4. (1 – i)ª 5. i(1 – iv3)(v3+i) Represent the following complex numbers in polar form: 6. -i 7. -4

Q: Find the product of the complex numbers z1 = 4(cos 15° + i sin 15°) and z2 = 7(cos 25° + i sin 25°).…

A:

Q: Express the complex number z = 6 in polar form r cis 0.

A: given,          z=6

Q: -4/2 – 4V2i Express the complex number z = in polar formr cis 0.

A:

Q: Express the complex number z = 1 + v3i in polar form r cis 0. Select the correct answer below: O 2…

A:

Q: Express the complex number z = 6 cis 180° in rectangular form a + bi. Select the correct answer…

A:

Q: find the quotient z1/z2 of the complex numbers z1 = 10(cos 10° + i sin 10°) and z2 = 5(cos 5° + i…

A: The complex numbers z1 = 10(cos 10° + i sin 10°) and z2 = 5(cos 5° + i sin 5°). We need to find the…

Q: iv) in complex number z3. (7)? = |z|?. z

A: Complex number: A complex number has the form z=x+ιy, where x is called the real part and y is the…

Q: The complex number Z1and Z2 are given by, Z1 = 3 – 5i and Z2 = -1+ 4i Determine: 2Z1 +5Z2

A: We have to determine 2Z1+5Z2 for the given complex numbers: Z1=3-5i and Z2=-1+4i Finding 2Z1:…

Q: Find the quotient z1/z2 of the complex numbers z1 = 3(cos π/5 + i sin π/5)and z2 = 4(cos π/10 + i…

A: Given:         z1 = 3(cos π/5 + i sin π/5)  and        z2 =  4(cos π/10 + i sin π/10)

Q: Find the product of the complex numbers z1 = 6(cos 20° + i sin 20°) and z2 = 5(cos 50° + i sin 50°).…

A: the givn complex numbers are: z1=6(cos20°+isin20°)z2=5(cos50°+isin50°)

Q: If X = 3 - j2     and    Y = 3 + j2   convert your pair of complex numbers to polar form

A: For X=3-j2:

Q: If the complex number z = x + iy satisfies the condition |3z – 6i| = 3 , then z lies on Oa. a.…

A:

Q: iz = iz where z is a Complex number in a

A:

Q: Find the complex number z that satisfies 3z + 5z = |2|2 + 8i.

A: The given problem is to find the complex number which satisfies the given complex function, We have…

Q: Express the complex number z = 10 cis 315° in rectangular form a + bi.

A: Given the complex numberz=10cis315°

Q: If z1 and z2 complex numbers such that z1 = 1 + sqroot(3i) and z2 = sqroot(3) + i determine in…

A:

Q: Express the complex number z = 9√3+9i in standard polar form.

A: The given complex number,    z=93+9i

Q: Find the quotient z1/z2 of the complex numbers z1 = 50(cos 4π/3 + i sin 4π/3) and z2 = 5(cos π/3 + i…

A: Find the quotient z1/z2 of the complex numbers .

Q: Express the complex number z =-8 in polar form r cis 0.

A:

Q: b) Prove complex numbers z1=3/2z-315° and z2=3+j3 are equal. c) For complex numbers z1= 10260° and…

A: Topic = Complex number  As per guidelines,  only three sub-parts of a question can be answered.…

Q: Write the complex number z = 2 - j2 in polar O 2.83245° O 2.832-315° O 2.832-45° O -2.832-45°

A:

Q: Express the complex number z = 12 cis * in rectangular form a + bi.

A:

Q: How may the following complex numbers be obtained fromz = x + iy geometrically? Sketch. -z

A:

Q: Express the complex number z=-4 in polar form r cis8.

A: z= -4 can be written as z= -4 + 0i  -4+0i is on the negative x axis.

Q: 2. Find the Cartesian (x+iy) form of this complex number 3π 3π Z=4(cos + 2 isin 377)

A:

Q: 2Q: Express the complex number z = -2√√4 +11i in polar form and also represent it graphically. Hence…

A:

Q: Represent in polar form and graph in the complex plane as 4. -5 V2 + i/3 5. -V8 - 2i/3 V3 - 10i 6.…

A:

Q: 1. For the complex numbers: 21 = v2 – i, z2 = 1 – iv2. Find the polar and exponential form of the…

A: given: z1=2-i z2=1-i2 we have to find the polar form and exponential form of the complex number…

Q: Find the quotient z1/z2 of the complex numbers z1 = 50(cos 80° + i sin 80°) and z2 = 4(cos 25° + i…

A: We have to find quotient z1z2 of the complex numbers: z1=50cos 80°+i sin 80° and z2=4cos 25°+i sin…

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form. z1 = 10(cos 10° + i sin…

A: We have given complex numbers z1 = 10(cos 10∘ + i sin 10∘)z2= 5(cos 5∘ + i sin 5∘) We have to find…

Q: Find the quotient z1/z2 of the complex numbers z1 = 3(cos 5π/18 + i sin 5π/ 18) and z2 = 10(cos π/16…

A: Given two complex numberz1 = 3cos5π18 + i sin5π18z2 = 10cosπ16 + i sinπ16

Q: Express the complex no v3 + i in polar form. Also show it by Argand diagram

A: Given that z=3+i convert the given complex number into polar form  also draw the Armand diagram

Q: Find the product of the complex numbers z1 = 3(cos 40° + i sin 40°) and z2 = 5(cos 70° + i sin 70°).…

A: Given complex numbers - z1 = 3cos40+isin40           ................(1)z2 = 5cos70+isin70…

Q: Find the quotient z1/z2 of the complex numbers z1 = 20(cos 75° + i sin 75°)z2 = 4(cos 25° + i sin…

A: Given complex numbers,  z1 = 20(cos 75° + i sin 75°) z2 = 4(cos 25° + i sin 25°) To find z1/z2

Q: Express the complex number z = –1 – V3i in polar form r cis 0. Select the correct answer below:

A:

Q: Let z be a complex number. Then i(cosh(3z)+sinh(3z))=e^(3z)?

A: Explanation of the answer is as follows

Q: Q3 Put the complex number Z = 18 + 26i in the "polar" form Z = rele where r, 0 ER and both r and 0…

A:

Q: The complex number z=2eiπ/4 can also be written as z=√2i z=√2+√2i z=2+2i z=√2

A:

Q: EX/Determlne The two square roots of The Complex number (5+jl12) in polar f Cartesian formns

A:

Q: Put the following complex number V3 + 4 1 -- 4 into polar form.

A: We have to find the polar form

Q: Express the complex number z = -V2 - V2i in polar form r(cos 0+i sin 0). Select the correct answer…

A:

Q: Show that if z1 and z2 are complex numbers then (z1/22) = Zī/22.

A: Given, z1 and z2 are two complex numbers and we have to show,

Q: Find all 10 complex solutions in polar form to z^10-8z^5+64=0.   Help me fast so that I will give…

A: Given an equation, z10-8z5+64=0. To determine the 10 complex solutions of the given equation. Let…

Q: Express the complex number z = 8 cis 300° in rectangular form a + bi. Select the correct answer…

A:

Q: Express the complex number z = 8 cis 300° in rectangular form a + bi. Select the correct answer…

A:

Q: Find the quotient z1/z2 of the complex numbers z1 = 5(cos 4π/3 + i sin 4π/3)z2 = 10 (cos π/3 + i sin…

A: Given,   z1=5(cos4π3+i sin4π3)  andz2=10(cosπ3+i sinπ3) To find quotient z1z2: We know that,…

Q: complex

A:

Q: If the complex number z = x + iy is a solution of the equation z2 + z + 1 = 0 then show that z = x…

A: z2 + z + 1 = 0 Solve the given equation using quadratic formula…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.