In Exercises 1–8, add or subtract as indicated and write the result in standard form. (7 + 2i) + (1 − 4i)

In Exercises 1–8, add or subtract as indicated and write the result in standard form. (3 + 2i) − (5 − 7i)

In Exercises 1–8, add or subtract as indicated and write the result in standard form. 6 − (−5 + 4i) − (−13 − i)

In Exercises 21–28, divide and express the result in standard form.

2+3i / 2+i

In Exercises 37–52, perform the indicated operations and write the result in standard form.

√(−8) (√(−3) − √5 )

In Exercises 37–52, perform the indicated operations and write the result in standard form.

(3√(−5) )( −4√(−12) )

Evaluate x²+19 / 2−x for x = 3i.

Evaluate x² − 2x + 2 for x = 1 + i.

In Exercises 53–58, perform the indicated operation(s) and write the result in standard form. ___ ___ 5√(−16) + 3√(−81)

In Exercises 37–52, perform the indicated operations and write the result in standard form.

( −6 − √(−12)) / 48

In Exercises 53–58, perform the indicated operation(s) and write the result in standard form. (2 + i)² − (3 − i)²

In Exercises 29–36, simplify and write the result in standard form.

√3² − 4 ⋅ 2 ⋅ 5

In Exercises 53–58, perform the indicated operation(s) and write the result in standard form. (2 − 3i)(1 − i) − (3 − i)(3 + i)

In Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t. x = 2 + 3 cos t, y = 4 + 2 sin t; t = π

In Exercises 1–8, add or subtract as indicated and write the result in standard form. 8i − (14 − 9i)

In Exercises 9–20, find each product and write the result in standard form. −3i(7i − 5)

Find each product and write the result in standard form. (−5 + 4i)(3 + i)

In Exercises 9–20, find each product and write the result in standard form. (7 − 5i)(−2 − 3i)

In Exercises 9–20, find each product and write the result in standard form.

(3 + 5i)(3 − 5i)

In Exercises 9–20, find each product and write the result in standard form. (−5 + i)(−5 − i)

In Exercises 9–20, find each product and write the result in standard form. (2 + 3i)²

In Exercises 21–28, divide and express the result in standard form. 2 / 3 - i

In Exercises 21–28, divide and express the result in standard form.

3 / 4+i

In Exercises 21–28, divide and express the result in standard form. 8i / 4−3i

In Exercises 29–36, simplify and write the result in standard form. ___ √−49

In Exercises 29–36, simplify and write the result in standard form.

√−196

In Exercises 29–36, simplify and write the result in standard form. ____ √−108

In Exercises 29–36, simplify and write the result in standard form. ____________ √1² − 4 ⋅ 0.5 ⋅ 5

In Exercises 37–52, perform the indicated operations and write the result in standard form. ___ ___ √−64 − √−25

In Exercises 37–52, perform the indicated operations and write the result in standard form. ___ ___ 5√−16 + 3√−81