The following are equations in terms of r, y, z and w. (i.e. any other letter in the equations are constants!) Select all linear equations. Only select linear equations. (a) 4.r + 7y – z + w = r (b) r- sin(2) + y = w (c) ar² + by² + c2² = dw² (d) 2 sin(a) · y – r = wz (e) a - b = e²z O (a) (b) (c) O (d) O (e)

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: Let a be the angle between ở and w and ß be the angle between w and ž. Is a > B? Support your answer…

A: Given: v→=6,-3w→=-2i→+5j→z→=-5j→ To Find: Let α be the angle between v→ and w→and β be the angle…

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: Z2

A:

Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

A:

Q: Find the characteristics equation of x²r+2xys+y²t

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Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 2,000 - 0.005x - 0.01y,…

A:

Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

Q: 2 -1 2 2.

A:

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

A:

Q: Find the real values of x and y such that (x + iy)2 = -8 + 6i.

A:

Q: хdу — dy %3D (3x? — 3х)dx — ydx

A: The solution is given as

Q: The i-component of +t is

A:

Q: Find the solution. (Dé+ 9D* +24D² + 16)y = 0. y = c,cosr +c,sinr + (c,+cx)cosr+ (cz+cx) sinx y =…

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 900 - 0.005x north. 0.01y,…

A: Directional derivative of a function f(x,y,) in the direction of unit vector  u^=ai^+bj^  where…

Q: Which of the following is the special solution of the equation y" - y = 3x + 2 using the operator…

A: The given equation is; y''-y=3x+2

Q: 2 x²+yi -I -VI-2²

A:

Q: Write v as a linear combination of u and w, if possible, where u = (2, 1) and w = (2, -2). (Enter…

A: u=2, 1 and  w=2, -2To express v=4, -1 as a linear combination of u and w

Q: Calculate  x and y (2+xi)+(y+3i)=7+4i

A: Complex numbers are those numbers which is represented in the form of (a + ib) where is a real part…

Q: Find the roots of the auxiliary equation. a) y"'-6y"-2y"+31y'+y = -(y'+y)

A:

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

A:

Q: Find the center mass of the solid bounded by planes x + y +z= 1, x = 0, y = 0, and z = 0, assuming a…

A: The mass of a solid with density function ρx,y,z is given by ∫∫∫ρx,y,zdV. Here the equation of the…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.