Find an equation for the surface generated by revolving the curve about the y-axis. y = 11x ,(z = 0) O x² = y² - 112? O x = 11y + 11z? O x = 11y – 11z? O y? = 11x² + z² O y = 11x + 11z? |

Q: Find the equation of the tangent plane to the surface z = 4x² + 7y² + 9xy at the point (1, -2, 14).…

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Q: 32²+62-4x-3y+2=0. 1. identify the surface: Present a well-defined sketch of the surface.

A: Given, the surface               2x2-3z2+6z-4x-3y+2=0

Q: Find the equation of the tangent plane to the surface z=e-4x/17ln(1y) at the point (-3, 4, 2.808).…

A: The given function is z=e-4x17lny and the given point is P-3,4,2.808. We know that the tangent plane…

Q: The r- intercept of the surface 2r2 + 6y² – 3:² = 8 is equal to c.(+2, 0, 0) d. (±3, 0,0)…

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Q: 6. What is the equation for the slope of the ellipse+= 1 at (x₁, yi)? A. B. C. D. E. y' = y' = b²y₁…

A: We have to find the equation of the slope of ellipse at the point (x1,y1).

Q: Explained every step

A: The given equation of the surface is  x2 + 2y2 + z2 − 4x + 4y − 2z + 3 = 0.   The general equation…

Q: Sketch and identify the surface given by x2 + 4y + 4z2 = 0.

A: Equation of the surface is given by:x2+4y+4z2=0 we need to identity the surface and hence sketch the…

Q: The slope of the surface z = ry² in the r-direction at the point (2,3) is slope of this surface in…

A: The slopes of the surface: z=f(x, y) in the x, y directions at x0, y0 are fxx0, y0, fyx0, y0.

Q: Find an equation of the surface of revolution obtained by revolving the plane curve 4x² – y² = 4…

A: The given equation of plane curve is 4x2-y2=4. Since the plane curve is rotated about x-axis,…

Q: 16. Consider the equation of the surface S given by z = 3r*ya + 3y – 4 Where a is an even number and…

A: Linear approximate equation is the equation of tangent plane.

Q: Q4 The path of a particle in the xy-plane can be modelled by the parametric equations .x=2+ cost and…

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Q: Write the equation for the surface generated by revolving the curve x2 - 2y2 = 1 about the y-axis.…

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Q: Find the equation for the tangent plane to the surface -3x+ 9y -7z = -26 at the point (1,-1, Lütfen…

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Q: Find the equation for the tangent plane to the surface z= 7x2. 10y² at the point (2, 1, 18). O 2x +…

A: Equation for the tangent plane to the surface z=f(x, y) at the point (a, b, f(a, b)) is given by

Q: The equation of the line tangent to the intersection of two surfaces 2 = a2 and z 25- y? at the…

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Q: Find the equation for the tangent plane to the surface z = - 9x - 7y at the point (2, 1, - 43). O A.…

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Q: Find an equation of the tangent plane to the surface at the given point. x²+²-72²-38, (-3, -6, 1)

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Q: Determine an equation for a cosine function with adjacent maximum at (60°, 5) and minimum at (150°,…

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Q: the indicated coordinate plane about the given axis. Equation of Curve Coordinate Plane Axis of…

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