all of the following EXCEPTNecrotizing fasciitis (flesh eating bacteria)Food poisoningOstcomyclih: (bone infections)Lesions (furuncle and carbuncle}Cellulitis
Staphylococcus = OelC opportunistic pathogen that takes advantages of breaches the host defenses Infection by _ aureus results all of the following EXCEPT Necrotizing fasciitis (flesh eating bacteria) Food poisoning Ostcomyclih: (bone infections) Lesions (furuncle and carbuncle} Cellulitis...
5 answers
Identify the inflection points and local maxima and minima of the functions graphed in Exercises $1-8 .$ Identify the intervals on which the functions are concave up and concave down. $$y= rac{x^{3}}{3}- rac{x^{2}}{2}-2 x+ rac{1}{3}$$
Identify the inflection points and local maxima and minima of the functions graphed in Exercises $1-8 .$ Identify the intervals on which the functions are concave up and concave down. $$ y=\frac{x^{3}}{3}-\frac{x^{2}}{2}-2 x+\frac{1}{3} $$...
5 answers
Make sure that the calculator is in radians_ x 3 Find lim 1- OO 16.2 4x + 1
Make sure that the calculator is in radians_ x 3 Find lim 1- OO 16.2 4x + 1...
5 answers
Find the equation of the line_ Write the equation in standard formSlope 0; (hrough ( - 2,3)The equation of the line in standard form is (Type your answer in standard form Use integers or fractions for any numbers in the equation )
Find the equation of the line_ Write the equation in standard form Slope 0; (hrough ( - 2,3) The equation of the line in standard form is (Type your answer in standard form Use integers or fractions for any numbers in the equation )...
5 answers
What volume of hydrogen gas isproduced when 57.7 gof sodium reacts completely according tothe following reaction at 25 °C and 1 atm? sodium (s) + water(l)sodiumhydroxide (aq) + hydrogen(g) __________liters hydrogen gas
What volume of hydrogen gas is produced when 57.7 g of sodium reacts completely according to the following reaction at 25 °C and 1 atm? sodium (s) + water(l)sodium hydroxide (aq) + hydrogen(g) __________liters hydrogen gas...
5 answers
QuestionQuitef euring Is 0.0 matore long- It the atring oscillatlng ce Ihe gerond Aaronoric etending wevu (r etring 0l net Wunoul, whut I Ire @ wovalangih 0f Ina oacIllallon?0.,3 m0.8 m1.2m0.15m
Question Quitef euring Is 0.0 matore long- It the atring oscillatlng ce Ihe gerond Aaronoric etending wevu (r etring 0l net Wunoul, whut I Ire @ wovalangih 0f Ina oacIllallon? 0.,3 m 0.8 m 1.2m 0.15m...
5 answers
2. Write the null and alternative hypotheses as mathematical statements and identify the claim for the following statement_ Be sure to use correct notation/symbols. sports writer claims that the mean score for all NBA games during particular season was at most 110 points per game.Ho:Ha:Claim:
2. Write the null and alternative hypotheses as mathematical statements and identify the claim for the following statement_ Be sure to use correct notation/symbols. sports writer claims that the mean score for all NBA games during particular season was at most 110 points per game. Ho: Ha: Claim:...
4 answers
A chemist needs to make 300 ounces of a 40% acid solution by mixing a 30% acid with an 809 acid, Find the number of ounces needed of each type of acid: (5 points)
A chemist needs to make 300 ounces of a 40% acid solution by mixing a 30% acid with an 809 acid, Find the number of ounces needed of each type of acid: (5 points)...

-- 0.021203--