State the curve domain and coordinates of the point where the curve cross es the n-axis y: In (2x -5)

Q: Find the exact length of the curve.   y= 2/3x3⁄2,    0 ≤ x ≤ 4

A: Given query is to find the length of the curve for the interval.

Q: Find the exact length of the curve. x- 2, y=? - 2, Osts 6

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Q: Find the length of the curve y = xVa 0 <x < 1.

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Q: r = 3sin(Ɵ) Draw the curve, explaining it down to the smallest detail.

A: Given equation is r=3sinθ We have to draw the curve of r=3sinθ. First of all convert the given polar…

Q: Find the length of the curve y = 3/2 from a = 0 to a = 3.

A: Given curve is y=43x32   Length of the curve is L=∫ab1+dydx2      ......1 Here given a=0 and b=3 and…

Q: i) Find the cartesian coordinate of the point P(r, 0) = (-3, ). Plot the graph

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Q: Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

Q: Consider the curve y = 3x3, The sketch of the portion of this curve between x = - 1 and x = 8 is…

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Q: Find the exact length of the curve. y = 4 + 6x3/2, Osxs1

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Q: Identify the curve by finding a Cartesian equation for the curve r = 4secθ

A: The given curve is,

Q: Given the curve y = x3 + 3x, at what point is y' = y'' ?

A: As we know that, The Power law: ddxxn=nxn-1 The sum/difference rule: f±g'=f'±g'   Given: y=x3+3x And…

Q: Find the exact length of the curve. y = 4 + 4x3/2, osxS1

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Q: Find the exact length of the curve. y = 4 + 8x3/2, Osxs1

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Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY   Y2 = x2+5x−4/x−5

A: Given,           y2=x2+5x-4x-5

Q: Find the exact length of the curve. y = 5 + 8x3/2, osxs1

A: Given: y=5+8x32,   0≤x≤1

Q: Q2- Sketch the curve: y = (x+1)

A: The function given to us is  y=x(x+1)2

Q: (d) Find the points on the curve x'y = 60 nearest the origin.

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Q: Find a Cartesian equation for the curve and identify it. r2 = 14

A: We have to find Cartesian equation

Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

Q: find the eauatjo aof the nor ma l to the curve 2. (x + 3)?y =3y-3x2

A: For any curve y=f(x), slope of tangents and normal at any point x1, y1 can be given by mT=dydx(x1,…

Q: II FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY| 6. y =-4x-12 x²–2x-3

A: In the question it asked to find properties of the curve Y2=x2-4x-12x2-2x-3.

Q: Find the length of the curve. x- 4t°, y= 6t, 0sts 3

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Q: Find the lengths of the curves x = y2/3, 1 ≤ y ≤ 8

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Q: Find the length of the curve X= -y², 1≤ y ≤9

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Q: Find the exact length of the curve.   y = 1+ 6x3/2 , 0 ≤ x ≤ 1

A: Find the exact length of the curve.

Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: Find the exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y &gt; 0

A: Given: Find the exact length of the curve.

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: a) The curves y = x² and x = y?. b) The curves y = x² and y = } – x².

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Q: Find the exact length of the curve. y = 4 + 4x3/2, oSxS1

A:

Q: Find a Cartesian equation for the curve and identify it. r2 = 10

A: Given, We have a polar equation  r2 = 10

Q: Find the exact length of the curve. X √(y - 3), 16 ≤ y ≤ 25

A:

Q: Q2/ Find the equation of the circle tangent to the lines, y =-2x+3, y = - 2x+7, y-+늘and y- +글 %3D…

A: The lines given by y=-2x+3 and y=-2x+7 will be parallel to each other as they have the same slope m.…

Q: Find the lengths of the curves x = (y3/12) + (1/y), 1 ≤ y ≤ 2

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Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: Trace the curve y? = (x - 1)(2x + 3)(3x – 1). %3D

A: Trace the curve y2=(x-1)(2x+3)(3x-1)

Q: Find the length of the curve, L. y² = 4 (x + 5)* , 0 0

A: To find the length of the given curve

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0 sts 4

A: We find dx/dt and dy/dt

Q: FIND THE PROPERTIES OF THE CURVE (w/step-by-step solution) AND SKETCH FUL х2 — 4х — 12 y? - х2 — 2х…

A: The domain and range of any function can fully describe about the nature of any figure or curve. The…

Q: =r = 2 and r = 4cos.

A: Intersection points in polar coordinates given in the form as (r, theta).

Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Find the midpoint of the line segment joining the points P1 and P2 . Equation: y3 = x + 1Points: (1,…

A: Given y3=x+1 Points: (1, 2); (0, 1); ( - 1, 0)

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY 6. y2 = x²+5x-4 x-5

A: Given, the function y2=x2+5x-4x-5. We have to sketch the given curve. Also, find the properties.

Q: 24xy = y* + 48 dr y = 2 ke y = 4 а.

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Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 5< xs 6,

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Q: Find the angles at which the curve y=x3−x intersects the x-axis.

A: The angle at which curve intersect the x axis is determined by the angle of slope of tangent to the…

Q: Q1/ Find the equation of the circle tangent at least to three lines (y= 1, y= 5, x= 2 and x=7). 40%

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Q: Find the points on the curve x2y = 2 nearest the origin.

A: The curve is x2y=2 Let x1,y1 and x2,y2 be two points, distance betwwen these points is x2-x12+y2-y12

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.