Kamil Założenia x 2 − y 2 różne od zera Stąd x różne o y i różna od −y Dziękuję bardzoN) y = (x 4) 2 1 przesuwam wykres funkcji y = x 2 o 4 jednostki w lewo wzdłuż osi x i o 1 jednostkę w dół wzdłuż osi y x 2 1 0 1 2 y = x 2 4 1 1 1 4 2) Podaj współrzędne wierzchołka paraboli, będącej wykresem funkcji f, jeśliAnswer 6 x3 7 x2 y 12 x y2 5 y3 Apply Multiplicative Distribution Law 2 x 3 x2 2 x y 5 y2 y 3 x2 2 x y 5 y2Apply Multipli

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X+y=-2 x^2+y^2=100
X+y=-2 x^2+y^2=100-Find the absolute maximum and minimum values of f(x, y) = 2 2x 2y – x 2 – y 2 on triangular plate in the first quadrant, bounded by the lines x = 0, y = 0 and y = 9 – xDany jest okrąg o równaniu x^2 4x y^2 5 = 0 daniel Dany jest okrąg o równaniu x 2 − 4x y 2 − 5 = 0 i punkt P = (5,4) Napisz równanie okręgu o środku w punkcie P i




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The main integral I = ∫ x2 − y2 (x2 y2)2 dx can be solved using a tan substitution x = ytanθ dx = ysec2θdθ So that I = ∫y2(tan2θ − 1) y4sec4θ ysec2θdθ = 1 y∫tan2θ − 1 sec2θ dθ = 1 y∫sin2θ − cos2θdθ = − 1 y∫cos2θdθ = − 1 y1 2sin2θ h(y) = − 1 2y 2tanθ 1 tan2θ h(y) = − 1 2y 2(y / x) 1 (yAprende en línea a resolver problemas de ecuaciones diferenciales paso a paso Resolver la ecuación diferencial dy/dx3*x^2*y=x^2 Agrupar los términos de la ecuación diferencial Mover los términos de la variable y al lado izquierdo, y los términos de la variable x del lado derecho de la igualdad Simplificar la expresión \frac{x^2}{x^2}dxPigor , a po kolei np tak w zbiorze punktów (par) (x,y)=?
With multiplying factor x^ay^b in equation and finding a and b the integrating factor is \mu=\color {blue} {\dfrac {y} {x}} Alternative method Drop a x of equation, then \left (2x \frac {1} {y^ 2}\right)dx \left (\frac {x^2} {y}\frac {x} {y^3}\right)dy = 0Płaszczyzny ograniczają obszar całkowania, który możemy zapisać tak \V=\{(x,y,z)\in \mathbb{R}^3 z\ge0,\ z\le x^2y^22,\ x^2y^2\le 4 \}\ Czyli mamy doSubresultants(x^2 y^2, y^21, y) groebner basis({x^2 y^2, y^2 x^2}, {x, y}) div {x^2 y^2, y^2 x^2}
Answer 2 x y x y Rewrite the term 2 x2 x y 2 x y y2Regroup terms into two proportional parts 2 x2 x y 2 Solve the system of equations by using the method of cross multiplication 5/xy 2/x− y 1 = 0, 15/xy 7/x− y – 10 = 0 asked Jun 23 in Linear Equations by Hailley (334k points) linear equations in two variables;Suppose the curves are x = y2 and x = 4 y2 and and you want to find points on the two curves with the same yvalue Then substitute y 2 from the first equation into the second to obtain x = 4 x So to achieve the same yvalue the xvalue on the second curve must be (minus) 4 times the xvalue on the first curve x = 4y2 and x = y2




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Subtract x^ {2} from both sides of the equation Subtracting x^ {2} from itself leaves 0 Divide x, the coefficient of the x term, by 2 to get \frac {x} {2} Then add the square of \frac {x} {2} to both sides of the equation This step makes the left hand side of the equation a perfect square Square \frac {xRearrange like terms to the same side of the equation \begin{equation}\begin{cases} y = 7 2 x\\y^{2} x (x y) = 11\end{cases}\end{equation} Divide both sides of the equation by the coefficient of variable \begin{equation}\begin{cases}y = 7 2 x\\y^{2} x (x y) = 11\end{cases}\end{equation} Substitute one unknown quantity into the elimination ( 7 2 x)^{2} x (x 7 2 xRozwiązać całkę ∫∫ydxdy w podanym regionie D={(x,y)∈R^2 x≥1, x^2 y^2 ≤2} Michał Rozwiązać całkę ∫∫ydxdy w podanym regionie D={(x,y)∈R 2x≥1, x 2 y 2 ≤2} Mój pomysł na zadanie jest to zamiana na współrzędne biegunowe D = { 1




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So take our first equation xy =2, and subtract x from both sides, like this y = 2x, now from here we take that expression for y and subsitute it into our second equation So out second equation x^2 2y = 12, becomes x^2 2(2x) = 12, expanding out the brackets we get x^2 2x 4 = 12, and take away 12 from both sides which will give us x^2 2 8 = 0Y= s 1 Cex2 1 Gdy xy0 y = y2 ln x, to stosujemy podstawienie zy = 1, a więc z0 = −y0 y2 Po wykonaniu podstawienia dostajemy równanie liniowe niejednorodne −xz0z= ln x takie, że całką ogólną jego części jednorodnej z= xz0 jest funkcja z(x) = Cx Stosujemy metodę uzmienniania stałej, kładąc z= C(x)x, a następnie wyliczamy z0= C0x C Skoro Z ln x x2 dx= ln x −x Z dx x2Compute 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




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