Piisketch r=2 Sin cQ-E)Cos co-Ę) Qz: sketch in polar X =y %3D Qg: find × it 16+ 16ton?ce

Q: a) Q5 Check the symmetry and graph the two curves in polar coordinates r=2√cos20 if (0 = 0 and 7/4)…

A: For the given polar curve we have to calculate the symmetry and graph the curves

Q: Graph in radians please

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Q: 12. Sketch the graph of the polar curve r = 4 cos 30. Show coordinates of points used to plot the…

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Q: (a) Sketch the curve C1 with polar equation r 2 sin 0. (b) Let C2 be the curve with polar equation r…

A: We have to sketch the curve C1 with a polar equation r=2sinθ. Also, find the intersection points of…

Q: Please Write down the solution clearly.

A: The complex form is , z=2cos2π4+isin2π4. To convert into polar form,  z=reiθ. In the given complex…

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) 9 + 7i r = • 0…

A: The given complex number is: z=9+7i

Q: Convert the cartesian coordinate (-6, – 1) to polar coordinates, 0 < 27

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Q: 22) -4 -2 Amplitude: Period: Equation:

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Q: 6) Graph in polar coordinates r = 1+ cos 8.

A: We have to plot the graph of the given function in polar co-ordinate.

Q: How many petals are there in the graph of the polar equation r = 2 cos3@ ?

A: Draw the polar curve

Q: A family of curves has polar equations  ra  =  ∣ sin 2θ∣ where a is a positive number. Investigate…

A: The equation of the family of curves is ra=sin2θ, where a is a positive number. We need to visualize…

Q: Given that z = 4 ( cos· 4 +i sin) and w = 1 – iv3. Find 4. %3D a) 2 w b) E c) arg (-), in radians as…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: 3. Consider the curve C of equation 4ry r² + y²" Among the options indicated, select the one that…

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Q: Write the equation a? + y? = 144 in polar coordinates. a) Or = 12 b) Or? = 12 c) Or?cos? (0) 144 d)…

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Q: Graph the polar equations r = −1+cos θ and find the equation of the tangent at θ = π/4.

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Q: Using trignometrie formula Solve sin e + 2 cose =| for angles between o and 360°

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Q: A) Use polar coordinate system to sketch and find the area in side r = 8 cos0 out side x? + y? = 16.

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Q: Question 13 > Write the following numbers in Polar form: r(cos 0 + i sin 0) with 0 < 0 < 27. r = 4i…

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Q: 10) Given the polar equation r = 8 sin 0 a) Graph it, and b) Express it in rectangular coordinates.…

A: Given: r=8sinθ

Q: Question 3 > Rewrite the polar equation 5 sin(0) as a Cartesian equation.

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Q: When graphing the polar equation r =3 cos(20) as Ø moves from to, the radius changes from the graph…

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Q: Find a Cartesian equation whose graph is the same as that of the polar equa- 1² cos 20 and (hence or…

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Q: pe of each polar curve. 2+2sin(@) 2+ 4 sin(6) 31 主典

A: Given  1) r=32+2sinθ 2) r=32+4sinθ 3)r=34+2sinθ 4) r=3

Q: Identify the coordinates of the point in polar form based upon the given conditions. NOTE: Each…

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Q: #1. Sketch the graph of r = 3 cos 0

A: We have answered the first question since exact one was not specified, please resubmit the question…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.