Hw-3 If A(X, -2,0),B(-1al,=3)_, C(-4,alg2)_anid D(320,0)are-points- in Slace thenfind value ofthe cisordinatefx that makerthe bex ABC is 6or Votume of the

Q: Solve for w where u = (-1, 1, 0, 1) and v = (2, 3, -1, 0). w + 4v = -3u w3D Need Heln? Re

A: u=-1, 1, 0, 1 and 2, 3, -1, 0w+4v=-3uTo find w

Q: Example: Calculate the value of (@w/0x) at the point (x, y, z) = (2, -1,1) if:- w = x2 + y2 + z? z3…

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Q: Write y as an affine combination of the other points listed. 1 1 5 1 4 - 5 y = -29 %3D V2 V3 2 - 2 1…

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Q: 7. The line of intersection if any of the planes 3x+2y-z 7 and x-4y+2z 0.

A: According to experts guidelines of Bartleby i have to solve first question only so repost the…

Q: Find x; y; z; t where 3 (, ) = (_; )+(,÷, **) 6 4 x + y\ \z +t 1. O x = 2,y = 4,z = 2,t = 3 2. O x =…

A: Find x,y,z,t

Q: Find (2) and (7) at the point (w, x, y, z) = (48,1, -2,-2) if w=3x²y² + 3yz - 3z³ and x² + y² + z² =…

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Q: 4-18 Three points, (xt, J'1), (x2, J'2), and (x3, y3), lie precisely on the straight line Y = a +.…

A: Let (xi, yi) , i=1, 2,3,....n be a given sample of size n And the equation of the straight line be…

Q: Which of the following properties satisfy the equation * 9x2 + 16y² + 72x- 96y + 144 = 0 %3D C(4,3);…

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Q: Find symmetric equations for the line of intersection of the planes. 2 3x - y - 7, 2- Sx + 2y - 8 O…

A: Given:- Planes 1 z= 3x-y-z-7 Plane 2 z=5x+2y-8 To find:- Find symmetric equations for the line of…

Q: Q, W, and K are collinear. WQ = 7 cm and WK = 30 cm. Determine QK. (Enter your answers as a…

A: Given the Q, W, and K are collinear points and WQ = 7 cm and WK = 30 cm. To find QK

Q: distance Q.2A) ((q,x+ 92y+ 93z = M, ,41x + 92y+932 = M2)) |M, – M2| Prove the between to planes…

A: Let the point (x1,y1,z1) is on plane 1 and the point (x2,y2,z2) is on plane 2. As we already know…

Q: Which of the following points are coplanar? a. (-4, 1, 0), (0, 1, 2), (4, 3,-1), and (0,0, 1) b.…

A: set of points are given, we have to find coplanar points

Q: (a) Use the method of Lagrange multipliers to find all candidates of the point(s) on the surface x2…

A: Lagrange multiplier.

Q: The line L(t) =(-1+t,3-t,1-t) intersects the plane x-2y-Z=4at the point P(2,0, - 2) when t = O 2 O…

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Q: 1. f(x, y) = 192x³ + y² – 4xy2 on the triangle with vertices (0,0), (4,2) and – 2,2). %3D

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Q2 Let C be the line segment joining the origin and the point (2,0, 1) and C2 be the line segment…

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Q: -)using change of variables to evaluate: x+y 'R (2-x+y) (1,0),(0,1),(-1,0),and (0,–1) dædy ,where R…

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Q: 3. Rhombus KLMN with vertices K(-3, 2), L(1, 4), M(-1,0), and N(-5, -2): (x, y) → (x, y- 5) 4. Re…

A: First we draw Rhombus KLMN and then Draw Rhombus K'L'M'N' .

Q: dw dw Find ду and ду at the point (w, x, y, z) = (9,3,1,1) if w = x²y? + yz- z³ and x2+y² +z² = 11.

A: The solution of the problem is given in the next steps.

Q: (ii) Show that any Lagrange multiplier can either take on a value one or zero i.e. L,(2,) = {: # i +…

A: Show that the Lagrange's basis polynomial function Lix can either take on a value one or zero on the…

Q: B. Let Y = {a, b,c} and Z = {1,2} %3D %3D 1. Find Y x Z

A: Given: Y=a,b,c and Z=1,2 To find:  (1) Y×Z (2) Z×Y (3) Y×Y

Q: Find the trace of the plane 9x – 9y + 11z = 5 in the coordinate xz-plane. (Use symbolic notation and…

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Q: ... Solve for w where u = (-1, 1, 1, 0) and v (-1, 2, 3, 0). 3w = u- 4v W 3=

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Q: 1. Find the distance between the two planes - 2y + z=4 and z-2y+ :-1 HI

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Q: h(t) = -3t2 + 12t – 1 %3D a = - 3 b = 12 c= -1 %3D %3D 2a oi altsibsup orlt onut 1o znoitsups…

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Q: 4 k V1 = V2 = -5 ; y= -6 -2 k For what value(s) of k is y in the plane spanned by vị and v2?

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Q: 2. Which of the following points lie on the plane 11x-2y-4z + 2 = 0 A) (4, 2, 6) B) (11,2,-4) C) (4,…

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Q: 3+x--56=2 -3+7 X, Y 7. Directed line segment DE has endpoints D(-4,-2) and E(1,8). Point F divides…

A:

Q: If (x1, yı) and (x2, y2) are distinct points in the plane, show that y 1 1 =0 X1 x2 y2 is the…

A: If (x1, y1) and (x2, y2) are distinct points in the plane, to show that  xy1x1y11x2y21 =0 is the…

Q: Q4: Let z = 2x2 – y? . Find all points at which |Vz| = 4. Then find V|Vz| at the point (1,4).

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Q: 3. The vertices of AFGH are F(-1, 1), G(-5, 4), and H(-5,-2). X is the midpoint of FG, and Y is the…

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Q: P1=(x1,y1,z1) and P2=(x2,y2,z2)  prove that distance of P1 and P2 ; |P1P2|=((x2-x1)2 +(y2-y1)2…

A: Solution: The objective is to prove that the distance of P1 and P2   |P1P2|=((x2-x1)2 +(y2-y1)2…

Q: 5) s how that the line af intersection f the Planes and 5x-2y-Z=0 is Paraliel toG Pheline X+23-22= 5…

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Q: 4. y=4-x² , y=3x and the x-y plane is given by the fol expresions.

A: We have to choose the correct option according to the given information

Q: 16. Where does the smallest value f(r, y) + 3ay + y occur on the rectangle (-2, 2) x (-3, 1]? a) It…

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Q: Find -3ay dA Over the D ewith daianguler region Verteies (0,0) 2, 0), 0,4) 8- 9. 8. -16 d 68 -68 16

A: From the given problem the bounded region is shown as below: Now find the equation of the line AB:…

Q: 3)s the grapu For Following Sketcn the Functions a) 2: 3-2x-6y b) Plane 2s+Z=H ) zyünder x ysz d)…

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Q: o Find the Vf at the given point 2. (x,y.2)=(x² + y² + ²)² +In.xyz,P(-1,2,–2)

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Q: • Example: f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: Let w = iz2-4z+3i. find (a) Δw, (b) dw, (c) Δw-dw at the point z=2i

A: Consider the provided question, (a)

Q: Q5: ди ди ди and dz p-q a. Find for u = if p = x + y + z ,and q = x + y + əx' əy q-r z, and r = x+ y…

A: Consider the given values. p=x+y+zq=x+y+zr=x+y-z And, u=p-qq-r                          (1)

Q: QY Use Gramer's Rule to Find K,y and Z -y-22 =-8 %3D 1 + 32 = 2 %3D 7X +y+Z = o

A: Craners rule used

Q: Find a point with z = 2 on the intersection line of the planes x + y + 3z = 6 and x - y + z= 4 .…

A: Given, equation of planes x+y+3z=6x-y+z=4

Q: Exauple- If v=(T') is a contraviurient vecfor, Shew that He Parhil clenivatokes , dehined in each…

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Q: Find the maximum and minimum of Z= 19x + 15y subject to 3x + 2y 2 6, 0sxs10, and 0sys5. O A. 75, 38…

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Q: Z, = 1-J3 Z3= -3-j4 Zz=-2tj5 Zy=Itjb Let: Solve and draw the results in Argand Diagram z1z2 A. z4 z1…

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Q: Prag the pn ets the fa to the fte that anh rowta futon, te fasten, thgagh and a rertate taof vaken…

A: Let's find.

Q: - (tan(3x)-y)+(-2x +secty)f and C be the boundaries of the eirele x + (y-4) 9 in the…

A: Green's theorem says: ∫CF→·dr=∫CP dx+Q dy=∫∫C∂Q∂x-∂P∂ydx dy where F→=P i+Q j

Q: A student is graphing the function y= Vz+4 on the coordinatė plane. Which statement will help the…

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