(xy)(xy) = x^2xyyxy^2 = x^2xyxyy^2 = x^2y^2 In general, if you spot something in the form a^2b^2 then it can be factored as (ab)(ab) For example 9x^216y^2 = (3x)^2(4y)^2 = (3x4y)(3x4y) Algebra Science Anatomy & Physiology Astronomy AstrophysicsSimple and best practice solution for x^2y^2= 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 homework If it's not what You are looking for type in the equation solver your own equation and let us solve it Equation SOLVE Solution for x^2y^2= equation Simplifying x 2 y 2For 3xy=18, check (correct) solution x=2, y=3 3xy=18 @ x=2, y=3;
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2 x 2 y 2 x y then dy/dx
2 x 2 y 2 x y then dy/dx- You have x2 −y2 = (x y)(x −y) So in your case x2 − y2 x −y = (x y)(x − y) x − y = x y Answer link\end{document} mathmode typography braces Share Improve this question Follow edited Mar 25 '13 at 723 Hendrik Vogt 357k 6 6 gold badges 124 124 silver badges 6 6 bronze badges asked Mar 23 '13 at 2349 jub0bs jub0bs 551k
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Solve x^2 y^2 = 1 and x y = 1/2 Natural Language;Solution Steps y = x2 y = x − 2 Swap sides so that all variable terms are on the left hand side Swap sides so that all variable terms are on the left hand side x2=y x − 2 = y Add 2 to both sides Add 2 to both sidesX^3 x^2 y x y^2 y^3 Natural Language;
Factor x^2y^2 x2 − y2 x 2 y 2 Since both terms are perfect squares, factor using the difference of squares formula, a2 −b2 = (ab)(a−b) a 2 b 2 = ( a b) ( a b) where a = x a = x and b = y b = y 3,304 2 i think you dropped a sign somewhere, but i would go as follows x 2 y 2 = x 2 y 2 0 = x 2 y 2 ( (xy) (xy)) = x 2 xy xy y 2 but as I think Mark was pointing out, all the steps you took working from RHS to LHS are perfectlyStack Exchange network consists of 178 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
Direction Opens Right Vertex (0,2) ( 0, 2) Focus (1 4,2) ( 1 4, 2) Axis of Symmetry y = 2 y = 2 Directrix x = −1 4 x = 1 4 Select a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertexDerivative x^2(xy)^2 = x^2y^2 Natural Language;It seems to me that one should write {(xy)}^2 but I do see (xy)^2 a lot \documentclass{article} \begin{document} ${(xy)}^2$ or $(xy)^2$?
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Plot x^2 3y^2 z^2 = 1 Natural Language;Y = 4x/(x^25) a) Find dy/dx, writing your answer as a single fraction in its simplest form b) Hence find the set of values of x for which dy/dx < 0 a) We need to differentiate this equation using the quotient rule (Given that it is a fraction with an x term on both the top and bottom of the fraction) We assign the numerator and denominator as follows u = 4x, v = x^25, and so using theEquation 1) x 2 y 2 = 25 Equation 2) y 3x = 13 First you need to substitute a variable so there is only one unknown in the equation 2) y = 13 3x Substituting this into equation 1) gives x 2 (13 3x) 2 = 25Multiplying out the brackets x 2 169 78x 9x 2 = 25 Simplifying the equation 10x 2 78x 144 = 0 Dividing the entire equation by 2 5x 2 39x 72 = 0 Next find the
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Explanation For d dt d dt (ln(x2 y2)) = 1 x2 y2 d dt (x2 y2) = 1 x2 y2 ⋅ (2x dx dt 2y dy dt) For d dx d dx (ln(x2 y2)) = 1 x2 y2 d dx (x2 y2)We add all the numbers together, and all the variables X2/X3=0 We multiply all the terms by the denominator X*X3*X2=0 We add all the numbers together, and all the variables3XX*X2=0 Wy multiply elements X^23X2=0 a = 1;HINT it is y_{1,2}=\frac{x}{2}\pm\sqrt{\frac{1}{2}\frac{3}{4}x^2} and with that y we can compue z More Items Share Copy Copied to clipboard x^{2}yxy^{2}=13 All equations of the form ax^{2}bxc=0 can be solved using the quadratic formula \frac{b±\sqrt{b^{2}4ac}}{2a} The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction x^{2}yxy^{2
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Y = 2 ^ x take ln of both sides ln( y) = ln (2 ^ x) using the log rules we can bring the power of x down in front of the ln ln( y ) = x*ln(2) differentiate both sides wrt xExtended Keyboard Examples Upload Random Compute 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 expert Since y^2 = x − 2 is a relation (has more than 1 yvalue for each xvalue) and not a function (which has a maximum of 1 yvalue for each xvalue), we need to split it into 2 separate functions and graph them together So the first one will be y 1 = √(x − 2) and the second one is y 2 = −√(x − 2) When you graph these on the same axis, it will give the required result nimitz says
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I need to prove that the equation $x^2 y^2 = z^3$ has infinitely many solutions for positive $x, y$ and $z$ I got to as far as $4^3 = 8^2$ but that seems to be ofConsider x^ {2}y^ {2}xy22xy as a polynomial over variable x Find one factor of the form x^ {k}m, where x^ {k} divides the monomial with the highest power x^ {2} and m divides the constant factor y^ {2}y2 One such factor is xy1 Factor the polynomial by dividing it by this factorFor system of equations xy=8 and y=x2, check (correct) solution x=3, y=5 xy=8 and y=x2 @ x=3, y=5;
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Simplify (xy)^2 Rewrite as Expand using the FOIL Method Tap for more steps Apply the distributive property Apply the distributive property Apply the distributive property Simplify and combine like terms Tap for more steps Simplify each term Tap for more steps Multiply by Rewrite using the commutative property of multiplication Multiply by Multiply by Multiply byThe quadratic formula gives two solutions, one when ± is addition and one when it is subtraction x^ {2}2xy^ {2}2y=0 x 2 2 x y 2 2 y = 0 This equation is in standard form ax^ {2}bxc=0 Substitute 1 for a, 2 for b, and y\left (2y\right) for c in the quadratic formula, \frac {b±\sqrt {b^ {2 Re 2(xy)^2/2(xy)2 by RonPurewal Thu 710 am Whenever a problem starts out with a condition that's relatively easy to satisfy (eg, "If xy = 1"), the possibility of plugging numbers should always be a prime consideration
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Back to Algebra Calculator » About us Who we are;Δ = b 24ac Δ = 3 24·1·2 Δ = 1 The delta value is higher than zero, so the equation has two solutions We use following formulas to The factors are (xy)(xy) or (xy)^2 We need to factor the trinomial x^22xyy^2 The factors of x^2 = (x)(x) The factors of y^2 = (y)(y) Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same Since the first sign is negative both signs must be negative The factors are (xy)(xy) or (xy)^2 Check by FOIL Firsts (x)(x) = x^2 Outers (x
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2xy=2 Geometric figure Straight Line Slope = 4000/00 = 00 xintercept = 2/2 = 1 yintercept = 2/1 = 0000 Rearrange Rearrange the equation by subtracting what is to the By using Pythagoras you would end up with the equation given where the 4 is in fact r^2 To obtain the plot points manipulate the equation as below Given" "x^2y^2=r^2" ">" "x^2y^2 =4 Subtract x^2 from both sides giving " "y^2=4x^2 Take the square root of both sides " "y=sqrt(4x^2) Now write it as " "y=sqrt(4x^2) '~~~~~ Calculate and ContourPlotx^2 y^2 == 1, {x, 5, 5}, {y, 5, 5}, Axes > True, Frame > False, AxesLabel > {x, y} Share Improve this answer Follow answered Nov 29 '15 at 657 user9660 user9660 $\endgroup$ Add a comment 2 $\begingroup$ Taking Rahul's idea ContourPlot3Dx^2 y^2 == 1, {x, 2, 2}, {y, 2, 2}, {z, 2, 2} Share Improve this answer Follow answered Nov 29
Solutions To Implicit Differentiation Problems
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Consider a = x 2 and b = y 4 By AMGM we have Consider ( z 1) 2 ≥ 0 This leads to z z 2 1 ≥ − 1 2 Now take ( z − 1) 2 ≥ 0 This yields z z 2 1 ≤ 1 2 Therefore f is boundedAnswer (1 of 104) Exponentiation is not distributive over addition, it is only distributive over multiplication (xy)^2 = (x y)(x y) = x(x y) y(x y) = x^2 xy yx y^2, and from because xy = yx, it follows that the above expression equals x^2 xy xy y^2 = x^2 2xy y^2, whichTake the difference between 18 and 16 and the answer is 2 Now double whole number(4) found in step 1 and we get 8 and put it over the value of step 2 and we get 2/8 Step 1 gives us the whole number of our answer and the step 2 and 3 give us the fraction Fraction is 2/8 which means 025 Now add it to the whole number and the answer is 425
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Answer (1 of 10) Suppose f(x,y) = x^2 y^2 Let's look at the partial derivatives of this function \displaystyle\frac{\partial f}{\partial x}= 2x \displaystyle\frac{\partial f}{\partial y}= 2y So apparently, at each (x,y) coordinate pair (black dots below), the gradient of f(x,y) is pointin(x^2 2xy y^2)/(x^2 y^2) * (2x^2 xy y^2)/(x^2 xy 2y^2)Please feel free to Ask MathPapa if you run into problems Related Articles Algebra Calculator Tutorial;
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Simplifying x y = 2 Solving x y = 2 Solving for variable 'x' Move all terms containing x to the left, all other terms to the right Add '1y' to each side of the equation x y 1y = 2 1y Combine like terms y 1y = 0 x 0 = 2 1y x = 2 1y Simplifying x = 2 1y You can always share this solution See similar equations X^249=14x xy=5 2x^2=10X 25X16=0X = 2y^2, xy = 1Sketch the region enclosed by the given curves Decidewhether to integrate with respect to x or y Draw a typical approximatingrectangle andGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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Make x the subject of the second equation, so x=2y Substitute x=2y into x^2y^2=9, to give (2y)^2y^2=9 Expand the brackets using FOIL to give 44yy^2y^2=9 By grouping like terms together get 2y^24y5=0 Because the question asks for the answer in 2dp, you know to use the quadratic formula, so substitute into the given formula where a=2, b=4 and c=5 (dont forgetProduct How it works;Extended Keyboard Examples Upload Random Compute 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
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Answer (1 of 3) It's the equation of sphere The general equation of sphere looks like (xx_0)^2(yy_0)^2(zz_0)^2=a^2 Where (x_0,y_0,z_0) is the centre of the circle and a is the radious of the circle It's graph looks like Credits This 3D Graph is created @ code graphing calculator(xy)^2=(xy)(xy)=x{\color{#D61F06}{yx}} y=x{\color{#D61F06}{xy}}y=x^2 \times y^2\ _\square (x y) 2 = (x y) (x y) = x y x y = x x y y = x 2 × y 2 For noncommutative operators under some algebraic structure, it is not always true Let Q \mathbb Q Q be the set of quaternions, and let x = i, y = j ∈ Q x=i,y=j\in\mathbb Q x = i, y = j ∈ QExtended Keyboard Examples Upload Random Compute 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
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Stack Exchange network consists of 178 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 ExchangeAnswer (1 of 7) (xy)^2 is an algebraic expression Given two numbers (or possibly some other appropriate mathematical objects) represented by the variables x and y this expression represents the result of squaring the sum of these two mathematical objects If you are working inY = x^2, y = 2/(x^21)Sketch the region enclosed by the given curves Decidewhether to integrate with respect to x or y Draw a typical approximatingrectangl
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Divide 0 0 by 4 4 Multiply − 1 1 by 0 0 Add − 2 2 and 0 0 Substitute the values of a a, d d, and e e into the vertex form a ( x d) 2 e a ( x d) 2 e Set y y equal to the new right side Use the vertex form, y = a ( x − h) 2 k y = a ( x h) 2 k, to determine the values of a a, h h, and k kAnswer (1 of 13) The question might hv following perception to see it 1 As there are 2 variable values(viz x&y) but the single equation Thus giving infinite solutions, coz infinite number of values of x and y satisfy the equation 2 Mathematical term x^22xyy^2 =0 gives x^2xyxyy^2=0 wExtended Keyboard Examples Upload Random Compute 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
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Extended Keyboard Examples Upload Random Compute 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 expertlevelWeekly Subscription $249 USD per week until cancelled Monthly Subscription $799 USD per month until cancelled Annual Subscription $3499 USD per year until cancelledAdd 2 2 to both sides of the equation x = 2 x = 2 x = 2 x = 2 xintercept (s) in point form xintercept (s) ( 2, 0) ( 2, 0) xintercept (s) ( 2, 0) ( 2, 0) Find the yintercept Tap for more steps To find the yintercept (s), substitute in 0 0 for x x and solve for y y
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