Use the equations to find dz/əx and əz/əy. x2 + 4y2 + 9z? = 1 əz ax əz ду II

Q: Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation…

A: Given x=t2 and y=2+5t

Q: Solve the pollowing: り ( 2+J(xtjy) X=? ye! (b) (2+j)(3-j2) = a+jb a:? b:? (C) (メ-j2y) -(y-jx)-2j x=?…

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Q: Find d?y/da? without eliminating the parameter. A) t2 + 8t, y = t2 2t, t + -8 2 B) 10 1 (t + 8)3 t -…

A: This question is related to differentiation, We will solve it using given information.

Q: Parameterize the intersection of z = - Vx² + 7y² _and x² + y? + z? = 200

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Q: Find the equations in the symmetrical form on the line perpendicular to the lines and passing…

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Q: y = , x = 1, x = 4, and y = 0 is revolved about the y – axis. (Answer: 247 c. u.

A: Recall: Shell Method  V=2π∫abr(y)h(y)dy We have, r(y)=y, h(y)=4y, a=1, b=4

Q: Find all a, b, c E R that satisfy both equations: a +b+c=63 ab + bc + ac = 2021 |3D

A: The given equations are a+b+c=63  and ab+bc+ac=2021. The objective is to find the real values of a,…

Q: Use the equations to find dz/ðx and əz/ðy. x2 + 8y? + 9z2 = 1 Əz ax az ду II II

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Q: 1. classify he following equations and White The name of the equahichs 11 (ii) (iv) – Əv at xe (M -l…

A: "Since you have posted a question with multisubparts, we will solve first three parts for you. To…

Q: stem of equations 2y – z+ 3w =1 I+ 2y – 3z = 7 -+y+z+2w = -4 -

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Q: Solve the two simultaneous equations to show how Q and P depend on u and v.

A: From given data we have; Demand:            Qd=β0+β1P+u ,Supply:            Qs=γ0+vMean:…

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 5u − 2x = 3v + w

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Q: Q6 Which equation represents the line that passes through the point (3,4) and is paralel to the…

A: The equation of x-axis is written as y=0. The line with the slope-intercept form y=mx+c has m as its…

Q: Q3/ Assuming that Ø = x?y2 + y² z²+x²z? find AØ At the point (1, -3, 1) And what is a vehicle AØ ?…

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Q: Write the equation with rectangular coordina r = 6cose O x?-y? = 6x %3D O x2+y? = 6x %3D O x²+y² =…

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Q: Solve the equation: u a uxx 0 0 u(x, 0) = f(x), u(0, t) = u(L, t) = 0_ %3D

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Q: the coordinates of u and respectively relative to an 2+(a+6)r3y3+3(r12+r2y1)-6

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Q: Find two values of r such that y =x" is a solution of ху" - бху' - 18у %3D0,х>0. O A. r= -9, 2…

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Q: Solve for w where u (1, 1, –1, 0) and v = (2, 3, 0, –1). %D 5w u - 4v %3D W = Submit Answer

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Q: Eliminate the parameter t to find a Cartesian equation for: c= t and y= 10 + 2t. and express your…

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Q: Q4:-Solve the following equations (choose tow only):- 1: x*y - 2xy +2y = 2xe* %3D

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Q: Solve for x. Each figure is a parallelogram. 11) 12) W W 75° 3+61x 55° 8x+ 11 Y Y 14) 13) V. S. 26x…

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Q: Obtain the values oF a and b Catb) + j la-b)= (itj)+j° (2+j5)

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Q: Which of the following equation is symmetric with respect to a- axis, y - axis and Origin. O 3x2 –…

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Q: What is r for each of the equations?

A: Like in the rectangular form the variables are x and y. Same way in polar form the variables are r…

Q: Eliminate the parameter t to find a Cartesian equation for: x = t2 y = 7 + 5t The resulting equation…

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Q: 2- Solve the following equation: Utt = c?uxx +, u(0, t) = u(2, t) = 0 u(x,0) = x? ,u; (x, 0) = e*

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Q: Find the values of the constants a, b, c so that F = (axy + bz3)i+ (3x² – cz)j + (3xz? – y)k Is…

A: A vector F→ is said to be irrational if and only if cure F→ =0 i.e∆ x F→ = 0Given F→ = (axy+bz3) i^…

Q: dp For p(q).= q¯³, dq -3 dw For w(u) = u7, du %3D %3D

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A: We have to solve 1st order differential equation using substitution xy = u.

Q: eliminate the parameter to obtain an equation in x and y

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Q: Eliminate the parameter 1 to find a Cartesian equation for: x = t² and y = 4 + 2t. and express your…

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Q: Which of the followings describe all the solutions to the equation: x1 + 2x2 + 4x3 = 2? %3D 1. {(2,…

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Q: (b) Express the following points in Cartesian coordinates: (i) P(1, 60°, 2); and (ii) Q(2, 90°, -4).

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Q: Identify the quadric x + y – 22² + 4ry – 2xz + 2yz = 0 and give the equation in standard orm.

A: Write in quadratic form.

Q: Solve for x. Each figure is a parallelogram. 1) 2) .F 64° 138° 28x - 2 E 13x -1 3) 4) T. U 21x- 2…

A: "Since, you have asked a question with multiple subparts, we will solve the first three for you. If…

Q: Use the substitution method to solve the following system of two linear equations. -14x + 15y = 0.6…

A: NOTE: Refresh your page if you can't see any equations. . the first equation is  add 14x to both…

Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

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Q: the normd to the the equation f puradsla x=6t, y- 34? 26 Find at the poit where t:-2

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Q: Solve the equation z +j2z+(1- j)= 0. Express the answer in Cartesian forms.

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Q: Classify the following difference equations to be either regarded as first-order or not, and also…

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Q: solve for u and v in the following systern of equation: * +* = -6 * - * = 5 2 O u = - Ou = , v = 4…

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Q: Establish the attraction properties of the solutions (0, 0) of i = r³ + y ý = (x² + y² – 2)y

A: The attraction properties of the solution (0,0) of x=x3+yy=(x2+y2-2)y Therefore, x.y.=f1(x,y)f2(x,y)…

Q: Determine which the following is not linear equation .a cosx + y = 1 .b 0.5 x - y + 3 z -1 .C x + 5y…

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Q: Which of the following equations are true? Select three that apply. O zi - (v2) %3D (z:)'= V

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Q: Find an equation of the form y = ab² + csin(z) that fits the data below x 0 1 2 | y | 2 | 14 | 32 |…

A: Given:y=abx+csinπ2x

Q: Use the equations to find az/əx and əz/əy. x2 + 2y? + 3z? = 1 az ax az ay

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Q: Solve for v in terms of r, s, t, and u. ru = tsv %3D V =

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.