Find the arc length of y=sin(πx) on [0,2]

Q: Find f'(x). f(x) = (1 – 7x)10

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Q: Find the arc length of the curve ä = Length = 7y³/²2 from y = 0 to y = 10.

A:

Q: Consider the curve f(y) = -y + for 1 <y<2. Find the arc length of the curve.

A: The curve is fy=18y4+14y2 where 1≤y≤2. The arc length of the curve fy on the interval a,b is defined…

Q: what is the arc lenght of  the curve y=ln(sinx) between th points x=pi/3 x = 2pi/3 ?

A:

Q: Find the length of the curve F(t) = (eỗ cos (‡), eỗ sin(‡), eś) for 0 ≤ t ≤ 2. Arc length =

A: To find arc length of the curve

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: Find the arc length of the curve y =(2²-8 In(z)) from z = 2 to z = 5. Length = 0

A: From  to

Q: Find the arc length of the graph of (v-1)³ = x² 1 <y<5.

A: Given that y−13=x2 and 1≤y≤5. We have to find the arc length of the graph of y−13=x2 and 1≤y≤5.…

Q: For the curve r-y +2xy-y+1=0: a) Find the derivative dy/dx. b) Where do the horizontal tangent lines…

A: follow the next step

Q: V. The tangent line at the point (t, y) = (- to 4'2 1 Then, the curve y = cos t is y = bt - - - a a…

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Q: Find the arc length of y=((x+4)/2)4+1/2(x+4)2 over [1,4]

A: Given data:     The given expression is: y=((x+4)/2)4+1/2(x+4)2. The given limits is: [a, b]=[1, 4].…

Q: Find the arclength of y = 4x² - 2 on 0 ≤ ≤ 2

A:

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.