Calculadoras gratuitas paso por paso para álgebra, Trigonometría y cálculoIntegral from 2 to 4 of e^ {3xy} \square!X^33x^2y3xy^2y^3 ———————————— X^3y^3 Get the answers you need, now!
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X^3-y^3-3xy biết x-y=1-Solution for xy2xy=3 equation Simplifying x y 2xy = 3 Reorder the terms x 2xy y = 3 Solving x 2xy y = 3 Solving for variable 'x' Move all terms containing x to the left, all other terms to the rightQuestion Let f(x, y)= x^3y^3 3xy (a) Find the critical points of f (b) Classify each critical point in part (a) as either a local maximum, local minimum, or saddle point This problem has been solved!
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D x 2 d 2 y = (y 2 − 2 x) 3 1 2 x 2 y 2 − 1 6 x y − 2 x 4 y − 2 x y 4 Use implicit differentiation to find the largest yvalue in the loop of the Folium of Descartes, which is given by x^3 y^3 3xy x 3 y 3 = (x y)(x 2 xy y 2 ) this formula can be derived from (x y) 3 = x 3 y 3 3xy(x y) x 3 y 3 = (x y) 3 3xy(x y) x 3 y 3 = (x y)(xLet {eq}f(x, y) = 3xy x^3 y^3 {/eq} Find all critical points of {eq}f {/eq} and state whether each is a local maximum, local minimum, or saddle point
Simple and best practice solution for (y^33x^2y)dx(x^33xy^2)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homeworkVisit to my Channel https//youtubecom/c/GRAVITYcoachingInstituteVisit to my Channel Playlist https//wwwyoutubecom/c/GRAVITYCOACHINGINSTITUTE/playlists Bạn để ý $xy1=1$ thì $x^2y^2xyxy1=x^3y^33xy1$ và trường hợp kia cũng như vậy
Differentiate with respect to x 3x^2 3y^2dy/dx=3(xdy/dx y) 3x^23y^2dy/dx =3xdy/dx3y 3y^2dy/dx3xdy/dx=3y3x^2 dy/dx(3y^2–3x)=3y3x^2 dy/dx=(3y3x^2)/(3y^2–3x f(x)=x³y³3xy f'x=3x²3y=0, 得y=x² f'y=3y²3x=0，代入y得：x^4x=0, 得x=0, 1 得驻点(0, 0) (1, 1) A=f"xx=6x B=f"xy=3 C=f"yy=6y 在(0, 0), A=C=0, B²AC=9>0, 所以这不是极值Y = 3/2 La pendiente de la recta tangente en un punto es igual a la derivada de la función en dicho punto Derivamos bajo la forma implícita (el segundo miembro es un producto) 3 x² 3 y² y' = 3 y 3 x y' y' (3 y² 3 x) = 3 y 3 x²;
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In equation number 1 ,x=1,y=1 is the only solution in integers In the second equation ,there are no integer solutionsPodemos cancelar el 3(a) x 2 y 2 2xy (b) x 2 y 2 – xy (c) xy 2 (d) 3xy polynomials
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u = x 3 y 3 3xy 2 ∴ u is a homogeneous function in x and y of degree 3 ∴ By Euler's theorem, Related questions 0 votes 1 answer Let u = x^2 y^3 cos(x/y) By using Euler's theorem show that x∂u/∂x y∂u/∂y asked in Applications of Differentiation by Darshee (491k points) applications of Explanation differentiate implicitly with respect to x The product rule has to be used on the right side 3x2 3y2 dy dx = 3x dy dx 3y ⇒ 3y2 dy dx −3x dy dx = 3y − 3x2 ⇒ dy dx (3y2 −3x) = 3(y − x2) ⇒ dy dx = 3(y − x2) 3(y2 − x) = y − x2 y2 − x Answer linkElaborating x 3 y 3 using identity a 3 b 3 = (a b)(a 2 ab b 2) = x ( x y)(x 2 xy y 2) 3xy (x y ) Taking common x( x y ) in both the terms = x ( x y){x 2 xy y 2 3y} ∴ x (x 3 y 3) 3xy ( x y) = x ( x y )(x 2 xy y 2 3y)
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Which of the following is a factor of (x y) 3 – (x 3 y 3 )?31 Factoring x 3 3x 2 y3xy 2 y 3 x 3 3x 2 y3xy 2 y 3 is a perfect cube which means it is the cube of another polynomial In our case, the cubic root of x 3 3x 2 y3xy 2 y 3 is xy We need to differentiate x 3 y 3 ( x) = 3 x y ( x) Let's do each term one by one Differentiate x 3 You should quickly see this is 3 x 2 To differentiate ( y ( x)) 3, we need to remember the chain rule This can be written in many different ways, but this is a composition of the functions ( ⋅) 3 ∘ y ∘ x
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Câu hỏi 62 a) Cho xy=1 Tính giá trị của biểu thức x 3 y 3 3 x y b) Cho xy=1 Tính giá trị của biểu thức x 3 − y 3 − 3 x y Câu hỏi trong đề Ôn tập Phép nhân và phép chia đa thức có đáp án !!X y is a binomial in which x and y are two terms In mathematics, the cube of sum of two terms is expressed as the cube of binomial x y It is read as x plus y whole cube It is mainly used in mathematics as a formula for expanding cube of sum of any two terms in their terms ( x y) 3 = x 3 y 3 3 x 2 y 3 x y 2Factor x^3y^3 x3 − y3 x 3 y 3 Since both terms are perfect cubes, factor using the difference of cubes formula, a3 −b3 = (a−b)(a2 abb2) a 3 b 3 = ( a b) ( a 2 a b b 2) where a = x a = x and b = y b = y (x−y)(x2 xyy2) ( x y) ( x 2 x y y 2)
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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more If x y = 1, then find the value of x3 – y3 – 3xy 1 See answer plus Add answer 5 pts report flag outlined bell outlined Log in to add comment sugar15 is waiting for your help 0 View Full Answer Vishnu Rai, added an answer, on 25/5/17 Vishnu Rai answered this Please find this answer Was this answer helpful?
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#(x^2y^22xy)(xy)=x^3x^2yxy^2y^32x^2y2xy^2# #rArr x^3y^33x^2y3xy^2# Always expand each term in the bracket by all the other terms in the other brackets, but never multiply two or more terms in the same bracketClick here👆to get an answer to your question ️ If xy yx = 1, (x, y ≠ 0) , then value of x^3 y^3 isThat is, local maximum/minimum and saddle point, if any
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The equation x³ 3xy y³ = 1 is solved in integers Find the possible values of xy x³ 3xy y³ 1 = 0 We divide both sides by x (1y) or xy1 Solve for x via the quadratic formula One thing to note the expression inside the radical is equal to 3(y1)^2 Since the square of a number is always nonnegative, we will never(x•((x 3)(y 3)))3xy•(xy) Step 2 Trying to factor as a Difference of Cubes 21 Factoring x 3y 3 Theory A difference of two perfect cubes, a 3 b 3 can be factored into (ab) • (a 2 ab b 2) Proof (ab)•(a 2 abb 2) = a 3 a 2 b ab 2ba 2b 2 ab 3 = a 3 (a 2 bba 2)(ab 2b 2 a)b 3 = a 3 0 0b 3 = a 3b 3 Check x^3 y^3 = 3xy^2, find dy/dx using implicit differentiation
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See the answer See the answer See the answer done loadingCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history x 3 y 3 z 3 −3xyz=0 ⇒x 3 y 3 3x2y3xy 2 z 3 −3xyz−3x 2 y−3xy 2 =0 ⇒(xy) 3 z 3 −3xy(xyz)=0 ⇒(xyz)((xy) 2 z 2 −(xy)z)−3xy(xyz)=0
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Find an answer to your question Factorize x(x3 – y3) 3xy(x – y) 34 Compare and analyse the given data of distribution of working persons inpercentage) in different sectors (industrial categories) during the year 2Now your easily get the answer X×3 Y×3 = 9×3 5×3 this implies, 27–15=12 Hence 12 is the right answer for this I would suggest a trick for that make a pair in which XY =4 and choose that no if we multiply both then they give less than 45 After 2–3 attempt if you are beginners you can easily find the correct pair for all equationsClick here👆to get an answer to your question ️ factorise x^3 3x^2y 3xy^2 y^3 8
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Exceptuando x = 0 2 x = 3; Find the extreme values of the function x3 y3 – 3xy Let a, b ∈ R be such that the function f given by f(x) = ln x bx^2 ax, x ≠ 0 has extreme values at x = – 1 and x = 2X y =7, it means both x, y are positive integer this equation have many values x & y lie between (0,7 but equation x y = 10 pose another constrain that their product is 10 The only possibility for value x & y is x= (2,5) and y = (5,2) this means if x= 2 then y = 5 vice Versa For both the values of x, y value of x^3 y^3 is
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If X 3 Y 3 1 3xy Where X Y Determine The Value Of X Y 1
1 Log in Join now 1 Log in Join now Ask your question 35aryan Mathematics High School 5 pts Answered X^33x^2y3xy^2y^3Originally Answered What is the value of x in 5^x1=6^y and 2^xy=3^xy? 281 Bài viết Giới tính Nam Đến từ THPT chuyên Phan Bội Châu Nghệ An Đã gửi 01 cho x,y là các số thực thỏa mãn x2y2 = 2 x 2 y 2 = 2 tìm min max của P= 2(x3y3)−3xy 2 ( x 3 y 3) − 3 x y Trở lên trên
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The function F(x, y) = x 3 y 3 3xy 4 First order partial derivatives f x (x, y) = 3x 2 3y f y (x, y) = 3y 2 3x Second order partial derivatives F xx (x, y) = 6x F yy (x, y) = 6y F xy (x, y) = 3 Step 2 The critical points satisfy the equations f x (x,y) = 0 and f y (x,y) = 0 So solve the following equations F x = 0 and F yMath(x^3y^3)dx 3xy^2dy=0/math math3xy^2dy = (x^3y^3)dx/math math3\frac{dy}{dx} = \frac{x^3y^3}{xy^2}/math math3\frac{dy}{dx} = \frac{x^2}{y^2F(x,y)=x^3y^33xy 分别对x,y求偏导 fx=3x^23y fy=3y^23x 令fx=0,fy=0,可得x=0,y=0,或x=1,y=1这2个驻点 然后求二阶偏导 fxx=6x,fxy=3,fyy=6y x=0,y=0时,fxx=0,fxy=3,fyy=0,(3)^>0,所以(0,0)不是极值点;
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Transcript Ex 25, 9 Verify (i) x3 y3 = (x y) (x2 – xy y2) LHS x3 y3 We know (x y)3 = x3 y3 3xy (x y) So, x3 y3 = (x y)3 – 3xy (x y x³ x³ = 3 x²;Calculus Find dy/dx x^3y^3=3xy^2 x3 y3 = 3xy2 x 3 y 3 = 3 x y 2 Differentiate both sides of the equation d dx (x3 y3) = d dx(3xy2) d d x ( x 3 y 3) = d d x ( 3 x y 2) Differentiate the left side of the equation Tap for more steps
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Find the critical points of the function {eq}f(x,y) = 4 x^3 y^3 3xy {/eq} and classify them as local maximum or minimum or saddle pointsCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge and Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange
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Trả lời (1) x 3 y 3 3xy= (xy) (x 2 xyy 2 )3xy (2) Nếu bạn hỏi, bạn chỉ thu về một câu trả lời Nhưng khi bạn suy nghĩ trả lời, bạn sẽ thu về gấp bội!A) Find the critical points of f(x,y)=3xy−x^3−y^3 b) Compute the secondorder partials and the discriminant c) Analyze the critical points using the Second Derivative Test;Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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