3z +1 (z+1)(2z – 1)

Q: 11) Find the equation of the plane that passes through the point (1, 5, 1) and is perpendicular to…

A: A plane is passing through a point (1,5,1) and is perpendicular to the planes 2x + y - 2z = 2 and x+…

Q: Differentibtion Ofind tue slofe of the funkdion Jx +t at the Point OFind the equation of the taryert…

A:

Q: 2. Give the symmetric equations of the line l perpendicular to the plane T : 5x– 2y = z+4 and…

A: we have to find equation of line.

Q: 15. Perpendicular to the plane x + 3y – z-7=0 and containing the points (2,0, 5) and (0, 2, -

A:

Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+7z+2=D0, x+2y-3z+5=D0.

A:

Q: 14. The plane passes through (2, 2, 1) and (-1, 1, -1) and is perpendicular to the plane 2x-3y+z=3.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 4. Find the general equation of the plane passes through the points (3,2,1) and (3,1,–5), and is…

A: We have to find the plane equation

Q: A two-dimensional robot arm "knows" where it is by keeping track of a "shoulder" angle a and an…

A:

Q: Masses of 3 kg, 1 kg and 5 kg are located at points with co-ordinates (1,2). respectively.

A: Please refer to the image below

Q: What kind of conic section is given by the quadratic form ? -11x,2 + 84x,x2 + 24x,2 = 156 Transform…

A: Given Quadratic Equation is, -11x12+84x1x2+24x22=156 Matrix Representation form is, A=-11424224 Find…

Q: 8. The distance between the planes 2r -y-2z 5 and 2r - y- 2z = 7 is A C 2 D 4

A: As the planes are parallel than for calculation distance between planes we use formula:…

Q: Consider AXYZ with vertices X(4, 7), Y(8, 5). and Z(6, 3). Follow the steps to the left to find the…

A:

Q: The equation of the plane through the point (2, 5, 7) that is parallel to the line 7(t) = 3î + 2 –…

A: Explained below

Q: Integrate Im z, C counterclockwise around the triangle with vertices 0, 5, 5i. Use the first method,…

A:

Q: #5

A:

Q: JK in the coordinate plane has endpoints with coordinates (-4,11) and (8, -1). Find all possible…

A:

Q: 3. Among all the points on the graph of z = 10 – x² – y² above the plane x + 2y + 3z = 0, find the…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: 2. Find an equation of the sphere that passes through the point (2, 3, –1) and has center (-3, –1, –…

A:

Q: Find the cartesian equation of the through (1, 3,-2) perpendicular to 51-71+3k. 5x-7y +3z - 22 0…

A: The required equation of the plane is : 5x - 7y + 3z + 22 = 0, which is the last option. The…

Q: The point on the plane 2x+y+z=1 that is closest to the point (1, 2, 3) is (a, b, c). Then a+b-2c= O…

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Q: Q1: Formulate the equation of plane in space that contain two points (2,4,-1) and (1,3,-2) and…

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Q: 2 b) Prove that Imz=0, larg z - 41= 4, 2-ž =0, 1Z-il=1Ztil are different equations all describing…

A: If we let z=x+iy then We will show that y=0 which is the equation of real axis.

Q: 3 find +he equation of Hhe plane perpendicul av bo the plane x+24+5z=|| and passing through the…

A: The given plane is,

Q: 39. The plane that passes through the point (1, 5, 1) and is perpendicular to the planes 2x +y - 2z…

A:

Q: 3. When origin is shifted to (3,4) by translation of axes, find the transformed equation of 2x² +…

A: We have to solve given problems:

Q: The plane containing the point (-7,-1,0) and parallel to the plane 5x + 8y – 2z Ax+By+ Cz = D. If A…

A: Given the plane containing the point (-7,-1,0) and parallel to the plane 5x+8y-2z=-5 has the…

Q: Integrate Im z², C counterclockwise around the triangle with vertices 0, 5, 5i. Use the first…

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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: 24) By using Lagrange multiplier find a point in the plane x+2y+3z=13 nearest to the point (1,1,1)

A: We have to find a point in the plane x+2y+3z=13 nearest to the point 1,1,1 by using Lagrange…

Q: 6) Find the distance between the point (1, -4, -3) and the plane 2x – 3y + 6z = - 1.

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Q: Find the image of (2, –2) after a counterclockwise (passive) rotation of the axes about the origin…

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Q: 4. (5) Find the equation of the plane passing through the points. Simplify the equan (2,0,1),…

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

A:

Q: Z is a complex variable, z=x+iy

A: The z is complex variable with z = x + i y , and the given vertices are (0,0),(1,0),(1,1) and (0,1).

Q: 1. Find an equation for the plane through Po (0,2,-1) perpendicular to n = 3i - 2 j- k ?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Among all the points on the graph of z = 10-x2 -y² that lie above the plane r+2y+3z = 0, ind the…

A: Given that z=10-x2-y2 and x+2y+3z=0 Find the point which is farthest from the plane.

Q: Find the equation of the plane with the given description in scalar form. Passes through (1, –1,2)…

A: We have to find the equation of plane which is passing through given point and parallel to the given…

Q: find the pole and resuidue of 3z + 1 (z + 1)(2z – 1)

A: Poles and residue of the given function are given below ;

Q: 2. Let C be the closed path constructed by joining the segment [-2, 2] on the real axis with y(t) =…

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Q: 18. Find the point on the plane 2x + 5y +z= 10 that is nearest to (2,0,1). What are the values of x,…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

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: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: 3 Find the e qu.of Plane that Contains elol; 3) and Parallel to the X-2 Plane and PerPendicular to…

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Q: 278. Find symmetric equations of the line passing through point P(2, 5, 4) that is perpendicular to…

A: Topic = Vector As per guidelines , At a time only question can be answered. please repost for other…

Q: Q = (-1,3,–1) on the plane Find the point P nearest to x – 4z = 2

A: Given, Q=(-1,3,-1) x-4z=2 (equation of plane) x-4z-2=0

Q: 16. Find an equation of the plane through the point (1, 1, –2) and parallel to the plane 3r – z =

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Q: Among all the points on the graph of z = 10 - x2 - y2 that lie above the plane x + 2y + 3z = 0, find…

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Q: Find the set of points that is satisfied the condition described by |z – 2i|+ |z + 4i| = 10

A: