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3 4 2 0 3 2 0 V 2πradius shellheightdx 2π(3 x)x dx 2π (3 x x) dx 5 56 5 28 0 2 5 32 2 12 4 5 3 2 2 0 5 π 4 π π = π − = = − = − x x We could also find this volume using the washer method First the function needs to be rewritten in terms of y x = f(y) = y1/3, 0 ≤ y ≤ 8 The washer has an outer radius of R = 3 − y1/3 (asAt any point (x, y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (4, 3) Find the equation of the curve given that it passes through ( Facebook Whatsapp Transcript Ex 63, 11 Solve the following system of inequalities graphically 2x y ≥ 4, x y ≤ 3, 2x – 3y ≤ 6 First we solve 2x y ≥ 4 Lets first draw graph of 2x y = 4 Putting x = 0 in (1) 2 (0) y = 4 0 y = 4 y = 4 Putting y = 0 in (1) 2x (0) = 4 2x = 4 x = 4/2 x = 2 Points to be plotted are (0, 4), (2

Solve The Following Differential Equation 1 1 3 Y X Dy Dx Y 3 X 1 2 Ln X Y X Dx Ln X Dy 3 X 2 Y 2 Y 4sin X Dx 2xy 4y 3cos X Dy 4 Tan X 8sin X Sin Y Dx 8cos X Cos Y Dy 0 5 1 Y 2sin 2x Dx Ycos 2x Dy 0 Wegglab

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Y=x^2-2x 4 y=3 x=-1-So we have A = 1 4 Thus a particular solution is y p = 1 4 xe x, and so the general solution is y = y c y p = C 1ex C 2e 3x 1 4 xex 10 y00 4y0 4y0= e2x Sol The characteristic equation m2 4m 4 = (m 2)2 = 0 has a root m = 2 with multiplicity 2 The complementary solution isThe fact that some of the coeffi­ cients are functions of x should not slow us down Applying the quadratic formula we get y = ex ± (−ex)2 − 4 1 (−ex) 2 1 ex± √ 2 4 y = 2

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Answer (1 of 11) x^2y^22x=0 Complete the square x^22xy^2=0 x^22x11y^2=0 (x^22x1)y^2=1 (x1)^2y^2=1 This is a circle with its center at (1,0) and aMath Input NEW Use textbook math notation to enter your math Try it\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 High School Math Solutions – Quadratic Equations Calculator, Part 1 A quadratic equation is a second degree polynomial having the general form ax^2 bx c = 0, where a, b, and c

(Factor out y' ) 1 y 3x 2 4x = (3y 2 x 2) y' , and Click HERE to return to the list of problems SOLUTION 9 Begin with Clear the fractions by multiplying both sides of the equation by x 3 y 3, getting , , y 4 x 4 = x 5 y 7 Now differentiate both sides of the equation, getting1) is a critical point The second derivative test f xx = 2;f yy = 2;f xy = 0 shows this a local minimum withFind the general solution y' 1/x y = 7/x^2 3 xy' (1 2x^2)y = x^3 e^x^2 y' (tan x)y = cos x (x 2)(x 1) y' (4x 3) y = (x 2)^3 y' (2 sin x cos x)y = e^sin^2 x y' 4/x 1 y = 1/(x 1)^5 sin x/(x 1)^4 xy' 2y = 2x^3 1 (1 x)y' 2y = sin x/1 x x^2 y' 3xy = e^x Solve the initial value problem y' 7y

Now, y = x± q x2 −4(x2 −7) 2 = x± √ 28−3x2 2 Take the positive root since y(1) = 3 The restriction on x would be that 28−3x2 ≥ 0 Therefore, − s 28 3 < x < s 28 3 5 Problem 15 (xy2 bx2y)dx(xy)x2 dy = 0 First, for this to be exactAxis of Symmetry x = −1 x = 1 Directrix y = 1 4 y = 1 4 Select a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with − 2 2 in the expression f ( − 2) = − ( − 2) 2 − 2 ⋅ − 2 − 1 fGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!

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Extended Keyboard Examples Upload Random Compute 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, musicLn y 2 = ln(y 1) x eln y 2 = eln(y1) ex y 2 = (y 1) e x y 2 − e x y − e x = 0 This is a second degree polynomial in y;View Completar (1)docx from ACCT 06 at Loyola University New Orleans 1) y = (x 2) (2x 3) y = (1) (2x3) (x2) (2) y = 2x32x4 = 4x7 2) ( 2t 1 )3 f (t

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Example 5 X and Y are jointly continuous with joint pdf f(x,y) = (e−(xy) if 0 ≤ x, 0 ≤ y 0, otherwise Let Z = X/Y Find the pdf of Z The first thing we do is draw a picture of the support set (which in this case is the firstSolución simple y rápida para la ecuación 3(2x1)4(2x)=x Nuestra respuesta es comprensible y explicada paso a paso Si no es lo que está buscando, escriba sus propios datosРешить уравнение 2x dy (x 2 y 4 1)y dx = 0 124 Решить уравнение y dx x(2xy 1)dy = 0 125 Решить уравнение 2y' x = 4 sqrt(y) y' = y 2 2/x 2 127 Решить уравнение 2xy' y = y 2 sqrt(x x 2 y 2) 128 Решить уравнение 2/3 xyy' = sqrt(x 6 y 4

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We get their width by subtracting the xcoordinate of the edge on the left curve from the xcoordinate of the edge onAnswer (1 of 5) Eqn of xaxis is y=0(1) y=x^22x(2) By solving eqn (1) and (2) x=0 , 2 and y=0 Thus the point of intersection ofFigure 3 The 2area between x = y and y = x − 2 and one horizontal rectangle The height of these rectangles is dy;

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It means a function x of x1x*(x1) is rightUse the ^ (caret) for exponentiation x^2 means x squared x/2y means Resources Simplifier Portal, help with entering simplifier formulas (a must read)Y^2 = x^32x^2 Natural Language; The solutions of the graphed system of equations, y = x² 2x – 3 and y = x – 1 are B (–2, –3) and (1, 0) Further explanation Discriminant of quadratic equation ( ax² bx c = 0 ) could be calculated by using D = b² 4 a c From the value of Discriminant , we know how many solutions the equation has by condition

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Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!Step 1 Finding the Vertex Step 2 Finding two points to left of axis of symmetry Step 3 Reflecting two points to get points right of axis of symmetry Step 4 Plotting the Points (with table) Step 5 Graphing the Parabola In order to graph , we can follow the steps Step 1) Find the vertex (the vertex is the either the highest or lowestWe designate (3, 5) as (x 2, y 2) and (4, 2) as (x 1, y 1) Substituting into Equation (1) yields Note that we get the same result if we subsitute 4 and 2 for x 2 and y 2 and 3 and 5 for x 1 and y 1 Lines with various slopes are shown in Figure 78 below

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Here we will look at solving a special class of Differential Equations called First Order Linear Differential Equations First Order They are "First Order" when there is only dy dx, not d 2 y dx 2 or d 3 y dx 3 etc Linear A first order differential equation is linear when it can be made to look like this dy dx P(x)y = Q(x) Where P(x) and Q(x) are functions of x To solve it there is a Solve the following systems of equations 3/(xy) 2/(xy) =2 9/(xy) 4/(xy) =1 Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queriesAlgebra Calculator is a calculator that gives stepbystep help on algebra problems See More Examples » x3=5 1/3 1/4 y=x^21 Disclaimer This calculator is not perfect Please use at your own risk, and please alert us if something isn't working Thank you

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Graph y=1/2x4 y = 1 2 x 4 y = 1 2 x 4 Rewrite in slopeintercept form Tap for more steps The slopeintercept form is y = m x b y = m x b, where m m is the slope and b b is the yintercept y = m x b y = m x b Reorder terms y = 1 2 xSOLUTION 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 as aChapter 2 21 Functions definition, notation A function is a rule (correspondence) that assigns to each element x of one set , say X, one and only one element y of another set, Y The set X is called the domain of the function and the set of all elements of the set Y that are associated with some element of the set X is called the range of the function

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You must use the "*" (star) symbol for all multiplications!x(x1) is WRONG!Systemofequationscalculator x2y=2x5, xy=3 es Related Symbolab blog posts High School Math Solutions – Systems of Equations Calculator, Elimination A system of equations is a collection of two or more equations with the same set of variables In this blog post, Solve the following systems of equations 2/√x 3/√y = 2 4/√x 9/√y = 1 asked Apr 26 in Linear Equations by Haifa ( 521k points) pair of linear equations in two variables

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Swap sides so that all variable terms are on the left hand side x^ {2}2x=y3 Subtract 3 from both sides x^ {2}2x1^ {2}=y31^ {2} Divide 2, the coefficient of the x term, by 2 to get 1 Then add the square of 1 to both sides of the equation This step makes the left hand side ofThe derivative of y with respect to x is equal to y cosine of x divided by 1 plus 2y squared, and they give us an initial condition that y of 0 is equal to 1 Or when x is equal to 0, y is equal to 1 And I know we did a couple already, but another way to think about separable differential equations is really, all you're doing is implicitFirst type the equation 2x3=15 Then type the @ symbol Then type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is right More Examples

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Y=3/2x2;y=1/2x2 Simple and best practice solution for y=3/2x2;y=1/2x2 Check how easy it is, to solve this system of equations 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 homeworkSolve 2xy/ X Y = 3/2 Xy/ 2x Y = 3/10 X Y ≠ 0 and 2x Y ≠ 0 CISCE ICSE Class 9 Question Papers 10 Textbook Solutions Important Solutions 6 Question Bank Solutions 145 Concept Notes & Videos 431 Syllabus Advertisement Remove all ads Solve 2xy/ X Y = 3/2 Xy/ 2x Y = 3/10 X Y ≠ 0 and 2x Y ≠ 0Subject to the constraint 2x2 (y 1)2 18 Solution We check for the critical points in the interior f x = 2x;f y = 2(y1) =)(0;

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C) 2x2 – x 4xy – 2y d) am m a 1 e) x3 xy2 ax2 ay2 f) a3x a3y – a2x – a2y g) y 12 – y 8 y 4 – 1 h) a 3 10a 2 2a i) a 2 b b – 9a 2 – 9 j) 6an n 12a 2 k) 3x – 3 2 a 2 ax − l) pn 4 1 p 4 1 mn 5 2 m 5 2 7) Fatore x3Y=x1;y=2x3 Simple and best practice solution for y=x1;y=2x3 Check how easy it is, to solve this system of equations 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 system of equations solver your own 1)f (x)=f (x), in this case y is even 2)f (x)=f (x), in this one it is odd so f ( −x) = ( −x)4 1 ( −x)3 − 2( −x) = x4 1 −x3 2x = − x4 1 x3 −2x Therefore f (

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Y=3/2x8 Geometric figure Straight Line Slope = 3000/00 = 1500 xintercept = 16/3 = yintercept = 16/2 = 8 Rearrange Rearrange the equation by subtracting what is to More Items Share4x3 (2x1)=4 (x2)1 \square!4 SECTION 21 VERTICAL AND HORIZONTAL ASYMPTOTES Example 3 Find the vertical and horizontal asymptotes of the graph of f(x) = x2 2x 2 x 1 Solution The vertical asymptotes will occur at those values of x for which the denominator

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 Ex 32, 12 Given 3 8(x&y@z&w) = 8(x&6@−1&2w) 8(4&xy@zw&3) find the values of x, y, z and w 3 8(x&y@z&w) = 8(x&6@−1&2w) 8(4&xy@zw&3) 8Advanced Math questions and answers;

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