Lineal algebra subject 8. Please provide a well explained answer for the follwoing. And explain what is a homogeneous system? can a homogeneous system be inconsistent? what is a parametric equation?

Q: For the system in polar coordinates, i = ur – r3 = w + br? change the system to Cartesian…

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Q: (а) г %3D 3. (b) z = r². (c) 0 = 4.

A: (a) In the cylindrical coordinate system, The equation r = constant represents a circular cylinder…

Q: Question 9 What solid is formed when this net is folded? A В D

A: Option D is correct answer

Q: 1. Point L is a centroid of the triangle FWD. If RL = 54 cm, what is RD? W R ) 81 cm 58 cm O 100 cm…

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Q: QUESTION 18 parametric form. Find the general solution to the following linear system. Give your…

A: The solution is given as

Q: Write the equation  x2 - y2 - (z-1)2 = 9 in cylindrical system . Which surface does it represent?…

A: Convert into cylindrical representation.

Q: The following system of equations describes a shape in R³ using cylindrical coordinates. r = 1 Z = 0…

A: Relation between cylindrical co-ordinates and rectangular co-ordinates is given as  x=r cosθy=r…

Q: Identify and sketch the solid figure that could be formed by the net.

A: 4. To identify the solid figure formed by the netof squares

Q: What symmetry will you find in a surface that has an equation of the form r = ƒ(z) in cylindrical…

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Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x-1)² + ² x²…

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Q: Which of the following is NOT a method for finding volume of solids of revolution? (A) shell method…

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Q: Current Attempt in Progress Determine whether the solution space of the system Ax = 0 is a line…

A: Statement used :-  If dimension of a null space is 1 then its solution space is a line. And if…

Q: Write the equation  x2 - y2 - (z-1)2 = 9 in cylindrical system . Which surface does it represent?…

A: A given point P (x, y, z) in rectangular coordinate.   Now in a cylinder coordinate system, a point…

Q: The figure below shows the solid that lies under the paraboloid z = 4x? + 4y?, and above the…

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Q: Introduce an appropriate coordinate system and find the center of mass of the planar lamina. (The…

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Q: Verify that the expressions for the volumes of the first four shapes in Fig. 5.21 are…

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Q: satellite dish is shaped like a paraboloid of revolution. The signals that emanate from the…

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Q: Find parametric equations and a parameter interval for the motion of a particle that starts at (a,…

A: (a)

Q: Look at the three-dimensional solid below. Which two-dimensional shape can be rotated to create this…

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Q: Consider the planar system i = r(1 - r) - y ý = y(1 – r) + x where r = Va? + y?. Rewrite the model…

A: We are given a dynamic system in Cartesian coordinates and we have to convert it into polar…

Q: a) Find the centroid of the circle. Enter an exact answer as a point. circle centroid (7, 9) b) Find…

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Q: Point K is a centroid of the triangle JGI. If KL = 28 cm, what is JL?

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Q: a) x² x² + y² - 2² +22=1 ɔ) x² − y² + 2y + z² = 2 =) x² 4x − y² — z² = −3 d) x² - 4x − y² — z² = −4…

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Q: 27. The opening under a bridge is in the shape of a semielliptical arch and has a span of 120 feet.…

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Q: Determine the degree of the Homogeneous Equation. a + 4b a – 4b Degree 1 Degree -1 Degree 2 Degree 3…

A: Let us take f(a, b) =a+4ba-4b we know for a function f(x)= tnf(x), then the degree is n

Q: 7 a) For the system, 6 -1 Y 5 4 Y' = The origin is a Spiral Source Spiral Sink Center None of the…

A: 7a Given system is Y'=6−154Y First we have to find the eigenvalues of the matrix 6−154, which is…

Q: (a) Find parametric equations for the portion of the cylinder x² + y² = 5 that extends between the…

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

Q: Two particles travel along the space curves R1=  r2(t)= Do the particles collide? Do their paths…

A: At collision both space curves have same value of t  Given curve :…

Q: Consider the planar system - art = ý = -y. %3D a) Please verify that satisfies condition (3) of the…

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Q: 1. (a) For the system below, describe the solutions in parametric vector form: + 3x2 + 2x1 + 6x2 +…

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Q: Consider the points A(3, −1, 10), B(−1, 4, 1), C(5, −2, −1), and D(1, 1, 1)  (a) Determine the…

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Q: 3.

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Q: 1. How would you make a three-dimensional representation of a dog, using only the geometric solids?…

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Q: 6. Given a figure below, point A and 8 are called a. collinear b. coplanar c non-collinear d.…

A: Since you have asked multiple question here, we will solve the first one for you. To get the…

Q: A bridge is supported by a parabolic suspension cable hung in two cement posts 150 meters apart and…

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Q: 3. Point Z is a centroid of the triangle VWY. If VZ = 42 cm, what is VX? %3D Y X W V

A: A triangle

Q: Center of Mass: Point masses in the plane. Suppose three point masses are placed in the ry-plane as…

A: We find out centre of mass for the given system. Follow 2nd step.

Q: Question 11 The equation x2 + 4y2 = 4 in three-dimensional space is an equation of %3D which…

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Q: Determine the degree of the Homogeneous Equation. y xsin- – ysin | y Degree 0 Degree 1 Degree 2…

A: The given homogeneous equation is xsin(y/x)-ysin(x/y) As the degree of homogeneous function xnf(y/x)…

Q: Point L is a centroid of the triangle FWD. If RL = 54 cm, what is RD?  Show your work.

A: Given L is centroid of triangle FWDand RL=54cm

Q: 44. The parametric equation of the rectangular hyperbola #(y + 1) = c² is A. 1 = ct, y B. I = 1+ ct,…

A: Please see the explanation below

Q: Write the equation  x2 + z2 -(y-1)2  = 0 in cylindrical system . Which surface does it represent?…

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Q: Consider the system of equations. x +y = 0 x + y = 1 (a) Set up and solve the normal equations for…

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Q: A figure is located at (0, 0), (−3, −4), and (−3, 0) on a coordinate plane. What kind of 3-D shape…

A: SolutionA figure is located at (0,0), (-3,-4), (-3,0) of co-ordinate frame is.

Q: Write x²-y²-(z-1)²=9 in cylindrical system and what surface does it represent

A: A given point P (x, y, z) in rectangular coordinate. Now in a cylinder coordinate system, a point is…

Q: .... blueprint to actual dimersions. Calculate the distance in umit dimensions by applying your…

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Q: write the equation x^2-y^2-(z-1)^2=9 in cylindrical system , which surface does it represent ? give…

A: To determine the cylindrical form of the equation.

Q: EXERCISE 3.4 A line segment has two ends of (-a, 0, R) and (a, 0, R). The surface of a cylinder is…

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