;5i (b) Show that ¿" is real, even though i or 5i is not.

Q: (b) Show that i10 is real, even though i or 10i is not.

A:

Q: Express the following in the form a + bi, where a and b are real numbers: 3-4i

A: Explanation; Given that: Concept: Make a perfect square.

Q: -2V-2 + 10

A: Given we know that conjugate of (a-ib)=(a+ib)

Q: (b) Show that i³i is real, even though i or 3i is not.

A:

Q: Express the following in the form a + bi, where a and b are real numbers: -7-24i

A:

Q: For all real numbers a and b, |a + b| < ]a| + |bl. Select one: OTrue False

A: Answer

Q: Express the following statement using O-notation: 12.5 (3x + 4) 2. x + 2

A: Given, x5≤12x53x+4x+2≤36x5 Comparing the given expression by, Axn≤fx≤Bxn

Q: (b) Show that i0 is real, even though i or 6i is not.

A:

Q: So æ[a + In(1/x)]³dx a= 7.5

A:

Q: Determine if the statement is possible for some real number z.     sec pi/2 =z

A: We are to determine whether the statement is possible for some real number z. secπ2=z

Q: O show that 2. I| a+ V 1= 11 + 1i if and only if ū. ů =0 %3D

A:

Q: Since u = x, then converting back to an expression in x we get

A:

Q: 3/2n 7. Find proj in terms of: (a) b)

A: Solution of the problem as follows

Q: Let 2 A = 9. -1 (a) Show that A 3 (2+3i) 3

A:

Q: Use symmetry to evaluate the followingintegrals.

A: The given integral is, ∫-22x3-4xx2+1dx The function is f(x)=x3-4xx2+1 When function f(x) is…

Q: For ƒ(x) = sin x, find ƒ"(x), ƒ″(x), ƒ‴(x), and ƒ(4)(x). What is ƒ(4n)(x) when n is a nonnegative…

A: Given  f(x)= sinx Lets take first derivative f'(x)= cos(x)f''(x)= -sin (x)f'''(x)=…

Q: so-Z of what is 21

A:

Q: Which of the expressions are defined, and whichare not? Give reasons for your answers. sec-1 0

A: sec-1 0 The given expressions is not defined.

Q: Let a = – 4i – 5j and b – 7i + 3j. Find a - b

A: we have  a→=-4i→-5j→ and b→=-7i→+3j→

Q: Given that 32a × 11º = 274x × 332× express a in terms of x?

A: Find your answer below

Q: Which of the following statements are correct? (Select all that apply.) 0° =D1 %3D а O (xa) = (xb)ª…

A:

Q: Express the following in the form a + bi, where a and b are real numbers: 60i-11

A: Introduction: Like a real number, the square roots of a complex number can also be determined. A…

Q: What is the conjugate of - 3 + 4i?

A: Any number of the form a+ib where a and b are real numbers and i=-1 is called a complex number. The…

Q: Express z =1/(2+5i) in the form a+ib.

A: Given:

Q: Show that п ()- = 1- 1 and п,

A: It is given that,

Q: Determine if the statement is possible for some real number z.     cosec 0 =z

A: The given statement  is cosec 0=z. First write  the term cosec 0 in terms if sin 0. cosec 0=1sin…

Q: Which of the following expressions is equivalent to for all positive real numbers x and y ?

A:

Q: A6 - B= | verify that AB not equal BA?

A: first we will find AB by rule of product of matrix then we will find BA then compare both matrix

Q: ez = -2

A: Given,ez=-2⇒z = ln(-2) = ln(-2+0i)

Q: (b) Show that it is real, even though i or 8i is not.

A:

Q: Ex if 7- 5+3i find conjucad f z and madulus and argumend of

A: Given:- Z =(5+√3i)/(√3+2i)  To find:- Conjugate , modulus and argument of z

Q: - is a real num 1S y+z= 6, 4x +

A:

Q: |u|> c is true for all real numbers if c _ 0.

A: |u|&gt;c is true for all real numbers if c ____ 0.

Q: make the following statement true x=-1 iff, if or only if x2+2x+1

A: Let's find.

Q: If xER then |1– x| = |x+1|- True O False

A: We have check given statement is true or not

Q: Hi I have attached the question. Thanks

A: To prove that the complex number z is real under the given conditions

Q: Evaluate (V12 - V-3) (3+ v-4) and express in the form a + bi, for SOme rea numbers a and b.

A:

Q: 9. Find (2+31) A if A= [2-3i 5+8] -4 1-6-i 3-7i 5i

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3 1 If A = show that A²- 5A + 7I = 0. %3D -1 2

A:

Q: (a) (√3-i) =

A:

Q: The conjugate of 2 - 9i is________.

A: Given complex number z - z = 2-9i                       ....................(1)Concept - If a…

Q: Consider the statement: 3 a| I. Express this statement usíng O-notation.

A: The given inequality is 3x2≤3x2+17x+5≤25x2 for all real numbers x&gt;1.  Let fx=3x2+17x+5 and gx=x2,…

Q: If r is real and w complex, what is (w-r)(conjugate of w-r) equal to?

A:

Q: Evaluate (V12 - V-3) (3+ v=4) and express in the form a + bi, for some real numbers a and b.

A:

Q: Which of the following statements are correct? (Select all that apply.) 1 1 %3D xb-a x(a + b) = xab…

A:

Q: 22. Use the adjoint of 1 -5 -1 A = 0. -2 1 to find A-

A:

Q: (b) Show that ii is real, even though i or 5i is not.

A: