What is the line of reflection for ABC A'B'C' ? A' A C' B' C Your answer: Ox=-1 Ov=-1 y-0

Q: A torus of radius 2 (and cross-sectional radius 1) can be represented parametrically by the function…

A: The surface area (A) of torus is given by the formula mentioned below with given values as.

Q: fc F • dr, where F(x, y) = {x2,x 2) and C consists of the arcs y = x 2 and y = x for 0<x<l

A: Given, We have the line integral with values; f(x,y)=<x2, x2 > and arcs y=x2 , y=x

Q: 2. Write an integral expression to represent the length of the path described by the parametric…

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Q: Calculate the value of x in the figure: AB = BC = DA and BD = DC (Not drawn to scale). %3D %3D 21 2x…

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Q: Chapter 13, Section 13.7, Question 017 (a) Find all points of intersection of the line x = -1+t, y…

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Q: Discuss the sing ularities Poles fcz) Ze sin z (スー2)(ス-1(+5z+6)Lス+マ)(ズ+り)

A: Singularities are the points at which the numerator of the function is not defined or denominator of…

Q: (Picture of question is attached)

A: Calculate the values using the given polar equation and complete the table.

Q: What is y2 = 3x in polar form? r = 3 sin 0 sin 0 O Option 4 r = 3 csc 0 cote Option 2 r = 3 sin 0 -…

A: Given y2=3xTo find polar form:

Q: Find the angle (in radian) between the planes 2x + Z = 3 and x + 2y + Z = 2y z = 2.

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Q: Identify the surface for ρ = 4 cos φ

A: The given curve is: ρ=4cosφ Multiplying both the sides by ρ: ρ2=4ρcos φ Now, converting it into…

Q: O show mat me Nomal point @ X= a( Coro +o Smo) y= a(8in0-o Cor0) dy Sine %3D ep" of Normal S-ゴ」=…

A: the parametric function is x=a(cosθ+θsinθ) y=asinθ-θcosθ Differentiate each with respect to theta…

Q: If y=sin(x), z=cos(x), v=sawtooth(x), e=rand(4), where 0SX< 4n Could you plot y, z, v, e as shown…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Evaluate where C is the portion of the circle centered at the origin with radius 2 in the 1st…

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Q: 2. Use calculus to show that these polar curves intersect at right angles. = sin 0, r = cos 0

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Q: Find parametric equations for the line segment joining the points (9, 8) and (16, 11). O x=9+7t, y…

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Q: LFAC and ZCAD are adjacent and AF and AD are opposite rays. What can you conclude regarding LFAC and…

A: Given, AF→ and  AD →are opposite rays.∴∠FAD=180°

Q: 글 36- +| de. 1 4 dz, (z+3i)³ ] Evaluate - z+3i where C is the circle |z+ 3i| = 6 + 4, 0 < 0 < 2ñ .

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Q: r 64 In(y) 49 VY

A: We need to solve definite integral.

Q: Let F(x, y) 4y i + (2x + ev)3. Calculate fe F · d7, where C is the circle of radius 2 centered at…

A: Given: F→x,y=4yi→+2x+ey2j→ To Find: ∫CF→·dr→, where C is the circle of radius 2 centered at 0,0…

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 angle between the plane z=0 and the plane passing through the points (0, 0, 0), (3, 1, 0),…

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Q: c VI by differentiating

A: since you have asked multiple questions in single request so we will be answering only first…

Q: -What 3D image is below?

A: Given image is a 3d image. In geometry, a tetrahedron is also known as a triangular pyramid.  It has…

Q: ») Shade the region in the complex plane defined by {rec: s |z+ 2+ 2i <1 4i E C

A: Complex plane

Q: 25-r2 Evaluate (x2 + y?)3 dy dx by converting to polar coordinates.

A: we have to evaluate the following

Q: b) r= 3cos(0)-3 sin (0)

A: Idea: substitute x=rCos(theta) and y=rSin(theta) and simplify we get equation in Cartesian form

Q: Interpret J, 1+ 2x' dx where Cis the right half of the circle of radius 2 with counter- clockwise…

A: Line integral gives work done to move a particle under a vector field from one point to another…

Q: A tangent at the pole to the polar curve r = is 2-4 sin 0 A 0 = = af pole usin6-2 Sing D 0=

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Q: Yij - y = yij – J,. = yj - , + , -y. Given %3D | (Yj – y)? [(Yj – Y;) + Cỹ, – y) - - i. be

A: Given that…

Q: The circle æ² + (y– 1)² = 4 has center (0, 1) and radius 2, so by Example 4 it can be represented by…

A: The parametric equation of the circle having center at a,b and radius r is: x=a+r costy=b+r sint…

Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

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Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: 5. Discuss the bifurcations of the system ŕ = r(µ – sin r), 0 = 1 as µ varies.

A: Given that: This system has no fixed points, but r can take on zero values where μ≤0. Where equality…

Q: The center of Dis R. Rare}

A: As the centre of group D4 is {R0,R180}•

Q: Find parametric equations for the line through (3, – 7,6) parallel to the x-axis. Let z = 6. X= , y…

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Q: •5 25-x2 Evaluate (x² + y? )° dy dx by converting to polar coordinates.

A: To evaluate the integral using polar coordinates

Q: 3. Consider the curves: r 4sin e and r = 2 sin(8) + 2cos (0). =

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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: Here theta is the angle in counter clockwise direction from positive X axis in XY plane. Please…

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Q: Find the acute angle between the 5x + y = 3 %3D 6x - y = 6 %3D

A: Here we have to find the acute angle between the lines,  The given lines are,

Q: Evaluate fe(11 +x³)dx + 76dy where C is the line segment from (0, 1) to (-2, –1) followed by the…

A: We will first break the whole path into two segments and then integrate on both segments.

Q: In three-dimensional space, the graph of the equation z = sin(x) is: O a Line O a cylinrical surface…

A: Given,    Z= sin(x)    Sine curve is the curve of the sine function. It is also known as sinusoid.…

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

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Q: tan 0 If u= sec 0, then | de = sec 0 du (A Vūdu du © J, J "uvudu

A: We will solve the integration.

Q: # 4) Compute 1 dz dr dy and give a geometric interpretation of your answer.

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Q: plai now you RHOW. e point (7, 0) is reflected over the x-axis. What do you notice about the…

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Q: y = sin 0–. +2 4

A: To find the transformed graph.

Q: Integrate counterclockwise dz by Cauchy's formula 9. - 3 counterclockwise around the circle C : |z –…

A: Given that integrate counterclockwise  ∮Cz2z2-9dz by Cauchy's formula where  C : |z-3-3i|=32π.…

Q: If y=sin(x), z-cos(x), v=sawtooth(x), e=rand(4), where 0<X < 4N Could you plot y, z, v, e as shown…

A: The graphs for the function can be plotted by hand or using an online plotting tool. The command for…