0.5 a= 5 -0.5 xb= -1 T For the above plot of the ellipsoid ()²+(H)² + (-)². b a, b and c are positive integers between 1 and 6 inclusive. Use the mouse to rotate the surface. 2 3 XC= 5 X Enter an integer or decimal number [(more.. = 1, find the parameters a, b and c. Note that

Q: 3x, - 2x, + 4X3 = 1 X, + X2 - 2x3 = 3 2x, - 3x, + 6x3 = 8 Select one: O a. x,=1,x,=3, x,=1 O b.…

A: From Cramer's rule,                                  If , ∆=0 then given system has no solution.

Q: Find the equation for the tangent plane to the surface Z =-8x² - 3y2 at the point (2 1, -35). O 2x +…

A: We can find the answer as below

Q: Cоmрute (x + y) dz, where is the portion of the parabola C y = 4 – x2 from -2 to 1+3i.

A:

Q: find a parametrization for the curve. the line segment with endpoints (-1, -3) and (4, 1)

A:

Q: Find the equation of an ellipsoid passing through the points (±4,0,0), (0, 18,0) and (0, 0, ±14).…

A: The equation of the ellipsoid is:x2a2+y2b2+z2c2=1 We have given the ellipsoid passing through the…

Q: Sketch the surface (−x2/16 + y2/16) = z.  Choose the correct graph of the equation.

A: We need to sketch the surface (−x^2/16 + y^2/16) = z.

Q: Reduce the equation to one of the standard forms, classify the surface, and sketch it. (a) z23x²+4y²…

A: We have to reduce the equation in standard form, classify the surface and sketch the surface.Note:…

Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: Usefe x dy - y dx to compute the area of the ellipse ()² + ()² = 2 = 1. (Use symbolic notation and…

A:

Q: Q3. Find the point(s) on the surface xyz 1 closest to the origin. %3D

A: Given: To find the points on the surface xyz=1 is given as,

Q: 1.5 1 a = 0.5 0 b = -0.5 -1.5 9 C= 4 -2 0 2 For the above plot of the one sheeted hyperboloid (2)² +…

A: To find the values of the parameters of the hyperboloid.

Q: Sketch the section of the surface at y = 0. 4 2 -2 -6 -4 -6 -4 4 6. -61

A:

Q: Identify the quadric surface for the equation y² - x² = 16. a parabolic cylinder a hyperbolic…

A:

Q: q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3…

A:

Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

A:

Q: Sketch the graph of -x + 9y² – 4z² = 36 and identify the surface. %3D

A: Given a function in terms of x, y and z. Here x and y are independent variables and z is a dependent…

Q: the point (2.1). (1.12, 1.25) O(1.19,1.42) (1.17, 1.37) tes

A: The given parabola is y=x2 Let the coordinates of the point be (x,y) The distance   between  the…