"The reflection across m takes P to P' and takes P' to P.  It leaves each point of m fixed." What does "rm leaves each point of m fixed" mean?

Q: Graph the limaçon. Oval limaçons r = 2 + cos u

A: Given- r=2+cosθ To sketch- The graph of the above limaçon.

Q: The intersection points between the curves r = 3. and r = are 1-cos e 1+cose

A: The given curves are, r=11-cosθ                      ........(1) r=31+cosθ…

Q: Use Figure to find all angles between 0 and 2π satisfying the given condition. cosθ = 1/2

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Q: Graph the limaçons. Cardioids r = -1 + sin u

A: A limacon is a curve of the type or where a and b are not equal to . The ratio of a to b is always…

Q: 2ーてスース+スニ。 A ind yh ans: スi:z )スてニリ人3:)

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Q: Find the maclauin's sesies for y= cos(%)

A: y=fx=cosx2 Differentiating with respect to x, we get f'x=-12sinx2 Again differentiating with respect…

Q: Find all angles between 0 and 2n satisfying the condition V2 COS T = Separate your answers with…

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Q: What would be the orientation of the figure below after a reflection across the x-axis? L

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Q: Eliminate the parameter t in the following. x = 6 + 4 tan t, y = 4 + 4 sec t

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Q: points

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Q: 1. Prove that the composite trapezoidal rule with h = 2-i, i E N, is exact for ſ cos? (Tx) dr

A: We know that in composite trapezoidal rule, we approximate the integral as follows: ∫abf(x) dx ≈  h…

Q: R At Q' R O.

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Q: The area enclosed by one petal of the polar curve r = cos20 is False True O

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Q: Calculate the length of the path over the given interval. (sin 4t, cos 4t), 0 <t <T

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Q: If u = tan- the value of x2 +y? +xy du du at x = 1 and y = 3 is

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Q: Find (t), given 7(t) = (– 5t* – 1, 4 sin(2t), 4e*). = (?),

A: Given,

Q: az az and at as Use the chain rule to find sin(0) r = st, 0 = s6 + az as az at

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Q: Find the angle at which the cardioid r = a(1 – cos 0) crosses the ray 0 3D п/2.

A: To find the angel at which the below cardioid crosses the ray θ=π/2

Q: 1. Name two points collinear to point D. 1 1)

A: As per our guidelines  I am supposed to answer  one question from eight question which question…

Q: Find the area of the intersection of the circles r = 3 sin(0) and r = 3 cos(0).

A: Given the equation of curves r=3sinθr=3cosθ

Q: Find the angle at which the cardioid r = a(1 - cos u) crosses the ray u = pai/2.

A: Given:

Q: Question 1 of 10 Two or more points are. if they lie on the same line. O A. complementary O B.…

A: Question is solved.

Q: 4. to 1 What is the location of point A after a reflection across the y-axis and a translation of 4…

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Q: 9. What is the resulting image of D' after a reflection about the line y3Dx? ty D Rule: A B

A: Topic - symmetry and geometry

Q: Show that r = cos20 is symmetric about the y-axis.

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: (b) Find the entire length of the cardioid r = a(1+cos0).

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Q: Show that r = cos(2theta) is symmetric about the y-axis.

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Q: Calculate the length of the path over the given interval. (sin 7t, cos 7t), 0≤t≤n

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Q: 1.Why does the following DE have an unique solution on an open rectangle that contains the point (O;…

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Q: Given that z= Inx2+y? +tan- then the value of will be ax? ay

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Q: au, a'u +: Q3) A: Find u = In(x + y) + tan () where

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Q: . What happens when we multiply x by a number between O and 1? . In order to obtain a reflection…

A: Given query is to provide information regarding effect of multiplying and reference for a function.

Q: Let r(t) = (sin 3r, cos 3r, /īt), Find T(t) and N(t)

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Q: 5.) In the diagram of the collinear points, HK= 9, 1. Find the following lengths. = JK, and IJ a. HI…

A: Given,           In the diagram of the collinear points, HK=9, HI=JK and IJ=1.

Q: Calculate the length of the path over the given interval. (sin 3t, cos 3t), 0 <t<+

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Q: Compute the length of the cardioid r = 9 – 9 cos(0).

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Q: 6. Find the length of the parabolic segment r %3D 1+cos 0'

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Q: If A = sin o a, +p cos o a, 1. Evaluate A. dl around the path shown in Figure P4. 2. Confirm this…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Consider the figure. J 8. What is JL? 身

A: Two right angle triangle   ∆JKL  and  ∆KML KM = 6  And  JM = 8

Q: az az and as Use the chain rule to find at sin(8) r= st, 0 = s3+ t3 %3D

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Q: Given, a(x,y,2) = 23x3 tan (y) + x*29 %3D Find the expression for Izyz and Caleulate it at the point…

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Q: Find the length of the cardioid r = 1 – cos 0.

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Q: 3.) Evaluate ff cos(x-y) sin(x+y)dA, where R is the triangle with R vertices (0,0), (-л,π), and (,)…

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Q: 7. Find the length of the curve: r = 1 + cos 0

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Q: Find the area of the intersection of the circles r = 3 sin(0) andr = 3 cos(0).

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Q: 12. Find another representation, (r, &theta), for the point under the given conditions. 1, and 2n…

A: We know that the angle around a point is 2pi. Hence pi/3 = 2pi+ pi/3

Q: Is z=xcosϕ ?

A: To determine whether z=x cos φ.

Q: dz az Use the chain rule to find and as sin(8) r = st, 6 = s + t3 = az %3D as az %3D

A: Given:- z=sinθrr=stθ=s3+t3 To find:- ∂z∂s and ∂z∂t