3 The arc length of the portion of the curve y=x 2 with 0

Q: Find the arc length of the curve y = x² from x = 0 to x = 1.

A: Given: y=x2, x∈0,1 We know that for any given curvey=fx on intervala,b, arc lengthL is given by…

Q: d the arc length of the curve y=(x^2)/2 - (lnx)/4 O

A: Explanation and solution is given below....

Q: Find the arc length of the graph of y = ln(sin x) from x = π /4 to x = π/2.

A: The formula to find arc length of a curve f(x) from x=a to x=b is, L=∫ab1+f'(x)2dx.

Q: 2:(b) Find the exact arc length of the curve x=e"(sint+ cost), y=e" (sint – cost) over the interval…

A: Given

Q: <ys 2 2

A: We have to solve given problem:

Q: Find the arc length of y=((x^3)/6) + (1/(2x)) with the interval of [(1/2), 1].

A:

Q: Find the arc length of the graph of the function y=ln(cosx)y=ln(cosx) over the interval…

A:

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

A: As we know that; The expression for the length of arc of the curve is: L=∫ab1+dydx2dx The Power…

Q: 1. Find the arc length of the curve y = 4xi + 3 from x = 1 to x 2. Leave your answer as a radical.

A:

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: 3 Find the arc length of the curve x -3y from y = 0 to y = 4.

A: The expression for the arc length of the curve is: L=∫ab1+dxdy2dy Given: x=-3y32a=0 &amp; b=4 Now…

Q: Find the arc length of the graph of y = ln(cos x) from x = 0 to x =π/ 3 ?

A: y=ln(cos x) from x=0 to x=π3

Q: I need to solve this question

A: Given curve is Differentiating with respect to y, we get

Q: Find the arc length s of the curve y= x2 on the interval  [0,2]

A: The objective of the question is determine the arc length of the given function.

Q: Find the arc length function for the curve y=  sin inverse x  + sqrt ( 1 - x sq. ) with starting…

A:

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

A:

Q: 3. Find the exact arc length of the curve I = y+}y2 from y = 1 to y = 4.

A:

Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: Find the arc length function for the curve y = 2x/2 with starting point Po(25, 250). s(x) =

A:

Q: 3/ 10. Find the arc length of the curve y = x/2 +4 from x = 4to x = 9.

A:

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: Find the length of the arc of the curve y=x+3 from the point where y=2 to the point where y=x^2+1…

A: y=x+3  ⇒x=y-3⇒dx=dy⇒dxdy=1 The formula for the length of the arc from the point y=2 to y=x2+1…

Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: 1. Find the exact arc length of the curve 24.xy = y* + 48 %3D from y = 2 to Y = 4.

A: To find the exact arc length of the curve,24xy =y4+48from y=2 to y=4.

Q: What is the arc length of the curve x = (1/2)y2 - (1/4)ln y from y = 1 to y = e?

A: Here, we have given x is a function of y. So, we will use the following formula for finding the arc…

Q: 1. Find the arc length of the curve x = r=(y²+ 2)2 from y-0 to y-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

A:

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

A:

Q: 3. Find the arc length of the curve 24xy y+ 48 from y-2 to y-4 1 to from

A:

Q: Find the arc length of the graph of the function y=ln(ex+1ex−1)y=ln(ex+1ex−1) over the interval [[…

A:

Q: 5. Find the length of the arc for x = 3 - Jy from y = 0 to y = 4

A:

Q: 1 Find the length of the arc of y= from x = 1 to x = 3. 2x

A:

Q: 1. Find the length of arc of the curve y = In x from x = 3 to x = 9. |

A: As per our guidelines only one question can be answered. Please Repost the remaining questions. The…

Q: Given x = y² + y + 1 from 0 ≤ y ≤ 2

A: To find the arclength of the following curve

Q: Find the exact arc length of the curve over the stated interval. = 3x3/2 – 2, from x = 0 to x = 1…

A: We have to find the arc length of the curve over the stated interval.…

Q: 4. Find the arc length of the curve x=y+y from y-1 to y-4

A:

Q: 4. Find the arc length of the curve y* +y from y31 to y-4 X%3D

A:

Q: Find the exact arc length of the curve over the interval from y = 1 to y = 4 1 1 + -2 x =

A:

Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

A:

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

A:

Q: 3. Find the arc length of y = 3x3/2 on the interval 1<x< 3 %3D

A:

Q: Find the arc length of the graph of x = 1 8y4 + 1 4y2 over the interval [1, 2].

A:

Q: 4. Find the arc length of the curve x= - y* + ÷y¯² from y=1 to y=4

A: We have to find the arc length from the given condition

Q: Find the arc length of the graph of y = ln(cos x) from x =  0 to x =  /3.

A: We know that, the general formula for Arc length of a curve is given as Arc lengthL=∫x=ax=bdSWhere,…

Q: x= - y2 from y=1 to y=9 1/2

A:

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: 1. Find the arc length of the curve f(x) = 3 4 (x + 2)2 on the interval [0, 4]. 3

A: Find the arc length

Q: Find the exact arc length of the curve over the stated interval. y = 3x/2 - 2, from x = 0 to x = 1…

A:

Q: 1.) Use the arc length formula to find the length of the curve y = 3x + 2 on the interval 0 ≤ x ≤ 3.

A: Given data  y=3x+2 Interval ÷ 0≤x≤3 Formula for arc length is given by  L=∫ab1+dydx2dx

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.