DPT Diagnostic Prerequisite Test 1 Functions And Graphs 2 Limits And The Derivative 3 Additional Derivative Topics 4 Graphing And Optimization 5 Integration 6 Additional Integration Topics 7 Multivariable Calculus 8 Trigonometric Functions 9 Differential Equations 10 Taylor Polynomial And Infinite Series 11 Probability And Calculus A.1 Real Numbers A.2 Operations On Polynomials A.3 Factoring Polynomials A.4 Operations On Rational Expressions A.5 Integer Exponents And Scientific Notation A.6 Rational Exponents And Radicals A.7 Quadratic Equations B.1 Sequences, Series, And Summation Notation B.2 Arithmetic And Geometric Sequences B.3 Binomial Theorem B.4 Interpolating Polynomials And Divided Differences expand_more
6.1 Areas Between Curves 6.2 Application In Business And Economics 6.3 Integration By Parts 6.4 Other Integration Methods Chapter Questions expand_more
Problem 1MP: Use the trapezoidal rule with n = 5 to approximate 2481+x5dx (round function values to four decimal... Problem 2MP: Use Simpsons rule with n = 2 to approximate 2101lnxdx (round function values to four decimal places... Problem 3MP Problem 4MP Problem 5MP: Find 9x216dx. Problem 6MP: Find xx4+1dx. Problem 7MP Problem 8MP: Find the consumers surplus at a price level of 10 for the price-demand equation p=D(x)=20x8,000x500 Problem 1ED: Let f(x) = x + 5 on the interval [0, 12]. (A) Use the trapezoidal rule to calculate T3 and T6. How... Problem 1E: A In Problems 18, round function values to four decimal places and the final answer to two decimal... Problem 2E: A In Problems 18, round function values to four decimal places and the final answer to two decimal... Problem 3E: A In Problems 18, round function values to four decimal places and the final answer to two decimal... Problem 4E: A In Problems 18, round function values to four decimal places and the final answer to two decimal... Problem 5E: A In Problems 18, round function values to four decimal places and the final answer to two decimal... Problem 6E: A In Problems 18, round function values to four decimal places and the final answer to two decimal... Problem 7E: A In Problems 18, round function values to four decimal places and the final answer to two decimal... Problem 8E: A In Problems 18, round function values to four decimal places and the final answer to two decimal... Problem 9E: Use Table 1 on pages 547-549 to find each indefinite integral in Problems 922. 9. 1x(1+x)dx Problem 10E Problem 11E: Use Table 1 on pages 547-549 to find each indefinite integral in Problems 922. 11. 1(3+x)2(5+2x)dx Problem 12E Problem 13E: Use Table 1 on pages 547-549 to find each indefinite integral in Problems 922. 13. x16+xdx Problem 14E Problem 15E: Use Table 1 on pages 547-549 to find each indefinite integral in Problems 922. 15. 1x1x2dx Problem 16E Problem 17E: Use Table 1 on pages 547-549 to find each indefinite integral in Problems 922. 17. 1xx2+4dx Problem 18E Problem 19E: Use Table 1 on pages 547-549 to find each indefinite integral in Problems 922. 19. x2lnxdx Problem 20E Problem 21E: Use Table 1 on pages 547-549 to find each indefinite integral in Problems 922. 21. 11+exdx Problem 22E: Use Table 1 on pages 547-549 to find each indefinite integral in Problems 922. 22. 15+2e3xdx Problem 23E: Evaluate each definite integral in Problem 2328. Use Table 1 on pages 547-549 to find the... Problem 24E: Evaluate each definite integral in Problem 2328. Use Table 1 on pages 547-549 to find the... Problem 25E: Evaluate each definite integral in Problem 2328. Use Table 1 on pages 547-549 to find the... Problem 26E Problem 27E: Evaluate each definite integral in Problem 2328. Use Table 1 on pages 547-549 to find the... Problem 28E: Evaluate each definite integral in Problem 2328. Use Table 1 on pages 547-549 to find the... Problem 29E: Use the trapezoidal rule with n = 5 to approximate 313x2dx and use the fundamental theorem of... Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E Problem 39E: In Problem 3950, use substitution techniques and Table 1 to find each indefinite integral. 39.... Problem 40E: In Problem 3950, use substitution techniques and Table 1 to find each indefinite integral. 40.... Problem 41E: In Problem 3950, use substitution techniques and Table 1 to find each indefinite integral. 41.... Problem 42E Problem 43E: In Problem 3950, use substitution techniques and Table 1 to find each indefinite integral. 43.... Problem 44E Problem 45E: In Problem 3950, use substitution techniques and Table 1 to find each indefinite integral. 45.... Problem 46E: In Problem 3950, use substitution techniques and Table 1 to find each indefinite integral. 46.... Problem 47E: In Problem 3950, use substitution techniques and Table 1 to find each indefinite integral. 47.... Problem 48E Problem 49E: In Problem 3950, use substitution techniques and Table 1 to find each indefinite integral. 49.... Problem 50E: In Problem 3950, use substitution techniques and Table 1 to find each indefinite integral. 50.... Problem 51E Problem 52E Problem 53E: In Problems 5156, use Table 1 to find each indefinite integral. 53. x3exdx Problem 54E: In Problems 5156, use Table 1 to find each indefinite integral. 54. x3e2xdx Problem 55E: In Problems 5156, use Table 1 to find each indefinite integral. 55. (lnx)3dx Problem 56E Problem 57E: Problems 5764 are mixedsome require the use of Table 1, and others can be solved with techniques... Problem 58E: Problems 5764 are mixedsome require the use of Table 1, and others can be solved with techniques... Problem 59E Problem 60E: Problems 5764 are mixedsome require the use of Table 1, and others can be solved with techniques... Problem 61E: Problems 5764 are mixedsome require the use of Table 1, and others can be solved with techniques... Problem 62E Problem 63E: Problems 5764 are mixedsome require the use of Table 1, and others can be solved with techniques... Problem 64E: Problems 5764 are mixedsome require the use of Table 1, and others can be solved with techniques... Problem 65E: If f(x) = ax2 + bx + c, where a, b, and c are any real numbers, use Simpsons rule with n = 1 (so... Problem 66E: If f(x) = ax3 + bx2 + cx + d, where a, b, c, and d are any real numbers, use Simpsons rule with n =... Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 72. Producers'... Problem 73E Problem 74E Problem 75E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 75.Cost. A company... Problem 76E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 76. Cost. A... Problem 77E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 77. Continuous... Problem 78E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 78. Continuous... Problem 79E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 79. Income... Problem 80E Problem 81E Problem 82E Problem 83E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 83. Marketing.... Problem 84E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 84. Average price.... Problem 85E Problem 86E Problem 87E Problem 88E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 88. Revenue. The... Problem 89E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 89. Pollution. An... Problem 90E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 90. Pollution. The... Problem 91E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 91. Learning. A... Problem 92E: Use Table 1 to evaluate all integrals involved in any solutions of Problems 7194. 92. Politics. The... Problem 93E Problem 94E format_list_bulleted