Download PDF by Mark J. Christensen (Auth.): Computing for Calculus

By Mark J. Christensen (Auth.)

ISBN-10: 0123043654

ISBN-13: 9780123043658

Educational Press provides Mark J. Christensen's Computing for Calculus (in paperback), released in 1981

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Hint: Look for common prime factors. 1 PRINTING TABLES OF FUNCTIONS. In this Chapter we begin the study of functions and their behavior. In particular we shall see how to print out tables of functions and perform numerical estimation of derivatives. The programs for the computation of tables of func­ tions can also be used when we come to the graphing of functions using the computer. Suppose that we need to compute a table of values for a function when the independent variable ranges over some interval.

10 ADVANCED INTRINSIC FUNCTIONS functions to one another so it is natural to check the identity LOG(EXP(X))=EXP(LOG(X))=X This program is left as an exercise. As you may already know, or have guessed from the previous program, the LOG function increases very slowly. even more slowly. large STEP. 100 110 120 130 140 150 160 170 180 190 Naturally, the LOG of the LOG will increase Try the following program with a very large Ν and a very Don't forget, you can use the E-format to input large numbers.

3 Compute and compare the values of XtY and EXP(Y*LOG(X)) for various ranges of X and Y. 4 Write a program that inputs an angle in degrees, converts it to radians and then prints SIN, COS and TAN for that angle. 5 Write a program which inputs the coordinates of the three vertices of a triangle and then prints the area of the triangle. 718+X for various values of X and compare the values with those of EXP(X). 11 USER DEFINED FUNCTIONS; THE DEF STATEMENT THE DEF STATEMENT. It often will occur that we will need to use a composite function in our programs.

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Computing for Calculus by Mark J. Christensen (Auth.)

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