The assignment is to draw a contour diagram of an ordinary object of your choosing. the object should be somewhat a) the diagram should show the origin and at least 10 b) pick a point and calculate/estimate a directional irregularly shaped. contours. derivative in a direction of your choosing. while you are doing this, contemplate the thought that calculus is largely about how to measure quantitative change, and be sure to use units in your calculations. c) attach a photograph of the object. d) calculate/estimate the gradient at the same point. how does the gradient compare numerically to your directional derivative? how are the gradient and the level curve positioned with respect to each other? strive for accuracy, clarity, and focus. hopefully, this exercise will reveal a deep and technical understanding of the directional derivative. also, the word "slant" may come to have an enhanced meaning: that our understanding of it depends in large part on the direction in which we are looking. finally, try to enjoy the process of measuring, drawing, and thinking in this mathematical way!