MathCAD.page21

MathCAD.page21 - and concave downward. Type your...

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2. BASIC USAGE OF Mathcad 21 You should format the text region so that the color of text is different than math expression. You can choose color for text from Format– > Style select normal and click modify , then change the settings for font. You can do this for headings etc. (1) Define and Graph functions In the project you will do: Define f ( x ) = ( x - 3)( x - 1)( x + 2) Define a range variable x = - 5 , - 4 ··· 5 and find func- tion value at range variable. Find zero of its derivative by perform the following task, [-] define df ( x ) with input df(x):[Shift][/] and en- ter f ( x ) and x in the place holder so you have df ( x ) := d dx f ( x ). [-] Type keyword Given , entering df(x)[Ctrl][=] in next line, and keyword Find following by ( x ), then press [Ctrl][.] [-] Find zeros of its second derivative. Determine intervals where the function is concave upward
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Unformatted text preview: and concave downward. Type your explanation in text regions. Graph the function, its rst derivative, and second derivative in the same plot. Explain the relationship between the signs of its derivatives and concavities of its graph. (2) Matrix Calculation Dene the matrix A = 3-2 4-1 2 1 5-8 22 Find determinant of A by type | A , notice when you type | you will get | | and in enter A . Find inverse of A . Find the solution of the following system of equation 3 x 1-2 x 2 + 4 x 3 = 1-x 1 + 2 x 2 + x 3 = 3 5 x 1-8 x 2 + 22 x 3 = 11 by computing A-1 b where b = 1 3 20 Solve the same system of equations by [-] Enter keyword Given ,...
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