-: Show that -1+i√3 =1 for all combination of signs.

Q: e" + 2 dr e# + 2x 18.

A: Explanation of the answer is as follows

Q: 11. Find the values of the real numbers x and y if (x- 4i) – (3 – i) = 6 + yi. तद A. x = 3, y =-5 B.…

A: Consider the given complex equation, x-4i-3-i=6+yi simplify the equation as follows,…

Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;…

Q: 2√128

A: To simplify the following expression. 2128

Q: (- 1)"(品 2n +1

A:

Q: Factor each expression completely. (a) 3x2 – 13x + 4 | (b) 3 cos2 0 – 13 cos 0 + 4

A: (a) part  Consider the given expression  3 x2-13 x+4 Then, 3 x2-13 x+4=3 x2-x-12 x+4=3 x2-x-12…

Q: Explain the difference between the quantities (Σxi)2 and Σx2 i . Construct an example to show that,…

A: The (Σxi)2 represents the square value of the sum of the data, while Σx2 i is the sum of squared…

Q: 5 √O r=1+3 cos(30) (-/-) r= - r = 5 sin V r = 0 sin(0) a. + T b. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬ a 5. 9 Q

A: Consider the polar equations 1.

Q: (2-2i√3)4 Write the answer in standard form.

A:

Q: Prove: (a) 2ab <a² + b²; (b) ab + ac + bc < a² + b² + c².

A: According to the given information, it is required to prove the following. For part (a)