Find the polar coovdinates rectanguar coordinak es the point whose (x,y)= LI,}) are

Q: Find equations for the sphere whose centers and radii are given in center(0,-1,5) radius 2

A: Equation of sphere centered at (a, b, c) and having radius r is

Q: and you take it from the rectangular system into the polar system. What will the new limits of…

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Q: 1. Get center point of homo geneu us plane limited by 9) y =4- x2 and x axis

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: How can we ensure that the decision boundary (separating hyperplane) of a perceptron does not always…

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Q: Find the favily of orthogonal trageclores %3D

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Q: Graph the surface whose spherical equation is p = 1– sino.

A: We use maple software to graph the given surface.

Q: State the equstion of the yz plane

A: We have to find equation of yz plane

Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

Q: A square is rotated about its center. Select all of the angles of rotation that will map the square…

A: A square has four equal sides and its adjacent sides are perpendicular to each other. That is, pairs…

Q: Consider the point (3,4,5) What is the projection of the point on the xy-plane?

A: The given point is (3,4,5).

Q: Which type of symmetry does S exhibit? Radial Translational Reflectional

A: Radial symmetry is a rotational symmetry. The objects in this symmetry remain the same if rotated by…

Q: If the coordinates of the mid-points of the sides of a triangle are (1,1) ,(2,-3) and (3,4) .Find…

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Q: .Calculate the dstance between tve point (3, -2) and the plane Z Xty-2+1=0.

A: The distance between the point (a, b, c) and the plane Ax+By+Cz+D=0 is given by,

Q: PCt) =<5-t, 4t -3,3t7 uking are length Reparami tize parameter from the point (4,113).

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Q: . Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² =…

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Q: The surface z - - = 1 is a hyperboloid of one sheet. Select one: True False

A: The general form of the equation of hyperboloid of one sheet is: x2a2+y2b2-z2c2=1

Q: Find the solution of polar coordinate f(z) = Z+ sine function by using Cauchy-Riemann method.

A: Cauchy Riemann method in polar form

Q: Find a parametrization for the sphere of radius 2.

A: Consider the equation of the sphere x2+y2+z2=22. Here the sphere is centered at origin.

Q: Find a parametrization of the circle of radius 5 parallel to the yz-plane with center (-1, 4, 6).

A: The general form of a parametrization of the circle of radius r parallel to yz-plane with center…

Q: Give equations for two distinct planes whose trace in the yz-plane has equation y = 4z

A: Given, two distinct planes have trace in the yz-plane has equation y = 4z

Q: Find a parametric representation of a straight line passing through (1,2,1) in the direction of…

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Q: 2) Use polar coordinate dydx (1+ x² + y° )'?

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Q: find a parametrization for the curve. the ray (half line) with initial point (2, 3) that passes…

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Q: A line segment bounded by two points (0,0,0) and (2,2,0) is rotated about the y-axis by 270 degrees.…

A: We will first parametrize the line as a function of t , then with the help of rotation (u) matrix we…

Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it using…

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Q: Sketch the surface 2./4- and verify that fry - lyx

A: Given surface is  z=4-x2-y2 we have to sketch this and verify that fxy=fyx

Q: Find parametric equations of the line through the point (5, 0,−2) that is parallel to the planes x…

A: Any point in three dimensional coordinate system will be of the form x1,y1,z1 . We can calculate the…

Q: What is the minimum angle of rotation (in degrees) that will carry the six-sided star onto itself: I…

A: It is a 6 sided star that means it will redivided into 3 parts:⇒ we divide 360°( full rotation ) by…

Q: Obtain the dirfferential equation of the family of curves:  1. All circles passing through the…

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Q: Write the equation of a sphere of radius 3 in all three coordinates--cartesian, cylindrical, and…

A: It is given that the radius of sphere is 3 .We have to find the equation of sphere in all three…

Q: find distance between plane(6x_2y_z+4=0)and point (3,2,1) P 3:08

A: Given,           The plane is 6x-2y-x+4=0 and the point is 3,2,1.

Q: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

A: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.

Q: 11. Circle in the plane z = 1 with center (3, 2) and passing through the origin.

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Q: Given a point in spherical coordinate (5, ,"), find its equivalence in cylindrical coordinate. Draw…

A: We have to convert given spherical cordinate to cylindrical coordinate system.

Q: Find the point cylindrical coodinater of whoose cartesin coordinates are 10,-1,2)

A: Given: The cartesian coordinate (0,-1,2)

Q: find parametric equations for the given curve. Circle of radius 4 with center (3, 9)

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Q: Convert the point (1, , V3) from cylindrical to spherical coordinates. A. (2. 5. 5) 4' 6 В. 2,

A: To convert cylindrical coordinates (r, θ, z) to spherical coordinates ( ρ, θ, φ) we use following…

Q: Find a parameterization for a circle of radius 4 with center (-4,4,-6) in a plane parallel to the yz…

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Q: Find Parametric efuatins for the lines - The line through (1-2-2) Paralle tothe(Z)-axis.

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Q: Sketch the triangle with vertices O,P = (4,0, 2) and Q = (4, 3,0) and compute its area products.…

A: To find the area of triangle

Q: Find parametric equations for lines passing through point Pand parallel to vector n: (а) Р(3, — 1,…

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Q: (4,-) Find the orthogonal coordinates of point P in a plane whose polar coordinates are

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Q: Find a parametrization for the ray (half line) with initial point (-4,3) that passes through the…

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Q: 9. What will be the coordinates of point Nafter a 270 counterclockwise rotation about the origin?

A: When rotating a point 270° counterclockwise about the origin our point N(x,y) becomes N'(y,-x). This…

Q: Obtain the dirfferential equation of the family of plain curves given 1. All circles passing…

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Q: Find parametric equation of a helix radius 5 from a point (5, 0 ,0) to a point (0, 5, 1)

A: Given that the radius of the helix is R=5. We know that the parametric equation of helix is given…

Q: a sphere has center (5,7,7) and is tangent to the yz coordinate plane. write an equation for the…

A: Center of sphere is And is tangent to yz plane

Q: What coordinate system is suggested if the integrand of a tripleintegral involves x2 + y2?

A: Given: The integrand of a triple integral involves x2 + y2

Q: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

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