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IIT MATH 149 - Math 149 Lab 3 Exercises

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Math 149 Lab 3 - ExercisesName: < your name goes here >Section: < your section goes here >Instructions for Exercises 1 and 2ü (a) Plot a graph of the equation E(x,y)ü (b) Verify that the point P is on the graphü (c) Find dy/dx implicitly with Mathematica.ü (d) Find the slope of the tangent line to the curve at Pü (3) Plot the curve and and the tangent line on the same set of axes.Exercise 1ü Sinx  y  y2Cosx, for x in [ -1.5, 1.5 ], and y in [-4, 4] with point P(0,0).Exercise 2ü y4x2 y2, for x in [ -1, 1 ] and y in [-1, 1] with point P ( 34 , 32 )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 ofthese four functions. Plot all four solutions on the same graph in different colors.Instructions for Exercise 3 and 4Let 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 3ü fx  1  x  x2 x3 for x in [ -1, 3/2 ]Find g2.Exercise 4ü f[x]ä x + Sin[x] for x in [ 3 4 , 3 4 ]Find g1 2.2 Math 149 Lab 3


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IIT MATH 149 - Math 149 Lab 3 Exercises

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