1. y= cos z fonkstyonu, y = 3 doğrusu, z = /2 doğrusu ve oy-ekseni ile sınırlı bölgenin oz-ekseni etrafında döndürülmesi ile oluşan dönel cismin hacmi kaçtır? a) 17r2 b) 71 31m d) 49 191180020 Boş bırak

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A: Given problem:- ex sin(y) +ey cos(x) =10  find:- y'

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A: See the details solution in below

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A: Given that: f'(x)=100cos2x10+x2-1

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A: dy/dx and d2y/dx2  are find in next step dy/dx = (dy/dt) /(dx/dt)

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Q: val (0

A: Introduction: The formula of the line integral ∫CF.dr, where C is the curve r(t) is given by,…

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Q: The length x, width y and height z of a rectangular box are changing with time as x = 2+ sin 2t, y =…

A: length, x = 2 + sin2t width, y = 3 + cost height, z = 4 - sin3t   dVdt=? when t =π

Q: (e). Gliven, 4x4ay²=36. first we find the area of region A = $dA ²5*² => A= >> A = [₁ [y] => A=…

A: The given curve isFirst, we find the area of the region

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Q: classify of the following differentiol equation e^x dy/dx + 3y =x^2y a- both sperable and linear b-…

A: Given: exdydx+3y=x2y To Find: To classify the given differential equation.

Q: Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

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

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.