Q5\ Sketch a graph of the equation r = State briefly the advantage of polar form.

Q: Write polar form of z=-2 -i |

A: Given that the complex number is z=-2-i. It is known that the polar form of the complex number is of…

Q: 8- Write three examples about sketch the graph in polar coordinates from families of rose curves

A: For the solution of the problem follow the next steps.

Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. = sin(30)…

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

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Q: Given the rectangular equation, x^2+(y-2)^2 = 4, describe the graph (shape,size,location) and then…

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: To sketch the graph using symmetry, zeros and maximum r-values: r=8 sinθ Let, r=8 sinθ. Symmetry:…

Q: What conic does the polar equation r = 2/(1 + cos u) represent? Graph the conic

A: The given polar equation is Since, the cartesian coordinate(x,y) for the polar coordinate is given…

Q: What are the standard equations for lines and conic sections in polar coordinates? Give examples.

A: The standard polar equation for lines is given by

Q: 32. ху — 4

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Q: Match the point -3,- in polar coordinates with either A, B, C, or D on the graph. Choose the correct…

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Q: Write a polar equation for a conic having focus at the origin, directrix æ = 3, and eccentricity e =…

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Q: Sketch the graph of the following polar curves θ= π/2 , for all r. What does it represent? Find it’s…

A: Graph of  θ= π/2 is

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

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Q: Describe how to graph a polar equation.

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Q: Express the conics in polar coordinates.

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Q: 11π -7,- Convert the ordered pair in polar coordinates to rectangular coordinates. Use exact values.

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Q: ii) Show that the polar equation of the top half of the parabola with Cartesian equation 1 y = v2x…

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Q: Test for symmetry and then graph polar equation r = 2 + 2 cos θ.

A: Given polar equation is r=2+2cosθ. (i) Check for symmetry about the line θ=π2. Replace r,θ with…

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: make a table values to graph the function

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: make a table value to graph the function

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

A: Given the polar curve is r=153+2sinθ

Q: State the polar Equation of a Conic Section.

A: Polar equations of conic sections:  If the directrix is a distance d away, then the polar form of a…

Q: Consider each polar equation over the given interval. Classify the curve, determine if the graph is…

A: The graph of the curve r2=36 cos2θ , 0≤θ<2π

Q: How do we graph a polar equation?

A: To draw the graph of a polar equation, find the symmetry of the given equation. Test the symmetry…

Q: Plot the point given in polar coordinates. (--) Select the graph that represents the point - 5, --…

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Q: r=1+2 sin 0

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

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Q: Graph polar equation r2 = 16 sin 2θ. Be sure to test for symmetry.

A: Given polar equation is r2=16sin2θ To test for symmetry of given polar equation and graph the polar…

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

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Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

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Q: Describe the graph of the polar equation. 5r cos 0 + r sin 0 = 7 Line with slope 7 and y-intercept…

A: Explanation of the answer is as follows

Q: V8-x2 Use polar coordinates to evaluate dydx

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Q: -3, Plot the point whose polar coordinates are (-). In the graph below, use the options to change…

A: Here, the given polar coordinates is: r,θ=-3,-π6

Q: There are many ways to express an ordered pair using polar coordinates. What is is not an accurate…

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Q: Describe a viewing rectangle, or window, such as [-30, 30, 3] by [-8, 4, 1], that shows a complete…

A: The given equation is of the form  , where e is the eccentricity, p is the distance between the…

Q: 3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices…

A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

Q: 3. Write down the name of the conic given by the polar curve r = 6/ (2 - sine). Determine the…

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Q: Describe the graph of the polar equation

A: This is a polar form of an ellipse with major axis along  y axis and minor axis along x axis…

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: We have to sketch the graph of the polar equation using symmetry, zeros, maximum r- values, and any…

Q: 5. A rock is tossed from a height of 2 meters at an initial velocity of 30 m/s at an angle of 20°…

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Q: Determine whether the statement, "I’m working with a polar equation that failed the symmetry test…

A: Given statement: I’m working with a polar equation that failed the symmetry test with respect to θ =…

Q: Use a graphing utility to graph the polar equation. Inner loop of r = 5 + 10 cos(0)

A: Given  r=5+10 cosθ

Q: Evaluate 4-22 dydx + dydx using polar coordinates.

A: We have to find the double integral using polar coordinates.

Q: Match the point -2, in polar coordinates with either A, B, C, or D on the graph. Choose the correct…

A: Here, we have ro locate (-2, π6) on the graph.

Q: Explain how to write a polar equation in parametric form.

A: Given Explain how to write a polar equation in parametric form.

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.