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: In Problems 914, find the indicated quantities for y = f(x) = 5x2. 9. x, y, and y/x; given x1 = 1... Problem 10E: In Problems 914, find the indicated quantities for y = f(x) = 5x2. 10. x, y, and y/x; given x1 = 2... Problem 11E: In Problems 914, find the indicated quantities for y = f(x) = 5x2. 11. f(x1+x)f(x1)x; given x1 = 1... Problem 12E: In Problems 914, find the indicated quantities for y = f(x) = 5x2. 12. f(x1+x)f(x1)x; given x1 = 2... Problem 13E: In Problems 914, find the indicated quantities for y = f(x) = 5x2. 13. y/x; given x1 = 1 and x2 = 3 Problem 14E: In Problems 914, find the indicated quantities for y = f(x) = 5x2. 14. y/x; given x1 = 2 and x2 = 3 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: In Problems 2326, find dy for each function. 23. y = (3x 1)2 Problem 24E: In Problems 2326, find dy for each function. 24. y = (2x + 3)2 Problem 25E: In Problems 2326, find dy for each function. 25. y=x25x Problem 26E: In Problems 2326, find dy for each function. 26. y=x29x2 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