Find equations of the tangent plane and the normal line for the level surface 2xy2 −...

Find equations of the tangent plane and the normal line for the level surface 2xy2 − 3yz2 + xyz = −40 at the point (1, 2, 3).

Expert Solution

The answer sheet has two pages.it is the first pagesecond /last page

milcah answered 2 years ago

Find the equation of the tangent plane and the parametric equations for the normal line to...

Find the equation of the tangent plane and the parametric equations for the normal line to the surface x2 + y2 - z = 0 at the point P(4,-1, 6). Show all steps

Find the equations for the tangent line and the normal line to the curve x^2 +...

Find the equations for the tangent line and the normal line to the curve x^2 + arcsin(x + y − 1) = y^2sqrt(8x) at the point (2, −1)..

1. Given parametric equations below, find dy/dx , equations of the tangent and normal line at...

1. Given parametric equations below, find dy/dx , equations of the tangent and normal line at the given point. (a) x = t^2 , y = t^3−3t at t = 1 (b) x = cos(t), y = sin(2t) at t = π/4 2. ) Given parametric equations below, find d^2y/dx^2 and determine the intervals on which the graph of the curve is concave up or concave down. (a) x = t^2 , y = t^3−3t (b) x = cos(t), y...

12a Find an equation of the tangent plane to the surface ? = 2? 2 +...

12a Find an equation of the tangent plane to the surface ? = 2? 2 + ? 2 − 5?, ?? (1, 2, −4). 12b If ? = ? 2 − ?? + 3? 2 and (?, ?) changes from (3, −1) to (2.96, −0.95), compare ∆? and ??. Calculus 3 question. Please help.

Find parametric equations for the tangent line to the curve with the given parametric equations at...

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

2. (a) Find an equation of the tangent plane to the surface x4 +y4 +z4 =...

2. (a) Find an equation of the tangent plane to the surface x4 +y4 +z4 = 18 at (2, 1, 1). Find a derivative in direction (2,2,1) at point (2,1,1). (b) Use Lagrange multipliers to ﬁnd the minimum and maximum values of f(x,y,z) = 8x + y + z on the surface x4 + y4 + z4 = 18.

1. Find an equation for the line in the xy−plane that is tangent to the curve...

1. Find an equation for the line in the xy−plane that is tangent to the curve at the point corresponding to the given value of t. Also, find the value of d^2y/dx^2 at this point. x=sec t, y=tan t, t=π/6 2. Find the length of the parametric curve: x=cos t, y=t+sin t, 0 ≤ t ≤ π. Hint:To integrate , use the identity, and complete the integral.

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