What is the center (in rectangular coordinates) of the circler= -3 sin 0 ? (0, - ) 3 0, O (0, v3) °(-;, )

Q: Find the length of one arc of the curve whose parametric equation are x=2θ-2sinθ and y=2-2cosθ.

A: We have to find length of arc whose parametric equations are : x=2θ-2sinθ and y=2-2cosθ Suppose 0 ≤…

Q: The exact value of the curvature of ƒ(x)=arcsin x when x= , can be expressed as the product of a/b…

A: Given,               f(x)= arcsin xDifferentiating both sides with respect to x…

Q: 2. CENTER AT (-3, 4); V(-10, 4) length of minor axis = 9

A: Here is the solution

Q: III. Find equation of the circle ( in general form ) that satisfies the given condition. 6.…

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Q: The VVF Ct)= describes a helix. Find the tangent line to the helix at the point (0, 1, "/2).

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Q: Find the parametric equation for a line through (5,-1,1) which is perpendicular to the line segment…

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Q: What are the new coordinates of the point (11, 22) under the dilation (x, y) → (2x, 2y)?

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Q: Determine the x - y coordinates 5 sin²t of the points where the parametric equation y=2 cost 0≤t≤ 2π…

A: The curve has horizontal tangent where the slope is 0

Q: Is the point (-2, 11) on the circle with radius 5 and center (2, 13)? no yes

A: The solution is given below

Q: distance

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Q: A million years ago, an alien species built a vertical tower on a horizontal plane. When they…

A: Consider the given points.P = (0, 0, 0)Q = (2, 2, 0)R = (0, 1, 2)

Q: Point P is rotated 210° counterclockwise around a circle with a diameter of 20 meters. If the center…

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Q: 3. What are the new coordinates of line segment AC if the triangle is dilated using a scale factor…

A: What are the new coordinates of line segment AC if the triangle is dilated using a scale factor of…

Q: Calculate the distance between the points N= (-9, 8) and Q = (-1, 1) in the coordinate plane. Give…

A: Given

Q: What is the value of csc(0) if the terminal side of the angle 0 intersects a circle at the point…

A: At first we want to find radius of the circle.

Q: PCt) =<5-t, 4t -3,3t7 uking are length Reparami tize parameter from the point (4,113).

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Q: Give parametric equations that describe a full circle of radius R, centered at the origin with…

A: The general parametric equations for circle which has center at (0,0) and radius R orientated in…

Q: The parametric equations for the line tangent to curve of intersection of the surfaces x? + y? = 8,…

A: Given: The parametric equations for the line tangent to curve of intersection of the surfaces…

Q: Prove that cirlce A with center (-1,5) and radius 4 is similar to circle B with center  (-4,3) and…

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Q: Use parametric equations to derive the formula for the surface area of a sphere of radius a.

A: We know that parametric equations of the sphere, x=acosθsinϕy=asinθsinϕz=acosϕ So parametric vector…

Q: Find parametric equations for a circle of radius 2, centered at (3, 5).

A: Solution:Given    radius of the circle=r=2centre of the circle(h,k)=(3,5)To find the parametric…

Q: Sketch the curve resonted by the parametric equation. Indicate of the curve. Dlease Label…

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: In an open space, Thomas throws a ball at an angle of 70° to the horizontal with an initial velocity…

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A: The given equation of circle at (a,0) is The general parametric equation of circle is where x,y…

Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

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Q: The curve with parametric equationsx = (1 + 2 sin θ) cos θ, y = (1 + 2 sin θ) sin θis called a…

A: Equations of the curve in the given question is: Slope of tangent line is given by dy/dx, hence…

Q: The curve with parametric equationsx = (1 + 2 sin θ) cos θ, y = (1 + 2 sin θ) sin θis called a…

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Q: What are the new coordinates of the point (6, 15) under the dilation (x,y) → (3-3)?

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Q: Write the equation of a sphere of radius 3 in all three coordinates--cartesian, cylindrical, and…

A: It is given that the radius of sphere is 3 .We have to find the equation of sphere in all three…

Q: Give parametric equations that describe a circle of radius R, centered at the origin with clockwise…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: A line, passing through point (6, 3, 2) and is perpendicular to the xy-plane. Find a point on this…

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Q: 6. Point Q is located at (27, -30). If is dilated by a factor of , with center of dilation as the…

A: Point Q is located at (27, -30) is dilated by a factor of 16, with center of dilation as the origin.

Q: What are the parametric equations for the line segment from (3,2) to (-10,5)?

A: To determine the parametric equation of a line segment.

Q: Find the point cylindrical coodinater of whoose cartesin coordinates are 10,-1,2)

A: Given: The cartesian coordinate (0,-1,2)

Q: find parametric equations for the given curve. Circle of radius 4 with center (3, 9)

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Q: What is Arc Relation. Explain please.

A: An ARC Relationship is an arc symbol used on a data model to indicate that two or more relationships…

Q: Determine the area of the right half of the cardioid formed by r = 7 +6 sine 14 12 10 8 6 4 -2 -4…

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Q: Parametrize the circle of radius 7 centered at (-2, 3) in the clockwise direction starting at…

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

Q: Cannot solve

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Q: Tangents are drawn to the concentric circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) at right angle…

A: We have to Show that locus of their point of intersection is a 3rd concentric circle and find its…

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: Given, the surfaces:               x+y2+2z=4,   x=1  Point: (1, 1, 1) Let         z = 1-2t

Q: Find a path that traces the circle in the plane y=5 with radius r=2 and center (-1,5, -4) with…

A: The radius if circle = 2 and center (-1,5,-4) The equation of such circle is given by: The…

Q: spherical coordinates arc

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Q: What are the new coordinates of the point (13, 28) under the dilation (x, y) - (7x, 7y)? O (101,…

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Q: Find parametric equation of a helix radius 5 from a point (5, 0 ,0) to a point (0, 5, 1)

A: Given that the radius of the helix is R=5. We know that the parametric equation of helix is given…

Q: How do you form a third concentric circle using chord, secant, and tangent and prove them in full…

A: Draw circle of any radius (say 5cm) centered at A.  Draw a secant line, intersecting the circle at D…

Q: The curve with parametric equationsx = (1 + 2 sin θ) cos θ, y = (1 + 2 sin θ) sin θis called a…

A: Given:

Q: Find the coordinates of the point at -90degrees on a circle of radius 4.9 centered at the origin.…

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Q: Does the point (3,4) lie inside, outside or on the circle centered at the origin with a radius of 5?

A: Given query is to find that point (3,4) is on the circle.