Illustrate the graph sketching of the curve y = 1/3x3 + 1/4x , x>0 b) By using (a), find the arc length function for this curve with starting point P0 (1, 7/12). Hence, discuss one method to support your answer

Q: a) Find the arc length of the catenary y = coshx between X 0 and x = In4. b) Graph the functions y =…

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Q: a)Find the exact arc length of the curve 24xy = y^4 + 84 from y = 2 to y = 4

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Q: Find the length of the arc of the parabola  x^2 = 4y from x = -2  to x = 2.

A: I am attaching image so that you understand each and every step.

Q: Find the arc length of the function y = x2 + x - 2  on the interval [-2,1].

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Q: (). (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < T, with starting point…

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Q: Find the arc length of the graph by partitioning the x-axis. 9y2 = 4x3, from x = 0 to x = 7; y ≥ 0

A: we have to find the arc length of the graph by partitioning the x-axis 9y2 = 4x3, from x = 0 to x…

Q: Find the arc length function for the graph of ƒ(x) = 2x^(3/2) using (0, 0) as the starting point.…

A: Given:

Q: Find the arc length of y=sqrt(4-x^2) -2<=x<=2

A: The equation of the curve is given by y = 4-x2 : -2≤x≤2 To evaluate : The arc length.

Q: 1. Find the length of arc of the curve y = () from the point where x = to the point where x = 2.

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Q: Find the length of the arc of the given parabola: x²=4y from x=-2 to x=2

A: We know that the length of the arc of the parabola y=f(x) from x=a to x=b is given by L = ∫ab1+dydx2…

Q: a) Find the arc length function for the curve y = In(sinx ) , 0 &lt;  x   &lt;πwith starting point…

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Q: 8. Find the arc length of y' + y = x² + 6x on the interval [-5, – 1). 9. Using the same arc in…

A: Arc length is the distance between two points along a section of a curve. Formula for finding arc…

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: Find the ARC LENGTH of y = /100 – x² on the interval [-6, 8). Show all of your work supporting each…

A: Given that: y=100-x2   on the interval [-6, 8]

Q: ow could we find the arc length of the curve y = (1/16)x^4 + (1/2)x^(-2) from x=1 to x=2?

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Q: Find the arc-length of the curve y=ln(x^2) on the interval [1,2]. Show all your work, each and every…

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Q: Keparametrize the curve rit) = with respect to its arclength measured from the point (e"20,e"2) in…

A: Given curver(t)=etsint,etcost,et Above curve is passes from the point eπ2,0,eπ2.we need to find the…

Q: Consider that the geometry of the arc for billboard for the pool is following the hyperbolic…

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Q: Find the arc length function for the curve y = sin-lx + V1 - x² with starting point (0, 1).

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Q: length of the curve. y=coshx between x 0 and x In 2. 2. Find the arc %3D exact -2- 1. 0. 2.

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Q: 1. Find the length of the arc of the cycloid: x = t - sint, y = 1 – cost , 0st<2n

A: given that x=t-sint, y=1-cost, 0≤t≤2π find the length of the arc of the cycloid we know that length…

Q: Find the arc length of the graph by partitioning the x-axis. y = x3/2 + 2, from x = 3 to x= 5

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

A: The formula for arc length is L=∫abf'x2+1dy.

Q: Find the arc length of the catenary y = coshx between x = 0 and x = ln4.

A: Given: y = coshx between x = 0 and x = ln4.

Q: Find the arc length of the graph of y=(1/3)x^(3/2) from x=0 to x=8

A: Arc length of the graph y from point a to point b is:

Q: Find the arc length of the graph of y = -- 2 over (0,4].

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

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Q: Find the arc length of the curve on the interval [0, 2n]. Hypocycloid perimeter: x = a (cos(6)), y =…

A: Given, Since, The arc length of the curve: The arc length of the curve =  6a

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: Find the arc length of the graph by partitioning the x-axis. y = x2/3 + 1, from x = 1 to x = 64

A: We first find dydx using the power rule. y=x23+1dydx=23x23-1dydx=23x-13

Q: Discuss the Arc length given that X (0,4) = (CoseSino, SinOSino, Cos4) of the curve 0 = logSin( –…

A: Given: Given that, X→θ,φ=cosθsinφ,sinθsinφ,cosφ of the curve θ=logsinπ2-t , φ=π2-t,  0≤t≤π2

Q: Find the arclength of y = 3x2 -5 on x is greater than or equal to 0 and less than or equal to 2

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Q: 4) Determine the equation for the shortest arc that passes through the point (0, 0) and (1, 0) and…

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Q: Find the arc length function for the curve y2 = x³ taking Po(1, 1) as the %3D starting point.

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Q: > a. Use shifting graph to sketch y =1- /2-x x =-(y² +2)% for 0sysl b. Find the arc length of the…

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Q: Why does the arc length formula require that the curve not intersect itself on an interval, except…

A: Why does the arc length formula require that the curve not intersect itself on an interval, except…

Q: 28, Find the equa tion of arcle with Centre c(2;3) and touches the x-axis.

A: By using equation of circle formula, we find the required equation of circle.

Q: 1. Find the arc length of the curve x (y²+ 2) from 2. Find the arc length of the curve y + from x-2…

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Q: Find the arc length from x=0 to x=100 of the catenary: 150cosh(x/150)

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Q: Calculate Sc 2xyds, where C is the arc of x²+²=4 from the point (2,0) to the point (1,√3)

A: We know that ∫C f(x,y) ds=∫ab f( x(t), y(t) ) dxdt2+dydt2 dt

Q: 1. Find the arc length of the curve x = (y + 2)2 from y-0 to y-1 2. Find the arc length of the curve…

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Q: x = arcsin t, y = ln/1 – t² 0 <15

A: Given:

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: Find the length of the arc of the parabola y sq = x from  ( 0, 0 )  to ( 1,1)

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Q: Find the exact arc length of the curve over the stated interval. y = 8x2/3, from x = 1 to x = 8…

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Q: Find the exact arc length of the curve over the stated interval. 1 1 + -1, from y = 1 to y = 3 x =…

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Q: Find the length of the arc of the parabola y sq = x cu .  from  ( 0, 0 )  to ( 1,1)

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Q: 1. Find the arc length of the curve y = on the interval [0, 60]. n i len

A: Answer is 168 Explanation is given below..

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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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.