clear steps for more understanding thank you

Here Is The Story ' that happened to you earlier... but now you're on board the spaceship #1948569145, and the captain is asking to solve tricky "ZP" (Z Planet) problem (you know what it means when captain is "asking"... that's an order): 90 229 (!!! when possible and applicable, do not use decimals/ calculator. Present fractions in an exact format, for example, 107 ' 187 Now, here are the problem settings. A new generation of space shuttles, "Galaxy Ships", are designed for exploration of the farthest "corners of the Universe". One of the numerous challenges for them is avoiding electromagnetic (EM) "bumps on the road", the areas in space with extremely high or low (both dangerous) EM induction. We can't just "avoid" the areas by steering away because "high" and "low" are often neighboring, so avoiding one of them brings you right to the other. The suggested strategy is to "glide along the surface", i.e. always steer the ship along... tangent plane to 3D boundary of the anomaly. Given the "3D boundary of the anomaly" z = 31 + 4y* + 2y , your job is to find the tangent plane equation at a particular point ( - 1, 3, 45) . d !!! The challenge is that the easiest differentiation rule on Earth, -x" = ne", in the vicinity of Z- Planet is "twisted" as the following: d r" = n2x -1 -const = 0 , and the other rules have not been changed). Find the tangent plane to the equation z = 3x + 4y + 2y at the point ( - 1, 3, 45) for Z-Planet conditions