If a circle rolls along a horizontal line without slippage, afixed point P on the circle will trace out a curve called a(n)______

Q: Draw a smooth curve starting at point C and tangent tő the line segments. Label the other end of the…

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Q: Consider the curve z = 1 – 3t, y =t-3t. If tangent at point (1- 3t, t- 3t) inclined at an angle 0 to…

A: Consider the curve x=1-3t2,y=t-3t2If the tangent at point (1-3t2,t-3t2) inclined at an angle θto the…

Q: Determine the DE of the family of curves. Sketch the family of curves. All circles with centers on…

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Q: A line is tangent to the curve y = 3x1 and is bounded by the r- and y-axis in the first quadrant.…

A: Let's find.

Q: 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x = to…

A: If a function f(x) is defined over an interval [a,b], then the formula for arc length is: Formulae…

Q: Find the length of the arc of the curve from point P to point Q. x2 = (y – 4)³, P(1, 5), Q(8, 8) %D

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Q: Find the equation of the locus of the center of the circle which moves so that it is tangent to the…

A: Find equation of locus :

Q: 1- Find all of the points where the curve r = 2 cos (-) intersects the circle of 3, radius v2…

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Q: A tangent line from a point to a circle touches the circle in two points. True or False? O True O…

A: A tangent line from a point to a circle touches the circle in two points.True or False?Answer   :…

Q: 5. Tangent B. Determine the center and radius of each circle: 6. x2 + y2 =16 7. (x-2 )2+ y2 - 13 8.…

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Q: Determine the DE of family of the curves. Sketch its representative members. Circles tangent to the…

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Q: 4. Sketch the graph of the curve y = Vĩ and the tangent line in the Cartesian Plane using a scale of…

A: Given curve y=x

Q: A circle is tangent to the line 2x-y+1=0 at the point (3,5) and the center is on the x+y=9. Find the…

A: Given that equation of tangent to the circle is  2x-y+1=0 at point (3,5)

Q: 1) Find the limited Zone of curves piven! area the remaining bet ween the 2. y = 9= x² and

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Q: Find the length of arc of the curve 6xy = x* + 3, from the point where x = 1 to the point where x =…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the exact length of the curve. 23/2, Osxs 6

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Q: Given that the tangent and normal to a curve at point P(x, y) meet the x-axis in A and B…

A: It meets the x axis in A and B respectively and y axis in D and E respectively.To Find: Family of…

Q: Find the equation of the tangent line to the cycloid generated by a circle of radius r = 1 at t =…

A: Solution:- let t be the angular displacement of the circle and the equation of a cycloid generated…

Q: Find an equation of the circle that satisfies the given conditions. Circle lies in the first…

A: Solving the equation, we start by determining the center of the circle. Since the circle is a…

Q: Find the length of arc of the curve 6xy = x^4 + 3, from the point where x=1 to the point where x=2

A: The given curve is: 6xy=x4+3 y=x46x+36xy=x36+12x Differentiate it: dydx=3x26-12x2dydx=x22-12x2

Q: Find the length of the arc of the curve y=x+3 from the point where y=2 to the point where y=x^2+1…

A: y=x+3  ⇒x=y-3⇒dx=dy⇒dxdy=1 The formula for the length of the arc from the point y=2 to y=x2+1…

Q: Find the arc length of the segment of the curve between the lines x-1 and x-16

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Q: Find the equivalent DE for the given family of curves 1. All circle center at the origin. 2. all…

A: Let's find.

Q: Find the 0lar eauatiDo for the curve represented by the given Cartesian euation.

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Q: Use Simpson’s Rule with n  =6  to estimate the length of the curve x  =t - et -6<t<6

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Q: Find the length of the arc of this curve and Sketch the curve y cu. = x sq.  from ( -1,1 ) and ( 8,4…

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Q: Some of the curves corresponding

A: The differential equation can be solved by isolating the variables. The value of the constants…

Q: etermine the distance from the point (8,10) to the farthest point on the circle x2+y2=16y Ans:…

A: answer is in next step . please give a like !!

Q: Between z=-2.00 and z=2.00

A: Obtain the area under the normal curve between Z=–2.00 and Z=2.00. The area under the normal curve…

Q: Trace the curve r = sinocos'o. 2)

A: Given: r=12sin3θcos3θ Explanation: r=12sinθcos3θat θ=0r=12sin0cos30=0⇒r=0at…

Q: Circles with fixed radius r and tangent to the x-axis.

A: The general equation of the circle with center (h, k) and radius r is given by  (x-h)2+(y-k)2=r2

Q: point on a curve at which the concavity changes sign from plus to minus or from minus to plus.

A: Topic:- calculus

Q: find the diff eq. of the family of curves described. draw atleast 3 members of the family. all…

A: Given circles has radius k and center is on y=x

Q: Find the length of the arc of the curve x2 = (y − 2)3 from P(1, 3) to Q(8, 6).

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Q: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

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Q: Q: Show that the curve such that the ratio of the distance batween the normal at any of its points…

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Q: A tangent line from a point to a circle touches the circle in one point only. True or False? O True…

A: True

Q: A tangent line to y=1/x^2 intersects the x-axis at the point A and the y-axis at point B. What is…

A: Please note: The line tangent to the given function intersects the x-axis at a point A and the…

Q: 1 y == (x² + 4)°%2 ,0 sxS 2 (x2 + 4)°/2 ,0<x< 2 6. deur die berekening van die volgende bej…

A: The given function y is - y = 16x2+432     ........(1)Formula for calcualting the lenght of a curve…

Q: IFind the exact length of the curve x= 3t -t, y=3t² ,0<t<2 ||

A: We have to find the exact length of the curve. The length of the curve is given by

Q: Find the exact length of the curve. 23/2 12, 0 <x < 1 y =

A: Given : y=23x32,       0⩽x⩽1   To find : Curve length

Q: 15. y= -(x +2)12; x=0 dan x=3 e kadar.

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Q: the arclength of the curve y = on 3

A: We will solve the problem.

Q: 10. Circles tangent to the x-axis.

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Q: Find the length of the arc of the curve x2=(y-2)3 from P(1,3) to Q(8,6).

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Q: Find the equivalent DE for the given families of curve: all circles center at origin.

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

Q: find the length of the arc of the curve from point k(8,8) to m( 1,5) X^2/3 -y = -4

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Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

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