Find the tangent plane to the surface determined by z = x√y for (x, y) = (1, 4). (Hint: You mustfirst calculate the value of z at the given point.
Question
Solution 1
Step 1: Calculate the value of z at the given point (x, y) = (1, 4)
We have the equation z = x√y. Substituting x = 1 and y = 4, we get:
z = 1√4 = 1*2 = 2
So, the point in 3D space is (1, 4, 2).
Step 2: Find the partial derivatives of the function
The partial derivative of z with respect to x is Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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