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31 To create a symbolic function f(t) = sin(t) the best command to use is: (a) syms t; f = sin(t); (b) syms t; f = sin( t ); (c) syms t; f = sin(t) ; (d) a or c 32 To plot a symbolic function f you call: (a) quickplot( f ) (b) symplot( f ) (c) ezplot( f ) (d) plot( f, symbolic ) 33 You want to use ezplot to generate a graph of a function f and its second derivative on the same graph The correct command is: (a) ezplot( f, diff( f, 2)) (b) subplot(1, 2, 1); ezplot( f ) subplot(1, 2, 2); ezplot(diff( f, 2)) (c) ezplot( f ); hold on ezplot(diff( f, 2)) (d) ezplot( f ); hold; ezplot(diff( f, 2)); 34 You want to use ezplot to generate a graph of a function f and its second derivative in side-by-side plots The correct command is: (a) subplot(1, 2, 1); ezplot( f ) subplot(1, 2, 2); ezplot(diff( f, 2)) (b) ezplot(subplot(1, f ), subplot(2, diff( f, 2)) (c) ezplot( f ); hold on ezplot(diff( f, 2)) 35 You have created a symbolic function f To display its third derivative, you can write: (a) f (b) f or diff( f, 3) (c) derivative( f, 3) (d) diff( f, 3) 36 The polyfit(x, y, n) function returns (a) A symbolic polynomial function that fits to a set of data passed as an array (b) The coefficients of a fitting polynomial of degree n in order of decreasing powers

Lattices use their own local coordinate system, referred to as STU The lattice can be subdivided along the S, T, and U axes by editing the S, T, and U Divisions attributes in the Channel Box or the Attribute Editor Each point on the lattice can deform the surface it is controlling with an influence that is based on the number of divisions In other words, if the lattice had four divisions in the S direction, and if the Local Mode box is unchecked in the Lattice Options window (Deform | Create Lattice r), as shown in the illustration, the vertices on the lattice have influence over the entire object By default, when you create a lattice, its transform node is not connected to the object it surrounds Therefore, if you move the object, the lattice will not move with it To remedy this, you can choose options in the Lattice tool s Options window that allow you either to parent the lattice to the object or group the objects together (the Parenting check box and Grouping check box, respectively) The lattice options can be reset or any tweaks can be removed by choosing Edit Lattice | Reset Lattice or Edit Lattice | Remove Lattice Tweaks, respectively When you are finished with the lattice, you can select the geometry and then delete the history This removes the lattice and keeps any modifications made to the geometry

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Clusters are essentially a way to assign a transform node to a group of vertices When the cluster is transformed, the vertices of the affected object will follow While this is quite useful on its own, the real power of clusters is the ability to adjust the influence of the cluster on each vertex in the cluster s set Like lattices, using clusters is a great tool for making tweaks to geometry Figure 8-4 shows a cluster being used to edit the geometry of the upper lip to create a sneer expression; the cluster is being moved upward to create the expression Since eventually we want to have several different facial expressions, duplicate the original charHead_baseGeo object and rename it charHead_LTUpperLip This is the object we will modify To create a cluster, select a group of vertices that you wish to edit In this case we chose

8

(c) The coefficients of a fitting polynomial of degree n in order of increasing powers (d) An array of data points which evaluate the fitted polynomial at the points specified by the array x 37 The subplot command (a) Allows you to generate several plots contained in the same figure (b) Allows you to plot multiple curves on the same graph (c) MATLAB does not have a subplot command 38 Calling subplot(m, n, p) (a) Divides a figure into an array of plots with m rows and n columns, putting the current plot at pane p (b) Plots curve n against m in pane p (c) Plots curve p at location (row, column) = (m, n) (d) MATLAB does not have a subplot command

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