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 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 expand_more
2.1 Introduction To Limits 2.2 Infinite Limits And Limits At Infinity 2.3 Continuity 2.4 The Derivative 2.5 Basic Differentiation Properties 2.6 Differentials 2.7 Marginal Analysis In Business And Economics Chapter Questions expand_more
Problem 1MP: Matched Problem 1 Given the function y = f(x) = x2 + 1, (A) Find x, y, and y/x for x1 = 2 and x2 =... Problem 2MP: Matched Problem 2 Find dy for f(x)=x+3. Evaluate dy for (A) x = 4 and dx = 0.1 (B) x = 9 and dx =... Problem 3MP: Matched Problem 3 Repeat Example 3 for x = 4 and x = dx = 0.1, 0.2, and 0.3. EXAMPLE 3 Comparing... Problem 4MP: Matched Problem 4 Repeat Example 4 with production increasing from 6,000 to 6,010. EXAMPLE 4... Problem 1ED Problem 1E Problem 2E: In Problems 14, let f(x) = 0.1x + 3 and find the given values without using a calculator. (If... Problem 3E Problem 4E: In Problems 14, let f(x) = 0.1x + 3 and find the given values without using a calculator. (If... Problem 5E: In Problems 58, let g(x) = x2 and find the given values without using a calculator. 5. g(0); g(0.1) Problem 6E Problem 7E: In Problems 58, let g(x) = x2 and find the given values without using a calculator. 7. g(10);... Problem 8E Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E: In Problems 1520, find dy for each function. 15. y = 30 + 12x2 x3 Problem 16E: In Problems 1520, find dy for each function. 16. y=200xx230 Problem 17E: In Problems 1520, find dy for each function. 17. y=x2(1x9) Problem 18E: In Problems 1520, find dy for each function. 18. y = x3(60 x) Problem 19E: In Problems 1520, find dy for each function. 19. y=590x Problem 20E: In Problems 1520, find dy for each function. 20. y=52x Problem 21E: In Problems 21 and 22, find the indicated quantities for y = f(x) = 3x2. 21. (A) f(2+x)f(2)x... Problem 22E: In Problems 21 and 22, find the indicated quantities for y = f(x) = 3x2. 22. (A) f(3+x)f(3)x... Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E: In Problems 2730, evaluate dy and y for each function for the indicated values. 27. y = f(x) = x2 ... Problem 28E: In Problems 2730, evaluate dy and y for each function for the indicated values. 28. y = f(x) = 30 +... Problem 29E: In Problems 2730, evaluate dy and y for each function for the indicated values. 29. y=f(x)=75(12x);... Problem 30E: In Problems 2730, evaluate dy and y for each function for the indicated values. 30.... Problem 31E: A cube with 10-inch sides is covered with a coat of fiberglass 0.2 inch thick. Use differentials to... Problem 32E: A sphere with a radius of 5 centimeters is coated with ice 0.1 centimeter thick. Use differentials... Problem 33E: In Problems 3336, (A) Find y and dy for the function f at the indicated value of x. (B) Graph y and... Problem 34E: In Problems 3336, (A) Find y and dy for the function f at the indicated value of x. (B) Graph y and... Problem 35E: In Problems 3336, (A) Find y and dy for the function f at the indicated value of x. (B) Graph y and... Problem 36E: In Problems 3336, (A) Find y and dy for the function f at the indicated value of x. (B) Graph y and... Problem 37E: In Problems 3740, discuss the validity of each statement. If the statement is always true, explain... Problem 38E: In Problems 3740, discuss the validity of each statement. If the statement is always true, explain... Problem 39E: In Problems 3740, discuss the validity of each statement. If the statement is always true, explain... Problem 40E: In Problems 3740, discuss the validity of each statement. If the statement is always true, explain... Problem 41E: Find dy if y=(12x)x23. Problem 42E Problem 43E: Find dy and y for y=52x, x = 4, and x = dx = 0.3. Problem 44E Problem 45E: Use differential approximations in the following problems. 45. Advertising. A company will sell N... Problem 46E: Use differential approximations in the following problems. 46. Pricedemand. Suppose that the daily... Problem 47E: Use differential approximations in the following problems. 47. Average cost. For a company that... Problem 48E: Use differential approximations in the following problems. 48. Revenue and profit. A company... Problem 49E: Use differential approximations in the following problems. 49. Pulse rate. The average pulse rate y... Problem 50E: Use differential approximations in the following problems. 50. Measurement. An egg of a particular... Problem 51E: Use differential approximations in the following problems. 51. Medicine. A drug is given to a... Problem 52E Problem 53E: Use differential approximations in the following problems. 53. Learning. A particular person... Problem 54E: Use differential approximations in the following problems. 54. Learning. If a person learns y items... Problem 55E: Use differential approximations in the following problems. 55. Politics. In a new city, the voting... format_list_bulleted