Replace the polar equation 1 1 r = 1– sin 0 1+ sin 0 with an equivalent Cartesian equation. Choose the correct option: (1) y? = 4x (2) y? = 2x (3) x² = 4y (4) x2 = 2y Answer: (Enter an integer between 1 and 4)

Q: Find z1z2 in polar form. 21 = 3 cos +i sin 22 = 4 +i sin ((늘)에

A: The objective is to find z1z2 in polar form.

Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: The propellers for a toy boat are manufactured by stamping out a rose with n petals and then bending…

A:

Q: Consider the conic section given by the polar equation 4 1-sin 0 r=

A:

Q: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

A: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

Q: 24/ Replace the polar equation r. sin (0 +") = 2 to Cartesian equation -(G+ ns./ = 2

A: The given polar equation is r·sinθ+π6=2 .................(1)

Q: 4. Write down the name of the conic given by the polar curve r = 15 / (3 + 2 sine). Determine the…

A: We have to draw graph of given curve.

Q: What are the polar equations of the lines parallel to the line r cos (0 - ) = 1?

A: As a first step we will convert the polar equation into the Cartesian equation.

Q: In Exercises 40–46, convert each polar equation to a rectangular equation. Then use your knowledge…

A: r=3

Q: Convert the Cartesian coordinate (3,5) to polar coordinates, 0 < 0 < 2n r = Enter exact value. 0 =

A:

Q: 4Evaluate in polar fom; 1)' 3(-344i + (3+4i)(-2 3-4i

A:

Q: 3. Find a polar coordinates for the point that is described in Cartesian coordinates as (x,y) = (2,…

A: We can solve the given problem using the concept of polar coordinate of given problem.

Q: 1. Convert (V3,-3) from rectangular to polar coordinates with r>0 and 0<0< 2r. Give exact values for…

A:

Q: Find the polar equation of 3x2=4-3y2

A:

Q: 4. Explain how to convert 2² 2² 2² dz2' 7²= + дх2 ' дуг in the Cartesian coordinates system to + 10…

A:

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

A:

Q: (a) Rectangular coordinates of a point (x, y) may be recovered from its polar coordinates (r,θ)by…

A: We know, Polar coordinate (r,θ) and rectangular coordinate (x,y) are related as follows:…

Q: 4 Convert the equation from polar to cartesian. r = 3 – 2 sin 0

A:

Q: 11T A point has polar coordinates ( 4, Convert to rectangular coordinates. (x, y) = Enter your…

A:

Q: 1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. 1b) Use a…

A: By using the following substitution we can convert the Cartesian equation to polar form. x²+y²=r²…

Q: Convert (x + 2)² + y² = 4 to polar form. Drag and drop an answer to each box to correctly complete…

A: Let's find.

Q: -2-j3 3+j4 (final answer should be in polar form)

A: We need to evaluate complex number,  -2 - j33 + j4 First we need to multiply and divide by complex…

Q: Q4: Replace the following polar equations by equivalent Cartesian equations 1- r sin 0 -1 2- r= - 3…

A:

Q: Ship X left the harbor at a speed of 25 n.m/hr Northeast while Ship Y is already in the ocean at…

A: We will draw diagram and then use co ordinate and trigonometry tp find required values

Q: 1. Convert from a rectangular equation to a polar equation. X-y= 10

A:

Q: Write the equations that are used to express a point withCartesian coordinates (x, y) in polar…

A: To convert Cartesian coordinates x,y in polar coordinates. In polar coordinates point is given r,θ.…

Q: / 2-Replace the Cartesian equations with equivalent polar equations. 1]. x-y? =1

A:

Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

A:

Q: 2. The point (4,30°) in plane polar coordinates is equivalent to .. in rectangular coordinates. (a)…

A: Given polar coordinates is  (4,30°)

Q: 2. Convert from polar coordinates to rectangular (−2, −14pi/ 5 ) 3. Convert from rectangular to…

A: This question can be solved using the concept of rectangular and polar form of coordinates of a…

Q: Find (V2 + i ) . Answers must be in Polar and Rectangular Form

A: The given problem is to express the given complex number in the form of polar form and rectangular…

Q: 2y2 x2 + y2 [Question 8] Convert the expression into polar coordinates, and simplify the result.

A: 8 Given expression is 2y2x2+y2. We have to convert the expression 2y2x2+y2 into polar coordinates.…

Q: (4Z30°)² 3. - (6 – 4i)². Express your answer in polar form. - (2cis60°)³

A: Given that: (4∠30°)2(2cis60°)3-(6-4i)2

Q: Convert the polar equation r- 3 cosa 5 sin A in Cartesian equation form. )x² + y² - 3x = 5y 1- 3x =…

A:

Q: The propellers for a toy boat are manufactured by stamping out a rose with n petals and then bending…

A:

Q: 6. 2. r3D cos 8+3 sine

A:

Q: 7) Convert the coordinate (213,2) to point in' polar Coordinates. polar coordinetes.

A:

Q: 2. Convert Polar Equation to Rectangular Equation. 1 r = sin 0 – cos 0

A:

Q: 8 a. Given the polar equation r² sin20 = 8, find an equivalent Cartesian equation.

A:

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

A:

Q: 8. i. Convert (x, y) = (-v3, 1) to polar coordinate. ii. Convert r=7 sin O to Cartesian equation in…

A: Explanation of the answer is as follows

Q: 4. a) Express the given rectangular equation in polar form. Solve for r or r2 if possible. x? = y? +…

A: Use x= rcostheta Y= r sin theta X2+y2=r2

Q: 3Q. If z₁ = (cos50 – i sin 50), z₂ = (cos70 + i sin €) and z3 = (cos40 – i sin 40) then find 4 polar…

A:

Q: 20. Find two polar coordinates representations for the rectangular coordinate point (-6, 2/3), one…

A: Given: -6,23

Q: Replace the polar equation with an equivalent Cartesian equation. r 2 = 26r cos θ - 6r sin θ - 9…

A: We can make it easier by putting the value of x and y in the equation.

Q: roblem 1: onvert from rectangular to polar form: a) 2 + 2v3i b) 3- 4i =) V3 - i

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Convert the rectangular equation 2x - 4y = 5 into polar form. 1 O r = 2 cos 0-4 sin 0 5 Or 2 sin 0-4…

A:

Q: 5 Convert the equation from polar to cartesian. r = sin 0 – 2 cos 0 -

A:

Q: 10.2.17 Express the polar coordinates 3,-in Cartesian coordinates What is the point in rectangular…

A: Polar coordinates:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.