The length of the curve y =V? -x? , from x=0 to x= r/6 is Note : arcsin(x) = sin 1x Select one: Onr Or arcsin( 6 ) Or arcsin( 1/6 ) Or arcsin( r/6 ) O None

Q: Given curve with parametric equations x=3t2 -4 and y = sin(-3/2(pi)t) What is the definite integral…

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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 %3D…

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Q: Find the length of the curve y=Arc sin e^x when y= pi/6 to y=pi/2

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Q: Find the arc length of the graph y = (3/2)x2/3 from x=1 to x=8. Hint: Round your answer to three…

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Q: Find the exact arc length of the curve over the stated interval. 48xy = y4 + 192, from y = 3 to y =…

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Q: Find the exact arc length of the curve over the stated interval. 24xy = y4 + 48, from y = 2 to y= 4…

A: The expression for the arc length of the curve is: L=∫abdxdy2+1dy Given: 24xy=y4+48a=2, b=4

Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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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…

A: The expression for the arc length of the curve is: L=∫x1x21+dydx2dx   Given; y=8x23x1=1 & x2=8

Q: Find the length of arc of the given curve. 5. R= (sin 2t , cos 2t , 2t³/2), 0 sts1.

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Q: Find the arc length in the second quadrant of the curve x23 +y2/3 = 25 from x = - 125 to x = – 8.…

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Q: Consider the curve VI(y – 3)/3. Find the arc length of this curve over the interval 1 < y < 9.

A: Find dx/dy using power rule

Q: Find the exact arc length of the curve over the stated interval. 1 x = y=?, from y = 1 to y = 4…

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Q: Find the exact arc length of the curve over the stated interval. y = 9x³/25, from x = 0 to x = 1…

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Q: Find the exact arc length of the curvex = + 2)7 from y = 1 to y = 8. Enter the exact answer. L% =

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Q: Find the exact arc length of the curve over the stated interval. 48xy = y4 + 192, from y = 3 to y =…

A: Given, 48xy= y⁴+192 x= (y⁴/48y) + (192/48y) x= (1/48)y³ +(4/y)

Q: Find the length of arc of the curve 6xy = x* + 3, from the point where x = 1 to the point where x =…

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

Q: Find the exact arc length of the curve over the stated interval. 24.xy = y + 48, from y = 2 to y = 4…

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Q: Find the arc length of the curve below on the given interval. 1 y%3= (x +6) 2 on (0.3] 3/2 on [0,3]

A: We find dy/dx using the power rule and chain rule

Q: Find the exact arc length of the curvex = + 2) from y = 2 to y = 7. Enter the exact answer. L =

A: We have to find the exact arc length of the curve.

Q: Find the exact arc length of the curve over the stated interval. 1 1 Gy, from y =1 to y = 3 12 NOTE:…

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Q: Find the exact arc length of the curve on the given interval. Parametric Equations Interval x = 6…

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Q: find the arc length of the curve on the given interval:

A: We find dx/dt and dy/dt

Q: Find the arc length in the second quadrant of the curve x23 + y23 2/3 = 9 from x = - 27 to x = – 1.…

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Q: Find the exact arc length of the curve over the stated interval. 1 1 マシ -2, from y 1 to y = 2 NOTE:…

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Q: Find the length of the curve y = cosh(x), 0 < x < 1. Arc length : %3D

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Q: Find a°y*dx where C is the arc of the curve x = = y? from (0,0) to (9,3)

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Q: Find the exact arc length of the curve over the stated interval. y = 7x%/2 – 2, from x = 0 to x = 1…

A: Here we have to find the arc length of the curve y=7x32-2 from x=0 to x=1

Q: Find the exact arc length of the curve over the stated interval. y = 9x3/2 – 4, from x = 0 to x = 1…

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Q: Find the exact arc length of the curve over the stated interval. 1 x = 12 1 from y = 1 to y = 3…

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Q: Find the exact arc length of the curve over the stated interval. y = 5x3/2 – 5, from x = 0 to x = 1…

A: Explained below

Q: Find the arc length of y (x + 7)3 + (x + 7)-1 for 1 < x < 2. (Give your answer to three decimal…

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Q: Find the length of arc of the given curve. 5. R= (sin 2t, cos 2t , 2t³/2), 0 sts1.

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Q: Find the exact arc length of the curve over the stated interval. y = 5x/2 – 2, from x = 0 to x = 1…

A: The given arc is: y=5x32-2 ;              0≤x≤1

Q: Find the exact arc length of the curve over the stated interval. 48xy = y4 + 192, from y = 3 to y =…

A:

Q: Find the arc length of y = (x + 4)° + (x + 4) for 1 < x < 2. Give your answer to three decimal…

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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. 36.xy = y + 108, from y = 2 to y =…

A: Given, Curve : 36xy=y4+108 from y=2 to y=5 To find: Exact arc length of the curve.

Q: Find the arc-length of the curve on the given interval and sketch the curve, x=e^-t cos t, y=e^-t…

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Q: Find the arc length of y = +(x + 2)³ + (x + 2)-1 for 1 < x < 2. (Give your answer to three decimal…

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Q: y%3D 2) + 1)3/2 3 4 2- y=a?+ 1)2 + 1 2 3 4 3.

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Q: Find the exact arc length of the curve over the stated interval. y = 4x2/3, from x = 1 to x = 64 %3D…

A: NOTE: Refresh your page if you can't see any equations. . take  derivative

Q: Find the arc length of the graph of the function over the indicated interval. 3/2 x2 + 1 y = y

A: Here we need to find arc length of y from x=0 to x=1

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

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Q: Find the exact arc length of the curve over the stated interval. y = 4x2/3, from æ = 1 to x = 64…

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Q: Find the exact arc length of the curve over the stated interval. y = 5x2/3, from x = 1 to x = 8 %3D…

A: As we know that; The expression for the arc length of the curve is; L=∫x1x21+dydx2dx From the given…

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

A: The curve is y=8x2/3

Q: Find the exact length of the curve. y = In(cos(x)), 0 s xs- TO 6. Need Help? Read It

A: Given problem:- Find the exact length of the curve.   y = In(cos(x)),   [0, π/6]

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

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

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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.