Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the axis Sketch the rExample 2 if x = 10 and y is 4 (10 4) 2 = 10 2 2·10·4 4 2 = 100 80 16 = 36 The opposite is also true 25 a 4a 2 = 5 2 2·2·5 (2a) 2 = (5 2a) 2 Consequences of the above formulas X&Y Directed by Anna Odell With Anna Odell, Mikael Persbrandt, Trine Dyrholm, Vera Vitali An artist has chosen a famous male actor for them together to deconstruct themselves and their invading roles They engage in a boundless play with their surroundings in an exploration of identity, male and female
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Answer (1 of 103) If you want to make it work let's make it work We'll have to make ourselves a new algebraic structure to do so, but it's a small price for the Freshman's dream to come true As Wikipedia nicely states, A ring is a set R equipped with binary operations and satisfyingMath Input NEW Use textbook math notation to enter your math Try itDivide y, the coefficient of the x term, by 2 to get \frac{y}{2} Then add the square of \frac{y}{2} to both sides of the equation This step makes the left hand side of the equation a perfect square
About x = 1Find the volume of the solid obtained by rotating theregion bounded by the given curves about the specified line Sketchthe reExtended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutritionCircle on a Graph Let us put a circle of radius 5 on a graph Now let's work out exactly where all the points are We make a rightangled triangle And then use Pythagoras x 2 y 2 = 5 2 There are an infinite number of those points, here are some examples
XY, released in the US as A Brilliant Young Mind, is a 14 British drama film directed by Morgan Matthews and starring Asa Butterfield, Rafe Spall and Sally Hawkins 2 3 The film, inspired by the documentary Beautiful Young Minds , 4 focuses on a teenage English mathematics prodigy named Nathan (Asa Butterfield) who has difficulty understanding people, but finds comfort in numbersStep 2 The "PointSlope Formula" Now put that slope and one point into the "PointSlope Formula" Start with the "pointslope" formula ( x1 and y1 are the coordinates of a point on the line) y − y1 = m (x − x1) We can choose any point on the line X/Y Directed by Ryan Piers Williams With Ryan Piers Williams, America Ferrera, Jon Paul Phillips, David Harbour A look at the lives and interactions of
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x^2−2xyy^2=0 and xy=9 (y)(3) A The quantity in Column A is greater B The quantity in Column B is greater C The two quantities are equal D The relationship cannot be determined from the information given Official answer says DSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreX = "salil" y = "Ajay" temp = (x, y) # evaluates to ("salil", "Ajay") y = temp 0 x = temp 1 Note that you can think of these two operations take place separately First the tuple is formed and evaluated, then the tuple is unpacked back into the variables The net effect is that the values of your two variables are interchanged
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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 The original question from Anuja asked how to draw y 2 = x − 4 In this case, we don't have a simple y with an x 2 term like all of the above examples Now we have a situation where the parabola is rotated Let's go through the steps, starting with a basic rotated parabola Example 6 y 2 = x The curve y 2 = x represents a parabola rotatedSearch the world's information, including webpages, images, videos and more Google has many special features to help you find exactly what you're looking for
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Answer (1 of 15) x^2y^2=0 x^2=y^2 x=\sqrt{y^2} x=\sqrt{y^2} This is the equation of a straight line x=y and x=y Or the equivalent form y=x and y=xExponential functions with bases 2 and 1/2 The exponential function is a mathematical function denoted by f ( x ) = exp ( x ) {\displaystyle f (x)=\exp (x)} or e x {\displaystyle e^ {x}} (where the argument x is written as an exponent ) It can be defined in several equivalent waysSin 2 (x) cos 2 (x) = 1 tan 2 (x) 1 = sec 2 (x) cot 2 (x) 1 = csc 2 (x) sin(x y) = sin x cos y cos x sin y cos(x y) = cos x cosy sin x sin y
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The function (,) or (,) (from "2argument arctangent") is defined as the angle in the Euclidean plane, given in radians, between the positive x axis and the ray to the point (x, y) ≠ (0, 0) The function (,) first appeared in the programming language Fortran (in IBM's implementation FORTRANIV in 1961) It was originally intended to return a correct and unambiguous value forY = x^2, x = y ^2;Xy' 2y = x^2
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4px = y ^2 Parabola 4py = x ^2 Hyperbola y ^2 / a ^2 x ^2 / b ^2 = 1 For any of the above with a center at (j, k) instead of (0,0), replace each x term with (xj) and each y term with (yk) to get the desired equationFind the solution of the differential equation that satisfies the given initial conditionxy' y = y^2, y(1) = 1X 3 = ( y − 2) × ( y − − 2) the greatest common divisor of these factors will divide 2times the − 2 , which is lead to only finitly many cases (some cases can be shown impossible, only by the modular an congrunce arithmetic) finally we have y − 2 = ( a b − 2) 3 which lead us to the system of equations as follows
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X^2 2 y^2 = 1 Natural Language;Simplify (xy)(x^2xyy^2) Expand by multiplying each term in the first expression by each term in the second expression Simplify terms Tap for more steps Simplify each term Tap for more steps Multiply by by adding the exponents Tap for more steps Multiply byThis gives a practical test for convexity Visually, a twice differentiable convex function "curves up", without any bends the other way (inflection points)
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Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyConsider 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 factor
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See 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" ">"Factor (xy)^2 (xy)^2 (x y)2 − (x − y)2 ( x y) 2 ( x 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 y a = x y and b = x−y b = x yIf x \geq y > 0, then x^{2} \geq yx \geq y^{2};
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And yet another way to do it, if you want to use the (a b) 2 formula (x y) 2 = (x) y 2 = (x) 2 2(x)(y) (y) 2 = x 2 2xy y 2 Upvote • 1 Downvote 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 negativeStack 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
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X = 1 y^2, x = y^2 1Sketch the region enclosed by the given curves Decidewhether to integrate with respect to x or y Draw a typical approximatingrectangI'm going to make an educated guess and say that what you want is ∫ R 2 e − x 2 − y 2 d x d y It should be clear that this is a number and not a function To find the value of this integral you can make the usual substitution in polar coordinates to get ∫Set y y equal to the new right side y = − x 2 y = x 2 y = − x 2 y = x 2 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 k a = − 1 a = 1 h = 0 h = 0 k = 0 k = 0 Since the value of a a is negative, the parabola opens down Opens Down
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