Problem 1CP Problem 2CP Problem 3CP: Check Point 3 Divide and express the result in; standard form: 5+4i4i. Problem 4CP: Check Point 4 Perform the indicated operations and write the result in standard form:... Problem 5CP: Check Point 5 Solve using the quadratic formula:
Problem 1CVC: Fill in each blank so that the resulting statement is true. The imaginary unit i is defined as i =... Problem 2CVC: Fill in each blank so that the resulting statement is true.
2. The set of all numbers in the form ... Problem 3CVC: Fill in each blank so that the resulting statement is true.
3.
Problem 4CVC: Fill in each blank so that the resulting statement is true.
4. .
Problem 5CVC: Fill in each blank so that the resulting statement is true.
5. Consider the following multiplication... Problem 6CVC: Fill in each blank so that the resulting statement is true.
6. The conjugate of .
Problem 7CVC Problem 8CVC: Fill in each blank so that the resulting statement is true. 20=20=45= Problem 9CVC: Fill in each blank so that the resulting statement is true. 9.x=44242522 simplifies to x=. Problem 1PE Problem 2PE Problem 3PE Problem 4PE Problem 5PE Problem 6PE Problem 7PE Problem 8PE Problem 9PE Problem 10PE Problem 11PE Problem 12PE Problem 13PE Problem 14PE Problem 15PE Problem 16PE Problem 17PE: In Exercises 9-20, find each product and write the result in standard form. 17.(5+i)(5i) Problem 18PE: In Exercises 9-20, find each product and write the result in standard form. 18.(7i)(7+i) Problem 19PE: In Exercises 9-20, find each product and write the result in standard form.
Problem 20PE: In Exercises 9-20, find each product and write the result in standard form. 20.(52i)2 Problem 21PE: In Exercises 21-28, divide and express the result in standard form. 21.23i Problem 22PE: In Exercises 21-28, divide and express the result in standard form. 22.34+i Problem 23PE: In Exercises 21-28, divide and express the result in standard form. 23.2i1+i Problem 24PE: In Exercises 21-28, divide and express the result in standard form.
Problem 25PE: In Exercises 21-28, divide and express the result in standard form.
Problem 26PE: In Exercises 21-28, divide and express the result in standard form.
Problem 27PE: In Exercises 21-28, divide and express the result in standard form.
.
Problem 28PE: In Exercises 21-28, divide and express the result in standard form. 28.34i4+3i Problem 29PE: In Exercises 29-44, perform the indicated operations and write the result in standard form. 29.6425 Problem 30PE: In Exercises 29-44, perform the indicated operations and write the result in standard form. 81-144 Problem 31PE: In Exercises 29-44, perform the indicated operations and write the result in standard form.
31.
Problem 32PE: In Exercises 29-44, perform the indicated operations and write the result in standard form. 58+318 Problem 33PE: In Exercises 29-44, perform the indicated operations and write the result in standard form. (2+4)2 Problem 34PE: In Exercises 29-44, perform the indicated operations and write the result in standard form. (59)2 Problem 35PE: In Exercises 29-44, perform the indicated operations and write the result in standard form. (37)2 Problem 36PE: In Exercises 29-44, perform the indicated operations and write the result in standard form.
36.
Problem 37PE: In Exercises 29-44, perform the indicated operations and write the result in standard form.
37.
Problem 38PE: In Exercises 29-44, perform the indicated operations and write the result in standard form.
38.
Problem 39PE: In Exercises 29-44, perform the indicated operations and write the result in standard form.
39.
Problem 40PE: In Exercises 29-44, perform the indicated operations and write the result in standard form.
40.
Problem 41PE: In Exercises 29-44, perform the indicated operations and write the result in standard form.
41.
Problem 42PE: In Exercises 29-44, perform the indicated operations and write the result in standard form. 12(42) Problem 43PE: In Exercises 29-44, perform the indicated operations and write the result in standard form.... Problem 44PE: In Exercises 29-44, perform the indicated operations and write the result in standard form.
44.
Problem 45PE: In Exercises 45-50, solve each quadratic equation using the quadratic formula. Express solutions in... Problem 46PE: In Exercises 45-50, solve each quadratic equation using the quadratic formula. Express solutions in... Problem 47PE: In Exercises 45-50, solve each quadratic equation using the quadratic formula. Express solutions in... Problem 48PE: In Exercises 45-50, solve each quadratic equation using the quadratic formula. Express solutions in... Problem 49PE: In Exercises 45-50, solve each quadratic equation using the quadratic formula. Express solutions in... Problem 50PE: In Exercises 45-50, solve each quadratic equation using the quadratic formula. Express solutions in... Problem 51PE Problem 52PE Problem 53PE Problem 54PE Problem 55PE: The Exercises 51-56, perform the indicated operation(s) and write the result in standard form.
45.
Problem 56PE: The Exercises 51-56, perform the indicated operation(s) and write the result in standard form.
56.
Problem 57PE: Evaluate
Problem 58PE: 58. Evaluate .
Problem 59PE: 59. Evaluate
Problem 60PE: Evaluate x2+113xforx=4i Problem 61PE: Complex numbers are used in electronics to describe the current ***electric circuit. Ohm’s law... Problem 62PE: Complex numbers are used in electronics to describe the current ***electric circuit. Ohm’s law... Problem 63PE: The mathematician Girolamo Cardano is credited with the first use (in 1545) of negative square roots... Problem 64PE: 64. What is i?
Problem 65PE: Explain how to add complex numbers. Provide an example with your explanation. Problem 66PE Problem 67PE: What is the complex conjugate of 2 + 3i ? What happens when you multiply this complex number by its... Problem 68PE Problem 69PE: 69. Explain each of the three jokes in the cartoon on page 308.
Problem 70PE: stand-up comedian uses algebra in some jokes, including one about a telephone recording that... Problem 71PE: Explain the error in Exercises 71-72.
71.
Problem 72PE: Explain the error in Exercises 71-72. (9)2=99=81=9 Problem 73PE: Make Sense ? In Exercises 73-76, determine whether each statement makes sense or does not make... Problem 74PE: Make Sense ? In Exercises 73-76, determine whether each statement makes sense or does not make... Problem 75PE: Make Sense ? In Exercises 73-76, determine whether each statement makes sense or does not make... Problem 76PE: Make Sense? In Exercises 73-76, determine whether each statement makes sense or does not make sense,... Problem 77PE: In Exercises 77-80, determine whether each statement is true or false. If the statement is false,... Problem 78PE: In Exercises 77-80, determine whether each statement is true or false. If the statement is false,... Problem 79PE: In Exercises 77-80, determine whether each statement is true or false. If the statement is false,... Problem 80PE: In Exercises 77-80, determine whether each statement is true or false. If the statement is false,... Problem 81PE Problem 82PE Problem 83PE: In Exercises 81-83, perform the indicated operations and write the result in standard form.
83.
Problem 84PE: Use the graph of y=f(x) to solve Exercises 84-86. Find the domain and the range of f. (Section 1.2,... Problem 85PE: Use the graph of to solve Exercises 84-86.
85. For what value(s) of x is
(Section 1.2, Example... Problem 86PE: Use the graph of y=f(x) to solve Exercises 84-86. Graph g(x)=f(x1)+1 (Section 1.6, Example 8) Problem 87PE: Exercises 87-89 will help you prepare for the material covered in the next section.
In Exercises... Problem 88PE: Exercises 87-89 will help you prepare for the material covered in the next section.
In Exercises... Problem 89PE: Exercises 87-89 will help you prepare for the material covered in the next section.
89. Use the... format_list_bulleted