hat is the families of the curve of all circles with fixed radius r and tangent to the x-axis

Q: Area of a regim enilosed is by Curves y= 12 and

A: To find the area enclosed by the given two equations

Q: If a circle rolls along a horizontal line without slippage, afixed point P on the circle will trace…

A: We know that if a circle rolls along a horizontal line without slippage, a fixed point P on the…

Q: Define tangency for general curves?

A:

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (4,). %3D

A:

Q: What are Bézier curves?

A: A curve is an infinitely large set of points. Each point has two neighbors except endpoints.

Q: Find the x Coordinate of the point on the graph of 4=x² where the to the Secant. Longent tine.…

A:

Q: A circle with radius 5 has its center at origin. What is the equation of the tangent line to the…

A: The equation of a circle centered at and has a radius r is defined by the equation, . The slope of…

Q: Of the infinitely many lines that are tangent to the curve y= -Sinxand pass through the origin,…

A:

Q: For a χ2-curve with 27 degrees of freedom, find the χ2-value having area 0.01 to its right.

A: It is given that, Level of significance=0.01 Degree of freedom =27 The χ2 critical value can be…

Q: Find the length of the following curve. y = 2x + 4 on 3-2, 24 (Use calculus.)

A:

Q: Determine the DE of the family of curves and sketch the family of the curves All circles with…

A:

Q: (a) What is the equation of the line that is tangent to the circle of radius 9 at (0, – 9) and whose…

A: Given:  A circle x2 + y2 = 92.  ---------------------------------------------------------…

Q: a. Circle of radius 1 and centers on the line y = x

A:

Q: 1. Find the equation of tangents to the circle x² + y² = 9 with slope 1.

A:

Q: Suppose a curve is defined by the equati on y2 = x*(2- x). What is the equation of the line tangent…

A: Given curve

Q: It is the intersection of a tangent line and a circle. Point of tangency Perpendicular O Radius O O

A: Use tangent and circle intersection concept

Q: Find to) - Isina the enclose by the Curve area and the line <x ハ

A:

Q: If the normal to the curve y-f(x) at the point(3,4) makes an angle of Pi with the positive x-axis…

A:

Q: find the length of the latus rectum of the curve rsin^2x=cosx

A: rsin2x=cosxLet us change into cartesian coordinates uvPut u=rcosx and v=rsinxr×v2r2=urv2=uThis is…

Q: How are the two secants segments drawn from the exterior point to the circle related to their…

A:

Q: A curve passing through (1, 0) is such that the ratio of the square of the intercept cut by any…

A: We have to find the possible curves that satisfies the given condition.

Q: What is the length of the curve y = sqrt(4-x2) from x = -2 to x = 1?

A: y=4-x2 Differentiating with respect to x, we get dydx=124-x2·d4-x2dx   ∵dxdx=12x=124-x2·0-2x=-x4-x2

Q: Find the center of 2 circles tangent to g² + y² = 100 at (6,-8) having a radius of 15 units O…

A: Use the following formulae, to obtain the solution. The slope of a line passes through the points…

Q: Let F=-yi+xj and let C be a curve consists of the line segment C₁ from (0,0) to (4,0) followed by…

A:

Q: Find the tangent line to the Witch of Agnesi (graphed here) at the point (2, 1). 8 y + 4 (2, 1) 1 2…

A:

Q: Find the exact length of the curve. 는x - - In(x), 1<x<6 4 2

A:

Q: Find the family of curves orthoganal to

A: Please see the explanation below

Q: The tangent line to a circle may be defined as the line thatintersects the circle in a single point,…

A: The tangent line to a circle may be defined as the line thatintersects the circle in a single point,…

Q: Describe the condition for a curve to be rectifiable between two points.

A:

Q: Find the slope of the tangent line to the circle r = 4cosθ at the point where θ = π/4.

A: Given- r=4cosθ To Find- The slope of the tangent line to the given circle at the point θ=π4.

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

A: Proceed as shown

Q: Find the coordinates of the point at -50° on a circle of radius 4.7 centered at the origin.

A: x=r cos θ , y=r sin θr is the radius, θ=-50°

Q: Find all points (if any) of horizontal and vertical tangency to the portion of the curve shown.…

A: Given  x=cosΘ+ΘsinΘ Y=sinΘ-ΘcosΘ We will find the vertical and horizontal tangent

Q: what the cquation of tine to the graph of the tangent is Y (x) = 3 x at X =0 2

A:

Q: Find the points where the line y=−x/4 intersects a circle of radius 8 centered at the origin. Give…

A:

Q: At what point of the curve y = cosh(x) does the tangent have slope 2? (x, y) =

A:

Q: Find the cuaatune of the curve dlefied by 1I cost Sin whore is

A: In the given question we have to find the curvature of the curve r→(t)=1rcost,1rsint,0where r&gt;0…

Q: Find the points on the curve where the tangent is verticle

A:

Q: How many lines are tangent to both of the circles  x2 + y2 = 4  and  x2 + (y − 3)2 = 1?   At what…

A: Given: The equations of circle are given as, Consider the parametric co-ordinates for the Eq. (A)…

Q: Find the length of the curve. (Hint: u-s

A:

Q: What is the radius of a circle whose center is at (-6,7) and is tangent to the y-axis?

A: Given that: center=-6,7 and tangent to the y-axis

Q: Determine the family of curves of all parabola's with axis parallel to the x-axis and with distance…

A:

Q: 2. Circles with fixed radius r and tangent to the y-axis.

A: Solution is given below:

Q: .3 The curve y3Dx+ x*-x has two horizontal tangents. Find the distance between these two horizontal…

A:

Q: Of the infinitely tmany lines that are tangent to the curve y=-4 sin(x) and pass through the origin,…

A: Answer is mentioned below

Q: What is the families of the curve of all circles with fixed radius tangent to the line x=4

A: Given: Families of the curve of all circles with fixed radius and tangent to the line x=4 Let h, k…

Q: Find the length of the curve over the given interval.

A: Answer and explanation is given below

Q: Find the length of the arc of the curve 9y2 = 4x³ from the origin to the point (4, ). %3D

A:

Q: Find an equation of the tangent line to the circle found in part c at the point of tangency of…

A: d. Firstly let's calculate the radius of the circle. The end points of the diameter is A73,94 and…

Q: 1 Find the length of the curve ソ= 9 from x =1 to x=2. 28x7,

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: