Find an equation of the tangent plane to the surface at the given point. x² + y2 – 5z2 = 140, (-8, -9, 1)

Q: Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with…

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Q: Find parametric equations for the line of slope 2 that passes through the point 13, 52 .

A: Equation of line in the parametric form form when it is passes through point x1,y1 and slope 'r' is…

Q: a circle is tangent to the line 2x-y+1=0 at the point (2,5) and the center is on the line x+y=9.…

A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and…