Math 149 Lab 3 Exercises

# Math 149 Lab 3 Exercises - these four functions. Plot all...

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Math 149 Lab 3 - Exercises Name: < your name goes here > Section: < your section goes here > Instructions for Exercises 1 and 2 ü (a) Plot a graph of the equation E(x,y) ü (b) Verify that the point P is on the graph ü (c) Find dy/dx implicitly with Mathematica . ü (d) Find the slope of the tangent line to the curve at P ü (3) Plot the curve and and the tangent line on the same set of axes. Exercise 1 ü Sin x y y 2 Cos x , for x in [ -1.5, 1.5 ], and y in [-4, 4] with point P(0,0). Exercise 2 ü y 4  x 2 y 2 , for x in [ -1, 1 ] and y in [-1, 1] with point P ( 3 4 , 3 2 ) ü Solve the equation for y . There will be four (4) solutions, each a function of x. Determine which part of the graph of the equation is the graph of each of

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Unformatted text preview: these four functions. Plot all four solutions on the same graph in different colors. Instructions for Exercise 3 and 4 Let g denote the inverse of f . ü Plot f, g, and the identity function j(x) = x. Include in your plot a label for the two curves: y = f(x) and y = g(x). ü Plot a graph of g and g x in the same coordinate plane. ü Find a formula for the derivative g x in terms of x and g[x]. Exercise 3 ü f x 1 x x 2 x 3 for x in [ -1, 3/2 ] Find g 2 . Exercise 4 ü f[x] ä x + Sin[x] for x in [ 3 4 , 3 4 ] Find g 1 2 . 2 Math 149 Lab 3 Exercises.nb...
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Math 149 Lab 3 Exercises - these four functions. Plot all...

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