Classify, according to type (hyperbolic, elliptic, parabolic) the equations (i) Uxx +2Uxy +Uyy −Ux +U =0. (ii) 2Uxy +Uy +Ux =0. (iii) Uxx − Uxy − 2Uyy = 0.

Q: Convert into rectangular coordinates. (2,-) 3

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Q: Find the local maximum, minimum and saddle points of the function using the second derivative test:…

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Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Q: 4

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Q: 2n are 3 2. The rectangular coordinates of the point | –6,– (A) (-3,3\3) (B) (3V3,-3) (C) (-33 ,3) •…

A: We have been given a point in polar coordinates as ( -6, 2π/3). We are required to convert it into…

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

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Q: Find the parametric equation for the line where the planes -7x + 7y - z = 20 and 2x + 7y + 2z = 23…

A: Please see the below steps for detailed solution.Explanation:Step 1: Given −7x+7y−z=20 and…

Q: Consider the Point (-2,1,3) and the plane -3x2 +x2 +4x3=7. Find parametric equations of the line…

A: The direction vector of a line perpendicular to a plane is same as the normal vector of the…

Q: Let r, r, and r, be the roots of x’ +3x² –5x-4=0, construct the equation whose roots are: 7 (r, +r,…

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Q: Find a parametric equation for the line through the point (2,3, – 1) and perpendicular to the plane…

A: Given that The point on the line (2,3,-1) and perpendicular to the plane 8x+3y+3z=5 A vector…

Q: 24. Write parametric equations for the line passing through the point at (-2, 5) and parallel to the…

A: The given equation is  3x - 6y =-8 which can be written as        6y = 3x +8 or, y = 12x + 43 The…

Q: ン Plot the point whose polar coordinates are 4, 5+ 4 2 -5 -4 -3 -2 -1 4 5 -1 -2 -3 3.

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Q: must use linear algebra to find the parametric equations of a line of intersection in R3 for x1 + x2…

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Q: find the xy equation of all three sides of triangle ABC with verticies  A= (1,5)  B= (3, -1)  C=…

A: The given triangle is  now we have to find the equation of lines AB,AC,and BC

Q: Find parametric equations for the line through the point P(2,3,4) parallel to the plane -x+5y-6z=10…

A: As per given by the question, There are given that the point P(2, 3, 4) and the line is,…