Find the distance between the points (21, 4) and (3, 26). Give the exact distance and an approximation to 2 decimal places

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

A: The solution is given as follows

Q: Find the points where the tangent is parallel to OX. y = x4 - 8x3 + 22x2 - 24x + 9

A: Given: y=x4-8x3+22x2-24x+9.

Q: Please show step-by-step solution!

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Q: Find the length of the curve y ' = 8x from x=1 to x = 8 www

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Q: y 2 = 5x at (2, –1)

A: Find the tangent line to the given circle as directed. 2x 2 + 2y 2 =  5x  at (2, –1)

Q: Find length of arc of the curve 9y2=4x3 from the origin to the point (3, 2√3)

A: Given curve is 9y2=4x3, and the point is 3,23.   The objective is to determine the length of arc of…

Q: Find the length of the curve y2 = x3 from the origin to the point where the tangent makes an angle…

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

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Q: Find equations for the tangent lines to the graph at the given points. 7ху + x %3D 8, (1, 1) and (8,…

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Q: Find the distance between the points (2, -- and (F,5 Distance- Preview(Round your answer to two…

A: Formula for calculating the distance between two points (x1,y1) and (x2,y2) is the squareroot of…

Q: Find a number 0 such that the tangent of 0 degrees is larger than 50000. 42.

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Q: Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)

A: The equation for the lemniscate

Q: Find the slope of the tangent line to the graph at the given point. 4xcosy+1=5 at the point…

A: To find the slope of the tangent line we need to find dydx.…

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

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Q: Find the points where the line y=x4 intersects a circle of radius 2 centered at the origin. Give…

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

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Q: Find the exact length of the curve y3 = 22 from (-1,1) to (8, 4).

A: Use formula of length of curve

Q: Find a positive number 0 such that the tangent of 0 degrees is less than -90000. 49

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Q: Find the exact length of the curve. 1 y = 1 + cosh(8x), 0 ≤ x ≤ 1 8

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

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Q: Find the distance between the points (-1,4) and (3, -6). Give the exact distance and an…

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Q: Determine the tangent to the curve 3y2 = x3 at (3,3) and calculate the area of the triangle bounded…

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Q: Use four equal-length Hermite curves to interpolate y = sin(x) in the interval [0,2π].

A: To interpolate y = sin(x) in the interval [0,2π] using four equal-length Hermite curves

Q: The center is at (5,-11), and it is tangent to the x-axis.

A: Given that, the center of the circle is (5,-11) and it is tangent to the x-axis.   So, the altitude…

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: A curve like Y = is called a serpentine. 1+2x2 3 n equation of the tangent line to this curve at the…

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Q: The first branch of a reverse curve has a radius of 200 m. If the distance between the tangent…

A: Given: radius of first branch of reverse curve=200 meter, the distance between the tangent…

Q: Find the distance between the points (−2, 2), (4, −6) using (a) the Distance Formula and (b)…

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Q: Find the exact length of the curve. 1 x² -In(x), 1< x < 8 4

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Q: What would the slope of the tangent line be at the point 3,3 on the folium of Descartes x^3+y^3=6xy…

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Q: the length of a tangent drawn to a circle of radius 3.2cm from a point which is 6.5 cm away from its…

A: It is problem based on circle  A straight line drawn from centre to its tangent is perpendicular  I…

Q: 11

A: A tangent is a line segment which touches the circle at only one point. A tangent is perpendicular…

Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units

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

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Q: Write down the slope, of tangents of circle x +y2 =25 parallel to order 3x- 54 +8=0

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Q: Find the length of the tangent line segment from (9. 13) to the circle x2 + y2 = 25.

A: The tangent to circle is the line that touches the circle at a point. The line from center of the…

Q: Determine the length of the latus rectum of the curve y² = 8x

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

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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: By total differentiation, determine or find the approx. change in the length of the hypotenuse of a…

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

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Q: Determine the area of the triangle formed by the tangent to the graph of the function y=3-x2 drawn…

A: Given,            y = 3 - x2 , and the point 1, 2

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

A: Answer and explanation is given below

Q: Find the tangent plane to the equation 5e* бу at the point (12, 24, 5) Z =

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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: Find the exact length of the curve over the given interval. 2sxs3 4x'

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Q: Approximate the length of the curve accurate to two decimal places

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Q: Find all points on the curv of the tangent line is -1.

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Q: Find the exact length of the curve Lou

A: We have to find arc length of curve in required interval .Curve equation is shown below: