Algebra Graph y=x^ (1/2) y = x1 2 y = x 1 2 Graph y = x1 2 y = x 1 2Contact Pro Premium Expert Support »Please be sure to answer the questionProvide details and share your research!

Surfaces Part 2
Y=x^2-1/2x
Y=x^2-1/2x-Graph y=x21 y = x 2 − 1 y = x 2 1 Find the absolute value vertex In this case, the vertex for y = x2−1 y = x 2 1 is (−2,−1) ( 2, 1) Tap for more steps To find the x x coordinate of the vertex, set the inside of the absolute value x 2 x 2 equal to 0 0 In this case, x 2 = 0 x 2 = 0 x 2 = 0Graph y=x^21 y = x2 − 1 y = x 2 1 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more steps Complete the square for x 2 − 1 x 2 1 Tap for more steps Use the form a x 2 b x c a



Quadratics
Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!Graph x^2y^2=1 x2 − y2 = −1 x 2 y 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 − x 2 y 2 = 1 x 2 y 2 = 1 Simplify each term in the equation in order to set the right side equal to 1 1 The standard form of anSteps for Solving Linear Equation y=2x1 y = 2 x − 1 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 2x1=y 2 x − 1 = y Add 1 to both sides Add 1 to both sides
Y = x^2, x = y ^2; How do you find the volume bounded by #y=x^2#, #x=y^2# revolved about the x=1?Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history
Divide 1, the coefficient of the x term, by 2 to get \frac{1}{2} Then add the square of \frac{1}{2} to both sides of the equation This step makes the left hand side of the equation a perfect squareDetermine whether the line y=2x1 is a tangent to the curve y=x^2Have a question about using WolframAlpha?




Quadratic Function




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Graph of y = x 2 The shape of this graph is a parabola Note that the parabola does not have a constant slope In fact, as x increases by 1 , starting with x = 0 , y increases by 1, 3, 5, 7,Simplify (xy)/(x^21)*(x1)/(x^2y^2) Simplify the denominator Tap for more steps Rewrite as Since both terms are perfect squares, factor using the difference of squares formula, where and Since both terms are perfect squares, factor using the difference of squares formula, where and Rewrite as x^22xy=0 This is a quadratic equation in variable x Don't be confused, I'm just pointing out that we will temporarily be thinking of y as a constant (a number) We would solve by factoring if we could, but we can't so we'll use the quadratic formula, which says that the solutions to 2x^2 bx c = 0 are x=(bsqrt(b^24ac))/(2a)



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Sin (x)cos (y)=05 2x−3y=1 cos (x^2)=y (x−3) (x3)=y^2 y=x^2 If you don't include an equals sign, it will assume you mean " =0 " It has not been well tested, so have fun with it, but don't trust it If it gives you problems, let me know Note it may take a few seconds to finish, because it has to do lots of calculationsIt function maps from the real numbers to the range (1,7/3 (1 to 7/3, excluding 1, including 7/3) This can be shown as follows Assume (x^2x2)/ (x^2x1) to beUnlock StepbyStep plot x^2y^2x Extended Keyboard Examples




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Y = x^2x dy/dx = 2x 1 For maxima or minima put dy/dx = 0 2x1 = 0 => x = 1/2 d2y/dx^2 = 2 , ve There exist minima at x = 1/2 Minimum value = (1/2)^2 (1/2Directional derivative of X^2 (y 2)^2 1 in direction (1, 1) at point (2, 3) series X^2 (y 2)^2 1;Area y=x^21, (0, 1) \square!




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Quadratic Function
Equation at the end of step 1 x 2 x 1 = 0 Step 2 Parabola, Finding the Vertex 21 Find the Vertex of y = x 2x1 Parabolas have a highest or a lowest point called the Vertex Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) Graph the parabola, y =x^21 by finding the turning point and using a table to find values for x and yConsider the triangle T ⊂ S with vertices (0,0), (1/2,1/2), (1/2,1) Thus, T is defined by the inequalities 0 < x < y < 2x < 1 For every (x,y) in T, xy > x2 and x2 y2 < 5x2 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′ = x21xy1




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Explanation Probably you can recognize it as the equation of a circle with radius r = 1 and center at the origin, (0,0) The general equation of the circle of radius r and center at (h,k) is (x −h)2 (y −k)2 = r2 Answer link Step 1 Draw up a table of values that can be used to construct the graph Step 2 Draw your yaxis as a vertical line and your xaxis as a horizontal line Mark the relevant points for the x and y values Draw freehand as best as you can a smooth curve that passes through those points Answer linkY = x^2, x = 1, y = 0;



1




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Graph y=x^21 (label the vertex and the axis of symmetry) and tell whether the parabola opens upward or downward y=x^21 This is a parabola that opens upwards with vertex at (0,1)Unlock StepbyStep plot x^2y^2x Extended Keyboard Examples1 2 3\pi e x^{\square} 0 \bold{=} Go Related » Graph » Number Line » Examples » Our online expert tutors can answer this problem Get stepbystep



Quadratics




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Start your free trial In partnership with You are being redirected to Course Hero I want to Explanation Renaming u = x2 1, we get y = ln(u) and now all we need is to apply the rule dy dx = 1 u (2x) = 2x x2 1 Answer link Thanks for contributing an answer to Mathematics Stack Exchange!




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Use the distributive property to multiply y by x 2 1 Add x to both sides Add x to both sides 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,Y=x^{2} en Related Symbolab blog posts High School Math Solutions – Quadratic Equations Calculator, Part 2 Weekly Subscription $199 USD per week until cancelled Monthly Subscription $699 USD per month until cancelled Annual Subscription $2999 USD per year until cancelled User Data MissingCalculus Applications of Definite Integrals Determining the Volume of a Solid of Revolution 1 Answer Eddie #= 29/30 pi# Explanation Consider the small element width dx as shown, being revolved around the line x = 1




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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historySolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreNormal of y=x^2x1, (2, 1) \square!



Graphing Linear Inequalities




Implicit Differentiation
For them we say that f ( x) = f ( y) Then we know what f does to them and we will get x 3 = y 3 Applying the thirdroot will give us x = y That means that f ( x) = x 3 is injective The same argument wont work with f ( x) = x 2 You have toY = x^2 1 => x^2 = y1 which is the equation of the parabola with vertex (0,1) and open upwards So the required area = integ(1 to 3) y dx = Integ(1 to 3)(x^21) dx = (x^3/3 x) (limit 1 to 3) = (27/3 3) (1/3 1) = 12 4/3 = 32/3 = 10 2Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more




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Graphing Quadratic Functions
Piece of cake Unlock StepbyStep y=x (x1) (x2) Extended Keyboard ExamplesGraph y=1/2x1 Rewrite in slopeintercept form Tap for more steps The slopeintercept form is , where is the slope and is the yintercept Reorder terms Use the slopeintercept form to find the slope and yintercept Tap for more steps Find the values of and using the formPiece of cake Unlock StepbyStep



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Complex Numbers
1 2 3\pi e x^{\square} 0 \bold{=} Go Related » Graph » Number Line » Examples » Our online expert tutors can answer this problem Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!1 2 3\pi e x^{\square} 0 \bold{=} Go Related » Graph » Number Line » Examples » Our online expert tutors can answer this problem Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!To find Range of function y = 1x2x Range is given by 'R' Say f (x) = y y = 1x2x y(1x2)= x y yx2 −x = 0




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Parabolas
2xy=1 Geometric figure Straight Line Slope = 2 xintercept = 1/2 = yintercept = 1/1 = Rearrange Rearrange the equation by subtracting what is to the right of theTake image convolution image of X^2 (y 2)^2 1;But avoid Asking for help, clarification, or responding to other answers




Level Surfaces



Y X 2 2
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1
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