Free Parabola calculator Calculate parabola foci, vertices, axis and directrix stepbystepGraph y=4(x2)^21 Find the properties of the given parabola Tap for more steps Use the vertex form, , to determine the values of , , and Since the value of is positive, the parabola opens up Opens Up Find the vertex Find , the distance from the vertex to the focus Tap for more stepsProfessionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge and
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Y=4 x^2 y=2-x x=-1 x=1-Jul 22, 18Expression #=x^4y^4# Recall the factorization of the difference of two squares #a^2b^2 = (ab)(ab)# In our example, we will use this factorization twice Note #x^4 =(x^2)^2 and y^4 =(y^2)^2 # Applying the factorization above Expression #= (x^2y^2)(x^2y^2)# Now, the second factor above is also the difference of two squaresY4=2 (x1) Simple and best practice solution for y4=2 (x1) 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
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X 2 and x 2 y 2 <Answer to Find the area of the region bounded by y = (x 2)^2, \\ y=4 x^2, \\ x= 1, \\text{ and } x=4 By signing up, you'll get thousands of1 For every (x, y) in T, x y >
About x = 1Find the volume of the solid obtained by rotating theregion bounded by the given curves about the specified line Sketchthe reJul 02, 16Consider the small element width dx as shown, being revolved around the line x = 1 The cross sectional area (csa) of the washer of width dx is the csa of the outer circle minus the csa of the inner ie #dA = pi (1 x dx)^2 pi (1 x)^2# simplify the algebra with #u = 1 x# so we have #dA = pi ((udx)^2 u^2) = pi (2u dx dx^2)#The vertex for this parabola is \displaystyle{\left({1},{1}\right)} Explanation This is an equation for a parabola \displaystyle{y}={3}{\left({x}{1}\right)}^{{2
Free PreAlgebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators stepbystepConsider the following 1/x 1/y = 4 (a) Find y' by implicit differentiation y' = y^2/x^2 (b) Solve the equation explicitly for y and differentiate to get y' in terms of x y' = (c) Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a) y' =Answer to find the given limit lim ((x^21)(y^24))/((x1)(y2) (x,y)>(1,2)
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Solve x^2 y^2 = 1 for x;Knowledgebase, relied on by millions of students &Here y=2x/(1x^2) Make sense So multiply both side by (1x^2) a quadritic equation will form in which cofficent of x^2 will be y and that of x will be 2 And constant will be 2 For x to be real D greater than or equal to zero So D=2^2–4y^2≥0 now Y^
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8 Be careful in that our power series is now based at x 0 = 1 instead of x 0 = 0 xy00 y0 xy = x X1 n=2 n(n 1)a n(x 1)n 2 X1 n=1 na n(x 1)n 1 x X1 n=0 a n(x 1)n The problem is that we cannot incorporate x into a series with an (x 1) expansionSOLUTION 13 Begin with x 2 xy y 2 = 1 Differentiate both sides of the equation, getting D ( x 2 xy y 2) = D ( 1 ) , 2x ( xy' (1)y) 2 y y' = 0 , so that (Now solve for y' ) xy' 2 y y' = 2x y, (Factor out y' ) y' x 2y = 2 x y, and the first derivative asAnswer to Determine fx when f(x, y) = (x^2 y)(2y^2 x) 1 fx = 2y 2xy^2 3x^2 2 fx = y 4xy^2 3x^2 3 fx = 4xy^2 y 3x^2 4 fx =
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Tangent plane to (x^2 x y y^2) 1 at (x,y)=(1,2) SymmetricReduction((x^2 x y y^2) 1, {x^21, x}) (x^2 x y y^2) 1 >4x 2y = 28 * x=3 y=10 x=4 y=5 x=3 y=8 x=5 y=8 x 3y =12 ;Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor
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Factorization is (x 2 y 2) • (x 2 y 2) Trying to factor as a Difference of Squares 22 Factoring x 2 y 2 Check x 2 is the square of x 1 Check y 2 is the square of y 1 Factorization is (x y) • (x y) Trying to factor by splitting the middle term 23 Factoring x 2 2x 1Thus, T is defined by the inequalities 0 <Aug 16, 11y=2x y=2x y=x2 xy=1 y=1x y=x1 Now to find the intersection of these two You could graph it or substitute the y for the other equation, then use the answer to solve for the other Lets replace the Ys y=x1 ;
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Professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge andSimplify y=4\\cdot(x1)(x1)5 y=4\\cdot(x^22x1)5 y=4x^28x45 y=4x^28x9 This is Standard form(x^2y^2)*(xy)*(xy) (x^2y^2)*(xy)*(xy) See steps Changes made to your input should not affect the solution (1) y4 was replaced by y^4 1 more similar replacement(s) Step 1 x 2 is the square of x 1 Check y 2 is the square of y 1 Factorization is (x y) • (x y) Final result
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Graph x^2y^2=1 Find the standard form of the hyperbola Tap for more steps Flip the sign on each term of the equation so the term on the right side is positive Simplify each term in the equation in order to set the right side equal to The standard form of an ellipse or hyperbola requires the right side of the equation beManipulate c in (x^2 x y y^2) 1 = c;Simple and best practice solution for 2(2xy)=2(xy)4 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
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Have a question about using WolframAlpha?Compute answers using Wolfram's breakthrough technology &((x4) (y^21)) dx (y (x^23x2)) dy=0 y(x^2 3x 2)dy = (x 4)(y^2 1)dx y/(y^2 1) dy = (x 4)/(x^2 3x 2) dx ∫y/(y^2 1) dy = ∫(x 4)/(x^2 3x
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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 HINT it is y 1 , 2 = − 2 x ±Eliminate((x^2 y^2) 1=0, ((x 2)^2 (y 1)^2) 4=0, y) how many grains of sugar can fit into a pill capsule?Knowledgebase, relied on by millions of students &
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Solve by Substitution // Solve equation 2 for the variable y 2 y = 2x 1 // Plug this in for variable y in equation 1 1 (2x1) 4x = 3 1 2x = 4 // Solve equation 1 for the variable x 1 2x = 4 1 x = 2 // By now we know this much y = 2x1 x = 2Step by step solution of a set of 2, 3 or 4 Linear Equations using the Substitution Method y=2x4;y=x1 Tiger Algebra SolverFeb 28, 16See the explanantion This is the equation of a circle with its centre at the origin Think of the axis as the sides of a triangle with the Hypotenuse being the line from the centre to the point on the circle 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 >
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Graph y=2(x1)^24 Find the properties of the given parabola Tap for more steps Use the vertex form, , to determine the values of , , and Since the value of is positive, the parabola opens up Opens Up Find the vertex Find , the distance from the vertex to the focus Tap for more stepsMar , 12/3 cubic units The area we seek lies between the two curves First we need to find the points of intersection between these 4x^2=2x1 x^22x3=0 (x1)(x3)=0=>x=3 and x=1 Interval 3,1 Testing a value in this interval with our two functions, say x=0 4(0)^2=4 2(0)1=1 So, 4x^2 attains greater values and is therefore above 2x1 in this interval We can therefore findResultant((x^2 y^2) 1, ((x 2)^2 (y 1)^2) 4, x) solve (x 2)^2 (y 1)^2 = 4 for x
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Graph y4=1/4*(x1)^2 Solve for Tap for more steps Simplify Tap for more steps Rewrite 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 terms5 x 2 Show that all solutions of y'= \frac{xy1}{x^21} are of the form y=xC\sqrt {1x^2} without solving the ODE Show that all solutions of y {8 x 2 y = 4 6 7 x 3 y = 4 7X^45x^24=0 \sqrt{x1}x=7 \left3x1\right=4 \log _2(x1)=\log _3(27) 3^x=9^{x5} equationcalculator y=2x4 en Related Symbolab blog posts Middle School Math Solutions – Equation Calculator Welcome to our new Getting Started math solutions series Over the next few weeks, we'll be showing how Symbolab
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We know that $(x2y)(x2y)=4$ and that $(x2y)(x2y)=x^24y^2$ Thus, Quantity A MUST be equal to $4$, which is less than Quantity B The correct answer is B, Quantity B is greater What Did We Learn Coincidental mathematical relationshipsSimple and best practice solution for y4=2 (x1) 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 itProfessionals For math, science, nutrition, history
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Click here👆to get an answer to your question ️ Find the area of the region bounded by the curve y^2 = x and the lines x = 1, x = 4 and the x axis2 y = 3x 3 y = x 1 3 y 2x = 1 2y 4x = 1 Solve by graphing 1 y = x 2 y=*1 Solve by substitution 4 5x 3y = 12 x 2y = 8 5 x 4y = 22 2x 5y = 21 6 y 5x = 3 3ySubtract ( y − 4) 2 from 1 6 \left (x1\right)^ {2}=y\left (8y\right) ( x − 1) 2 = y ( 8 − y) Take the square root of both sides of the equation Take the square root of both sides of the equation x1=\sqrt {y\left (8y\right)} x1=\sqrt {y\left (8y\right)} x − 1 = y ( 8 − y) x − 1 = − y ( 8 − y)
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