-: 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: (2+3i)2=

A:

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: (j4 +43)(2cjs(-35°))" . Let w= (32cjs40°) - Simplify o and write it in rectangular form.

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: evaluate det(A) by a cofactor expression along a row or column of your choice

A:

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: Simplify the following expressions: (5-j6)-(2+j8) (-3+ j4)(5-j)+(4-j6) (a)

A: To Simplify: (a) (5-6j)-(2+8j)(-3+4j)(5-j)+(4-6j). As per policy, only the first part is answered,…

Q: In the given figure, suppose M2TUV=(4x-8)° and mzTSV= (x+16)°. Show that mzTSV is hal of M TUV. * S…

A:

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: The conjugate of -4 -3i is............

A:

Q: Find all root s 3- V 8i

A:

Q: 2-VTO 3+VTO Simplify to its principal root.

A:

Q: Q1- If z₁ =3+2i, and z2 = 1-2i. Fined the real part and imaginary part of the 2z2-z₁+5-i following…

A:

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

A:

Q: erform the following ope (6+3i)(5-2i) a. (3i)*

A: # As per the guidelines we are entitled to solve one question at a time. Please resubmit the other…

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)

Q: b.) (-38/135 +65/70) (3 + 4i) 5 + 2i

A:

Q: 18tan rsec 16. (2+tan' x) -dp-

A: Given integral: ∫18tan2xsec2x2+tan3x2dx Substitute u=2+tan3x and differentiate it w.r.t 'x'…

Q: (-1-i)0 a. Find the following in x + iy and e® form. 10

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: Simplify the complex number: (-√5,10)/(√10  , 5)

A: A complex number is written in the form of a+ib, where a and b are real numbers, and 'i' is called…