If z₁ = 13-101 and 22-15 +91, determine the following: 42₁-522 (Polar Form) COMPLETE THE MISSING THE BLANKS FOR THE FINAL ANSWER:

3. 2.) ( 4x° - 29x - 38) ÷ ( 2x + 3 )

Find the rectangular coordinate of r- -Grsin0,

4. Express (-2/3 + j2) in rectangular form. (j4 +4/3)(2cjs (-35°)) j® (32cjs40°) 5. Let 0= Simplify o and write it in rectangular form.

Express the given complex number in rectangular form (3cjs40) (4cjs80) Answer: a. –6 + 6/3j b 6 + 6/3j c. -6 – 6/3j d. 6 – 6/3j

Find BF

3) Jim rides a second Merry-Go-Round shown below. The distance, d, that Jim is from the wall can be described by the equation d = 38 + 22sin(8t), where t is the number of seconds since Jack was at the Start point. Answer the questions below (just enter the numbers), show ALL work, AND upload your work paper (or show your work) in the next question. The Merry-Go-Round makes one rotation every 45 seconds. Start 22 m 38 m Wall meters a) What is Jim's distance from the wall when t = 41 seconds? Round your answer to the nearest hundredth of a meter. b) The owner of the Merry-Go-Round decides to make the ride more exciting by tripling the rotational speed. Rewrite the equation for d given above to reflect this change. sin(

Help with 1

9. Find the principal root of: 243p¹0 32925 51 V-