What is the amount of the rotating body formed by rotating the region bounded by the y = cos x function, the line y = 3, the line x = pi / 2 and the oy-axis around the ox-axis?

Q: Find f'co) if fco)= (Since\ %3D

A:

Q: Let y = cot (csc2x/x3+5). Find

A:

Q: A certain liquid of sp.gr. = 0.80flows through a 150-mm-diameter pipe under a pressure of 103.5 kPa.…

A:

Q: Q/ Let w=F(Xi)) and X= V cose, y=Y Sine Show that (w 2 %3D Y

A:

Q: Find y' of cot (xy2) + xy = x².

A: Given query is to find derivative of the expression.

Q: Find fy, fy, fyx, fyy,ty,fyx flx.y)=5e'nnyr9

A:

Q: Evaluate x2 dx Select one: on O(sin (2r- 1) + 2(2 (2ain (r) + sin(2si To (stn(2 1I) 2(2r sin(2sin

A:

Q: (x² + y?)3/2' + (x² + y?)3/2J OVer the curve F(t) = (e' cos(t))i+ (e' sin(t))j from the point (1,0)…

A:

Q: The total differential of the function: z=x*e3y . .A dz = 3x "e3Y dx +4x³e3Ydy. .B dz= 3x"dx +e3ydy.…

A:

Q: sinh (u + v)= sinh u. cosh v+ cosh u. sinh v и.

A: Consider the Identities for hyperbolic functions and expand the given expression.…

Q: The þaramehc equalion of the unde x+ =9 is ☺ x = 9 cost, y=9 sint X = 3 cost, y= 3sint X = 3 cost,…

A: A circle is a two dimensional  shape an it is  a closed curve . A set of all the point are at the…

Q: find dy/dx у= sint cos2 хосод cesc

A:

Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .

Q: ith uniform density (mass/unit length) 6(z) =5+ sin(z) lies on the z-axis between z = 0 a

A: Introduction: The formula of the total mass of a rod with density function δ(x) with a≤x≤b is given…

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.