Express z = V3 + V3i in polar form.

Q: Q17:- In polar coordinates prove that** 第。

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Q: Convert the equation rsin 0 = ln r + ln cos 0 from polar to cartesian.

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Q: Write the polar equation in rectangular form. r = 6 sin 0 Oy =-6x Oy =x- 3 O x² + (v – 3)² = 9 O (r…

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Q: Find the distance between the two points (4, 2.5), (12, 1) in polar coordinates.

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Q: Use polar coordinates to calculate e-(z²+y²) dydx. roo Express -(2²+y²) dydx in terms of dr, and…

A: We will find out all the required values.

Q: The polar equation 9 cos 0 +2 sin0 = in Cartesian form is defined by I Y A. C. 9x +2y=1 +/-/22 - 1 9…

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Q: Use the identity cos 2θ = cos2 θ − sin2 θ to find a polar equation of the hyperbola x2 − y2 = 1.

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Q: Express y=x^2 in polar coordinates.

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Q: ln (3+j4) express in polar form

A: Polar form of logarithmic: Let us consider logarithmic form of complex number: ln(a+bj), where…

Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines y = -5

A: We need to find the equation in polar form for the given line

Q: Find z1z2 in polar form. Z1 = 9 ( cos +i sin 22 = 6 +i sin 4

A: R eiθ=Rcos θ+i sinθ

Q: 9. Transform the equation 2x?+2y?3 into a equa tion. Polar

A: Given

Q: Show that the polar equation for x2/a2 + y2/b2 = 1 is                                           r2 =…

A: Plug x=rcosθ and y=rsinθ

Q: If Z1= −4+j8  ,  Z2= 8−j5  ,  Z3= 3−j7   and   Z4= −8−j9   determine i) Z = (Z1*Z2*Z3*Z4) /…

A: Given complex numbers are: Z1=-4+8jZ2=8-5jZ3=3-7jZ4=-8-9j These complex numbers are given in…

Q: 10 Convert the Cartesian equation 2 xy = 1 in polar equation form. r²cos2θ = 0 cosθsinθ = 1/2…

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Q: 14. Restate -4x = -5y in polar form. Present your answer solved for r.

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Q: What is the polar representation of z = 6i?

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Q: Work out the product of 2cos60° x 3cos30° in polar and rectangular form.

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Q: Write a polar equation of the form r sin(0-00) = ro for the line 3 x + y 1. 2mark dentify and draw…

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Q: 2 2 Write the equation in polar form: x + y = 225 %3D

A: Given,               x2+y2=225

Q: ) Identify the conic section given by the polar equation r =

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Q: 2. \ Evaluate •V4-2² dydx + dydx 2x-r2 using polar coordinates.

A: We have to evaluate the integral using polar coordinates.

Q: #7. Convert into polar equation form. ( 4 marks each ) a) y=5x+3

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Q: Find all solutions to a) z^4=i and b) w^3=8 using polar form

A: (a)

Q: (4430°)-(24225°) d. (24140°)(34300°) (Express your answer in polar form)

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Q: Determine two pairs of polar coordinates for the point with 0°\

A: The objective is to determine two pairs of polar coordinates for the point with 0°.

Q: cosh (0.375-j0.485) express in polar form

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Q: 2. Represent z = 3 – 3i in polar form.

A: As we know that; The polar form for the complex number z=x+iy is: z=rcosθ+isinθ  .....(1) Where;…

Q: Find the distance between P1(1, –91°) and P2(3, 335°) on the polar plane.

A: We know that, Distance between two Cartesian coordinates is,  Distance , D=x2-x22+(y2-y1)2 We know…

Q: Transform (0, y) from rectangular into polar form (here y is any negative number).

A: We have convert rectangular coordinates (0 , y) into polar coordinates: Where y is negative number-

Q: 5. Find the Cartesian form of the polar equation: r sin 0 = In(r cos 0)

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Q: What is the polar form of 7- j9 ?

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Q: (4230°)-(2/225°) d. (24140°)(3/300°) (Express your answer in polar form)

A: The given problem is to simplify and express the given complex expression in terms of polar form.

Q: If z1 = 1 + 3j , and Z2 = 2 – j , which of the following options shows the product Z1 Z2 in polar…

A: Solution

Q: Find an equation in x and y that has the same graph as the polar equation r-sin e =0 and graph on…

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Q: II. Express in polar form: (a) 3+ j5. (b) -6+ j3. (c) -4 – j5.

A: For a complex number a+ib the polar form is given by rsin θ+rcosθ where, r=a2+b2 and θ=tan-1ba.

Q: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

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Q: 1. Change Lxy dydx to polar form. V4-x2 Xy dydx to polar form.

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Q: (0.2-j0.6) exp

A: Here we have to express tan (0.2-j0.6) in polar form.

Q: 1. What is the polar form of (5-jl5) × (8+j6)?

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Q: Replace the Cartesian equations with equivalent polar equations and discusss its symmetries x2 + xy…

A: Given an equation in Cartesian form. We need to convert it into equivalent polar form and discuss…

Q: cos (0.48-j0.38) express in polar form

A: we have to express cos 0.48-j0.38 in polar form: we know that cosx-jy=cosxcoshy+jsinxsinhy Now, here…

Q: 2. Use polar coordinates to evaluate 2 1. √4+7++5² dy dz. Jo

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Q: Find a polar x² + y² = 2y

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Q: Plot the points with polar coordinates (4, T) and -5, - *-) using the pencil. 2n 3 3n 4 4 6 4 6. 一6

A: Given query is to graph the polar coordinates.

Q: Express in polar form esin(-1+V3i). What are its arguments?

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Q: Perform the given polar form into rectangular form complex number. 10 1+jv3 1-jv3,

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Q: 1. Express in polar form, z =-4 + j2.

A: Since not a particular question asked as per guidelines solution to only first question(i.e Q1) is…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.