In the given question , find the arc length of the graph of the function over the indicated interval. y = 3 /2 x2/3 , [1, 8]

Q: f (x) = x3/2 on [0, 1]

A: Given that a function f(x) = x3/2 and we find arc length in interval [0,1]. We know that arc length…

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y…

A: Solution is written in below steps.

Q: Find the arc length of the graph of the function over the indicated interval. x = (1)/(3)(y2 +…

A: Given x=13y2+232 ,0 ≤ y ≤ 8.

Q: Find the arc length of the graph of the function over the indicated interval. y -m (anon).

A:

Q: In the given question , find the arc length of the graph of the function over the indicated…

A: Given: x = 13 y2+232,   0 ≤ y ≤ 4 To find: The arc length of the graph of the function over the…

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

A:

Q: 2 ind the arc length for f(x) = 6-2 x² over the interval [0, 2].

A:

Q: Find the arc length of the following curves on the given interval. 1 for 1 8y2" X = + 4 y . 2

A:

Q: In the given question , find the arc length of the graph of the function over the indicated…

A: Given y=23x32+1 , on interval [0, 1]

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

A:

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

A:

Q: FIND THE ARC LENGTH OF THE FOLLOWING FUNCTIONS. SKETCH THE GRAPHS. y = ln x from x = 1 to x = 2√2

A:

Q: In the given equation  , find the arc length of the graph of the function over the indicated…

A: The arc length of the curve y=fx  in the interval a,b can be calculated by using the formula ,…

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

A:

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 arc length of the graph of the following function over the interval [2, 3]. x4 f(x) 8 1…

A:

Q: Consider the function y (x) = ln (x), from (1,0) to (3, ln (3))   a) Calculate approximately the…

A: Length of curve

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

A: y=9x32-4To find the arc length from x=0 to x=1

Q: Find the exact arc length of the graph of y==x² -- In(x) where xe[1, 2e].

A: Given : f(x)=14x2−12lnx    on  x∈[1,2e]

Q: 1. If f(x) = 3x2/3 - 10, find the arc length of the graph from the point A(8,2) to B(27,17).

A: Note:  We'll answer the first question. Since the exact one hasn't mentioned. Please re-submit the…

Q: Find the arc length of the following curve on the given interval. y = 3x +7 on [-3, 1]

A: We know that the arc length of a curve y=f(x) on an interval [a, b] is given by L = ∫ab1+dydx2 dx

Q: 5. f(x) = - x/² on (0, 1].

A:

Q: In the given question , find the arc length of the graph of the function over the indicated…

A: Given: y=2x32+3, 1,8

Q: In the given question , find the arc length of the graph of the function over the indicated…

A: Given: y=lnsinx,    for x∈π4, 3π4.

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

A: To find arc length of y=lnex+1ex-1,      ln8, ln9

Q: Find the arc length of the following curve on the given interval. 27 x = 9t°, y = , 0stsV3 2 The arc…

A: We have to find length

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

A:

Q: Find the arc length of the graph of the function over the indicated interval.

A:

Q: Find the arc length of the graph of the function over the indicated interval.

A: Differentiating with respect to x, we get

Q: x = 4 sint, y= In(1+t), (-2<t <1).

A:

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

A:

Q: Find the arc length of the graph of the function over the indicated interval.

A:

Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: Given that  function  y=fx=lnx,1,8The formula for arc length of a curve y=fx over thhe interval a,b…

Q: Find the arc length of the graph of the function over the interval. y = In(sin z);

A: Given,          y=lnsinx ; π4,3π4

Q: 6: Find the arc length for the curve f(x) = (x – 1)/2 between x = 9 and x = 36

A:

Q: 1 + 8 Find the arc length of the graph of f(x) on the interval [1, 2]. Express your answer as a…

A: Given that, f(x)=x48+14x2 on the interval [1, 2]…

Q: 1.Find the arc length of the following graphs for interval x in [0,2]. a.f(x) = (x + 3)? %3D

A: The given function is f(x)=(x+3)2 and the given interval is [0,2] We have to find the arc length of…

Q: Find the arc length of the graph of the function over the indicated interval. x -vrv - 3), 1sys 9 X…

A:

Q: Find the arc length of the following curve on the given interval. x= 2t°, y = 3t, 0sts 18 The arc…

A: From the Arc length expression

Q: Find the arc length of the graph of the function over the indicated interval. X3= 3. 2)3/2, o syS 2

A:

Q: Find the arc length of the graph of the following function over the interval [2, 3]. 1 f(x) = 4x2

A:

Q: (3) Find the arc length of the given functions over the given intervals (a) f(x) = x² +x – 1 from x…

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

Q: Find the arc length of the graph of the function over the indicated interval. X = 1sys 25 (E - 4)A…

A:

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: Find the arc length of f(x) = In(sin(x)) for - 10 8

A:

Q: Find the arc length of the graph of the function over the given interval.          y = ln x, [1, 5]

A: Given, The function y = ln x in the interval [1, 5].   To find the arclength of the graph of the…

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. y = 8x2/3, from x = 1 to x = 8 %3D…

A: The curve is y=8x2/3

Q: 2. FIND THE ARC LENGTH OF THE FOLLOWING FUNCTIONS. SKETCH THE GRAPHS. 6xy = x^4 + 3 from x = 1 to x…

A: Given : 6xy = x⁴ + 3 from x = 1 to x = 2

Q: Find the arc length of the graph of the function over the indicated interval.

A: Giveny=23(x2+1)32

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.