Question: find the hyperbolic distance between (0,10) and (3,4)

Q: spherical' covdinates in

A: Given: Orthogonal curvilinear coordinates. To Obtain: The expression for ∇2f.

Q: Find the points on the hyperbolic cylinder x2 - z2 -1 =0 that are closest to the origin.

A: Given data:     The expression of the function is: x2-z2-1=0.     The expression for the distance…

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

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Q: Find parametric equations for the line formed by the intersection of planes x + y - z = 29 and 3x -…

A: Consider the given:…

Q: In some designs of eyeglasses, the surface is "aspheric," meaning that the contour varies slightly…

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Q: Line segment AB is a diameter of the x² +y² + z² - 2z + 8y = 9. Find point B if A = (0, у, 0).

A: To find the point B if Coordinates  of A are given for the sphere.

Q: A bridge is built in the shape of a semielliptical arch.The bridge has a span of 60 feet and a…

A: A bridge is built in the shape of a semi-elliptical arch. The bridge has a span of 60 feet and a…

Q: Veridy stokes Theorem To F-メデキを×らャでK ellipse on

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Q: Find a parametric description of the line segment with endpoints P(-1,3) to Q(3,-2)

A: The line segments with endpoints P(-1,3) to Q(3,-2)

Q: Find the area of the resulting surface if an arc of a parabola y=x2 from (1,1) to (2,4) is rotated…

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Q: Consider two non-parallel lines , l1 & l2, in R³ with parametric equations l1: P+ tu l2: Q + tv.…

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Q: Find the lines curvatures, the first and second fundamental forms of the surface: the surface

A: As per the question we are given a surface. And we have to find its first and second fundamental…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Radiation is focused to an unhealthy area in a patient’s body using a semi-elliptic reflector,…

A: The position of the elliptical reflector is placed  such  that it contains the one of the focus and…

Q: Consider a right triangle whose sides are under the coordinate axes and the hypotenuse under the…

A: Tangent line and maximization area

Q: Use parametric equations to derive the formula for the surface area of a sphere of radius a.

A: We know that parametric equations of the sphere, x=acosθsinϕy=asinθsinϕz=acosϕ So parametric vector…

Q: Find parametric equations for a circle of radius 2, centered at (3, 5).

A: Solution:Given    radius of the circle=r=2centre of the circle(h,k)=(3,5)To find the parametric…

Q: 91 a) Find an equation of the sphere with center (1,-3,-5) and tangent to xz-plane.

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Q: 1.Find the area of the triangle in the xy-plane with vertices A(n,n2, n3),B(m,m2,m,),C(r..). 2.…

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Q: 3) Find the family of curve that intersects the family of hyperbolas y = 2r+b at an angle arctan(1)…

A: Given the equation of family of hyperbolas is y2=2x2+b

Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

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

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Q: find parametric equations for the lines with the given description.  Perpendicular to the yz-plane,…

A: To find parametric equation perpendicular to yz plane passes through (0,0,2)

Q: A baseball player throws a ball from a height of 6 feet, with an initial velocity of 90 feet per…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: the polar coordinates to find the volume of a sphere of radius 1. -

A: Given;  Sphere of radius 1.

Q: (b) The circle of radius 2 centered at (0, 0, 0) and lying in the i. xy-plane ii. yz-plane iii.…

A: According to our company's guidelines I can only answer first question (b), since (c) is not…

Q: Find parametric equations for the line through (3, – 7,6) parallel to the x-axis. Let z = 6. X= , y…

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Q: A circle is specified in parametric form by x=7+3cosθ y=−8+3sinθ What are the coordinates of the…

A: Given : A circle is specified in parametric form by  x=7+3 cosθy=-8+3 sinθ To Find : What are the…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Find the linear speed v for a point on the edge of a flywheel of radius 2 m, rotating 42 times per…

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Q: Incentre of the triangle formed by common tangents of the circles x2 + y2- 6x = 0 and %3D x2 + y2 +…

A: Draw the figure:

Q: Find parametric equations for the line through (-4,1,1) parallel to the x-axis. Let z = 1. y-z=…

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Q: c. Find where u, + tu + xu = 0 is hyperbolic, parabolic, and elliptic. Sketch the regions.

A: The general form of second-order linear partial differential equation with variable coefficient is…

Q: One circle C, of radius 2 is centered at the origin. On top of the circle a second circle, C2, is…

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Q: Find a parametric description r(t) for the ine segment from (-1,-3,-1) to (1,7,4). Provide your…

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Q: b. Minor axis of length 12, foci 6 units below and above the center (2,-1)

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: Find parametric equations for the line segment from (8, 3, 1) to (3, 5, -2). (Use t parameter t.)…

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Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x by the line…

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Q: Using Newton- Raphson method, Determine the points of intersection between the circle x +y = 3 and…

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Part a) Find a parametrization for the line passing through the two points (7, 8, 6) and (8, 8, – 6)…

A: We need to parametrize the two points.

Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: 5. Find parametric equations for the line of intersection of the planes x + y = 1 and y +z = 1.

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Q: (3) Find parametric equations for the line of intersection of the planes. x + y - z = 2 and y + z =…

A: Given equation of the planes are  x+y-z=2     y+z=0 we rewrite them as x+y-z-2=0, and    0x+y+z=0…

Q: 4. points] Find the equation of the tangent plane to the surface a? 2yz + z3 = 0 at (1, 1, 1).

A: This question is based on 3-d Geometry.

Q: Find the area of the resulting surface if an arc of a parabola y=x2 from (1,1) to (2,4) is rotated…

A: The given curve is: y=x2        from   (1, 1)  to  (2, 4)

Q: Scoliosis is a lateral curvature of the spine that can be detected when a grid is superimposed over…

A: We have to find the coordinates of the points given to us so, for that we will measure the distance…

Q: Theorem: Two geodesics at right angles have their torsion equal in magnitude but opposite in sign.

A: To prove: Two geodesics at right angles have their torsion equal in magnitude but opposite in sign.…