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Calculus · Studypool

Calculus Question

Overview

For this assignment, you will:

  • Describe and recognize curves using their parametric formulas, and compute their lengths
  • Describe and recognized functions of 2 variables using their graphs and contour plots, compute limits, and verify continuity of functions of 2 variables
  • Compute partial derivatives, directional derivatives, and gradients, both directly and using the chain rule and dot product method.
  • Use derivatives to approximate functions and look for local/global maxima/minima using the second derivative test, Lagrange multipliers, and gradient descent.

My professor will be conducting a verbal assessment. He will pick any three of the 11 attached questions and I am required to answer verbally. This is only a 5 minute verbal assessment, so please be concise in your answers. Please answer the questions with simple explanations and a summary that I can easily memorize and explain to my professor.

Thank you!