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Solve 2xy/ X Y = 3/2 Xy/ 2x Y = 3/10 X Y ≠ 0 and 2x Y ≠ 0The area (in sq units) of the region bounded by x = 1, x = 2, y = x^2 1 and y = 2x 2 is Related Links The area (in squnits) of the part of the circle x 2 y 2 = 36, which is outside the parabola y 2 = 9x, is The area bounded between the parabolas x 2 = y/4 and x 2 = 9y and the straight line y = 2 is The area bounded by the curves y = x and y = x 3 is equal toQuestion Y=x^3 Y=0 X=1 About X=2 This problem has been solved!
Plug in into the first equation In other words, replace each with Notice we've eliminated the variables So we now have a simple equation with one unknown Notice if we graph the two equations, we can see that their intersection is at So this verifies our answerNow I know I need to take partial derivatives of certain terms of the equation, and call that M and N right?Question Please help me work out and graph y = 2x 1/x 1 I know that x cannot equal 1 but do not know where to go from here I have tried to subsitute other numbers for x to find the value of y but my grapgh looks very wrong I am getting very confused Thank you Tracy Answer by rmromero(3) (Show Source)
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X = 1 y However, after multiplication by µ(x,y) = 1/(xy3), we get x2y3 xy 3 x(1y2) xy dy dx = 0 Simplify x(y −3 y 1) dy dx = 0 Note that this becomes separable, so it is also exact Using the methods from this section, f(x,y) = Z M dx = 1 2 x2 g(y) and f y = g0(y) = N = y−3 y−1 Therefore, g(y) = Z y−3 1 y dy = − 1 2 y Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the axis Sketch the region and aWhen y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= xintercept = 6/1 = Calculate the Slope Slope is defined as the change in y divided by the change in x We note that for x=0, the value of y is 3000 and for x=00, the value of y is 4000



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About y = 1Find the volume of the solid obtained by rotating theregion bounded by the given curves about the specified line SPreAlgebra Graph y=1/2x^22x3 y = 1 2 x2 2x − 3 y = 1 2 x 2 2 x 3 Combine 1 2 1 2 and x2 x 2 y = x2 2 2x−3 y = x 2 2 2 x 3 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more stepsTrying to factor by splitting the middle term 21 Factoring 2x23x1 The first term is, 2x2 its coefficient is 2 The middle term is, 3x its coefficient is 3 The last term, "the constant", is 1 Step1 Multiply the coefficient of the first term by the constant 2 • 1 = 2 Step2 Find two factors of 2 whose sum equals the coefficient




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Two numbers r and s sum up to 2 exactly when the average of the two numbers is \frac{1}{2}*2 = 1 You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2BxCHere 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^Plot 3x^22xyy^2=1 WolframAlpha Assuming "plot" is a plotting function Use as referring to geometry



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Solution for y2x=0 equation Simplifying y 2x = 0 Reorder the terms 2x y = 0 Solving 2x y = 0 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 2x y 1y = 0 1y Combine like terms y 1y = 0 2x 0 = 0 1y 2x = 0 1y Remove the zeroY=x^3 Y=0 X=1 About X=2;Y=x3x212x No solutions found Rearrange Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation y(x^3x^212*x)=0



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Use the method of cylindrical shells to find the volumegenerated by rotating the region bounded by the given curvesabout the yaxis4 y − x 3, y − 0, x − 1,Same Equations Dependent System Infinite amount of solutions A consistent system has at least one solution An inconsistent system has no solutions An independent system has exactly one solution A dependent system has infinitely many solutionsdependent system Explanation From the given equation x2 y2 2x −3 = 0 perform completing the square method to determine if its a circle, ellipse, hyperbola There are 2 second degree terms so we are sure it is not parabola x2 y2 2x −3 = 0 x2 2x y2 =




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Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the axis Sketch the region and aSOLUTION y=x1 2xy=0 You can put this solution on YOUR website!Cancel the common factor Divide ( x − 3) ( x 1) ( x 3) ( x 1) by 1 1 Divide 0 0 by 2 2 If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0 Set the first factor equal to 0 0 and solve




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