Let z be a complex number. Then tanh(2+JTi) is equal to cothz -cothz None of these -tanhz O tanhz O O O O O

Q: Let z be a complex number. Then cos(3z)-i is unbounded in C. * False True

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Q: ind all complex numbers z such that z=-3-4i, and give your answer in the form a+bi. Use the square…

A: Given: z2=-3-4ilet z = x+yi   then z2=x+yi2substituting z2=x+yi2 in z2=-3-4i…

Q: Let z be a complex number. Then cos(3z)-i is unbounded in C. O True O False

A: Use z=x+iy, then show it is bounded.

Q: Let z be a complex number. Then cot(5z – 1) is equal to a. cot(5z) b. coth(5z) c. -tanh(5z) d.…

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Q: Let z be a complex number. Then cot(5z-pi) = cot(5z)?

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Q: The set of all complex numbers is denoted by C={x+iy:x,yER} ylgn O ihi O السؤال 2 lim does not exist…

A: Every complex number is x + y i , where x and y are real number So statement is True.

Q: Let z be a complex number. Then cos(3z)-i is unbounded in C.* True False

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Q: Let z be a complex number. Then i(cosh(3z) + sinh(3z)) a, ie3z b. ie-3z с. е 3г

A: The given expression is icosh3z+sinh3z where z is a complex number.

Q: Let z be a complex number. Then cos(32)-i is unbounded in C. * False True

A: use:- cos(x+iy)=cosxcoshy−isinxsinhy

Q: Let z be a complex number. Then cos(3z)-i is unbounded in C. * False O True

A: From Liovilles thm we can say Every non constant entire function is unbounded.

Q: Let z be a complex number. Then Im(-iz+1)= * O =liz-1| O None of these Ozliz-1| Sliz-1|

A: The last option is correct.

Q: The conjugate of complex number z satisfy: Oz+z=1 Oz-z=0 Oz-z=2ilmz | Oz+z=2Rez

A: let's consider a complex number , z=Re(z)+i Img(z)  i.e z=x+iy

Q: Let z be a complex number. Then coth(2+7ti) is equal to cothz -cothz tanhz None of these -tanhz

A: Solution

Q: Let z be a complex number. Then sin (3z) -i is bounded in C . TRUE OR FALSE

A: It is an application of Linville's theorem

Q: Let z be a complex number. Then coth(2+Ti) is equal to -tanhz O None of these O -cothz O cothz O…

A:

Q: Let z be a complex number .then cos (3z)-I bounded or not

A: Substitute z=x+iy, then convert into real and get known real valued function which is unbounded.

Q: 3. Determine all complex numbers z for which |2z – 1| < 2|2 – i|.

A: The given problem is to find all the complex numbers that satisfies the given complex inequality.

Q: Let z be a complex number. Then tanh(z+Ti) is equal to * cothz -tanhz None of these tanhz -cothz

A: We know that hyperbolic identities

Q: a) Let a complex number z =-5i+3. Find in the standard form x+ yi . IN

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Q: Let z be a complex number. Then Im(-iz+1) = * O =liz-1| None of these O zliz-1| O sliz-1| OOO

A: Let z be complex number then

Q: The conjugate of complex number z satisfy: z+z=2Rez O Z-N=2ilmz O z+z=10

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Q: Let z be a complex number. Then coth(2+m) is equal to * Ocothz O cothz O None of these tanhz, O…

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Q: Let z and w be the complex numbers given in the following argand diagram. Find the distance between…

A: Given that      z and w be two complex numbers given in the argand diagram. We have to find the…

Q: If 21 and z2 complex numbers such that z1 = 1+ V3i and 22 = V3+ i determine in polar form, (i) ž122…

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Q: Let z be a complex number. Then coth(z+JTi) is equal to -tanhz O None of these tanhz cothz -cothz

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Q: Let z be a complex number. Then coth(2+ Ti) is equal to None of these tanhz -tanhz oothz

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Q: What is the result of multiplication of complex numbers -V3+i and 끓 (cos +isin )? A 을 (cos +i sin )…

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Q: Let z be a complex number. Then coth(2+ Ti) is equal to O None of these O -cothz O cothz O tanhz O…

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Q: 13 Jlgull If z,,z, are two complex numbers then:

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Q: Let z be a complex number. Then the solution(s) of sinhz+coshz-e is (are)* None of these z=nti+1…

A: See solution below

Q: Let z be a complex number. Then coth(2+ Ti) is equal to -cothz tanhz O -tanhz O None of these

A: I have solved bothe examples for first question first option is correct And for second question last…

Q: Let z1 , Z2 and z3 be the complex numbers given in the following argand diagram. Find the complex…

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Q: Let z be a complex number. Then coth(2+Ti) s equal to * ● -tanhz O None of these ) -cothz O cothz O…

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Q: Suppose Z, and Z, are two given complex numbers. Construct graphically a. 3Z1- 2Z2 b. (1/2)Z,…

A: Suppose complex number Z1=a1+ib1=2+3i and Z2=a2+ib2=-1-2i (a) given complex number 3Z1-2Z2…

Q: Let z be a complex number. Then Im(-iz+1)= * O =liz-1| None of these O 2liz-1| <liz-1|

A:

Q: Find all complex numbers z satisfying = -i

A: i = -1(i)2 = -1

Q: Let z be a complex number .then e^(3z+i) is bounded over the set of complex numbers?

A: Let z is a complex number. Let f(z) = e(3z+i)  Let us assume that f(z) is bounded. Hence f(z) is an…

Q: Let z be a complex number. Then sin(3z)-i is bounded in C. * O True O False

A: Assume sin3z is bounded. We know that sin3z is analytic on C, that is sin3z is an entire function.…

Q: Let z be a complex number. Then cos(3z)-i is unbounded in C. * True False

A:

Q: Let z be a complex number. Then cos(72)+3i is unbounded in C.

A: A complex no. in the form of a+ ib

Q: Let z be a complex number. Then tanh(2+ Ti) is equal to * cothz O -tanhz -cothz None of these O…

A: according to bartleby guideline, I can solve first question...

Q: Let z be a complex number. Then Im(-iz+1)= O None of these O sliz-1| =liz-1| O zliz-1| O O O

A: Given problem is :

Q: Q/ State and Prove the integral formula for the derivati ves Complex number

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Q: p and q are complex numbers such that |a| = 4√5 and lp + ql = 9√/2. - On what interval must lp fall…

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Q: Ifz is a complex number, then sin-z can be written as (A)-i In iz+ (1-z) (B)t In [iz + (1 -z)]…

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Q: Let z be a complex number. Then coth(2+ Ti) is equal to None of these -tanhz tanhz cothz -cothz

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Q: Let z be a complex number. Then cos(tz)+3i is unbounded in C. * False True

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Q: Let z be a complex number. Then cot(5z-pi)=coth(5z)?

A: According to the given information, it is required to check whether the given statement is true or…

Q: Let z be a complex numbers. Then cot(5z-pi)=?

A: The objective is to find cot(5z-pi).