Find the length of the curve 24ry = y' + 48, 2

Q: Find the exact length of the curve 2 y = (x²– 1)3/2, 1< x < 3. Arc length =

A: We will use the arc length formula to.find the arc length of the curve.

Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

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Q: Find the ordinate of the center of curvature of the curve y² = 4x at point (2, 4) from the x-axis.

A: Given option are wrong, option c should be '-16'.

Q: Q1) Find equation of line normal to plane 3x + 2y - z = 5 and pass through Origin point. 30 mark

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Q: The curve with parametric equationsx = t, y = 1 - cos t, 0 ≤ t ≤ 2πis called a sinusoid. Findthe…

A: The slope of the tangent is:

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: The line is tangent to the curve y=x2−3 at (2,1). What is the equation of the normal line?

A: On solving this we will get

Q: Find the length of the curve Arc length = UT → y² = 4x, 0≤ y ≤ 2.

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Q: Find the length of curve - Vsec*t-1 dt -<ys=

A: To find- Find the length of curve x = ∫0ysec4t - 1 dt, -π4 ≤ y ≤ π4

Q: Determine the Arc Length of the Curve. x=(2y3/3)+(1/8y) for 1≤y≤2

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Q: Find the arc length of y3 + y = x2 + 6x on the interval [ -5, -1 ]. Also, determine the surface of…

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Q: Find equation of line normal to plane 3x + 2y- z = 5 and pass through Drigin point.

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Q: The curve with parametric equationsx = t, y = 1 - cos t, 0 ≤ t ≤ 2πis called a sinusoid. Findthe…

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Q: Find the arc length of the curve x = -2y³/2 from y = 0 to y = 10. Length =

A: The given curve is x=-2y32 from y=0 to y=10. Find the arc length. As we know the formula of arc…

Q: Find the length of the curve y = 4x, 0<y< 2. Arc length =

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Q: Find the length of arc from (0,0) to (4,4) of the curve x = 2/y.

A: given curve     x=2y            we have to   find the arch length fro (0,0)  to  (4,4)now  x=2y ⇒…

Q: set up intergral for the length an of the Curve 3T y%3DZ0* sin cx), 04XE

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Q: Find the equation of the tangent plane to the surface 3 – 12y – sin(r*:) = 0 at the point (2, 1,0).…

A: To find gradient of the function.

Q: Calculate the length of arc of y = 2x/² for 0≤x≤1

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Q: Find a curve through the origin in the xy- plane whose length is given by 1/2 L = [; (1+ *)"* dx 4

A: The arc length, L of a curve y=f(x) in the interval a,b is calculated using the formula below.…

Q: Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

A: Integration √1+(f'(y)) 2dy

Q: Find the arc length of the curve x = (10 – 2y)³/² ,-3 < x<

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Q: Find parametric equations for the tangent line to the curve of intersection of the cylinders x = 74…

A: given curves x2+z2=74 , y2+z2=74 , point 5,-5,7  to find parametric equations for the tangent line…

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

A: Explanation of the answer is as follows

Q: How would you evaluate |F-dr, where C is the curve with param etrizati on r(t) for astsb?

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Q: A particle moves along the path y = x^3 with unit speed. How fast is the tangent turning (i.e., how…

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Q: 4. Find the radius and center of curvature of the curve y=6x-x³ at the point (1,5).

A: This question is based on radius and centre of curvature formula.

Q: Find the arc length of the curve y= 7x+4 On the interval 3

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Q: Use newtons method to approximate all intersection points of the following pair of curves y= 3 ex…

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Q: Find the length of the curve y = = cosh(x), 0 < x < 1. Arc length =

A: Arc length of a curve y=f(x) on [a,b] is given by, L=∫ab1+y'2dx ddxsinh(x)=cosh(x)…

Q: Find the exact length of the curve. y = 6 + cosh(3x), 0s x 8 중이nh(3) sinh(3)

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Q: Find the arc length of the curve y = 2/3x 3/2 from (1, 2/3) to (2, 4/ 3).

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

Q: Find the arc length of y = ²√x(3-x) for 0 ≤ x ≤ 3. - Express your answer in decimal form rounded…

A: Given problem:- Find the arc length of y = (1/3)√x(3-x) for 0 ≤ x ≤ 3.

Q: Find equation of line normal to plane 3x + 2y – z = 5 and pass througl Origin point.

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Q: Find the arclength of the curve y = x – In x if < y< -1. Do not simplify your answer for this…

A: Given: y=18x2−ln⁡x if 18≤y≤e28−1 ⇒f(x)=18x2−ln⁡x if 1≤x≤e The arc length of the portion of the graph…

Q: parametrically

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Q: Find reparametri zations two Curve aLt)=(t, Cosht, o, teR.

A: The general form of the parametric equation of the curve in three dimensional space is given by…

Q: Find the arclength of the curve: y = 5(x + 2)3/2,2 <x<7

A: The arc length is given by, S=∫ab1+f'x2dx   Find the derivative of the function y=5x+23/2.…

Q: Q1) Find equation of line normal to plane 3x + 2y - z = 5 and pass through Origin point.

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Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A: See the details solution in below

Q: What is the arc length of the curve of x5 y = + 10 1 6x3 from x=2 to x = 5?

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Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:…

Q: Find the Surface avea Gevereatel by vevoluing the curve y-2r coso about te x-axis X-Sine

A: According to the given information, it is required to find the surface area generated by revolving…

Q: What is the radius of curvature at point (1, 2) of the curve 4x - y2 = 0.

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Q: Find the exact length of the curve x3 y = 6. 1 <x < 1. 2x Arc length

A: we have to find the arc length of the given curve

Q: 2) Find the cartesian eauation for the olar curve r=tan e sece ×ニy )yニxと 2.

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Q: Find the arc length of the curve y = 8sin리플 t-1 dt for -2<x<2.

A: