d'y dy tion dx? + sin x = 0 is + y- dx

Q: Find dy/dx by implicit differentiation. (cos TX + sin Ty) = 18

A:

Q: dy Find by implicit differentiation dx 2 + 5x sin (ry) dy dx II

A: We can find the derivative as below

Q: Integrate: So a sin(x²) dx

A: We have to integrate

Q: Find dy/dx of y = cos^-1(2x) * sin^-1(2x)

A:

Q: S sin (2x – 1)cos (2x-1)dx (2х - 1)dx

A:

Q: If Sin-'x= Iny, show %3D ( l-xx) day - dx d X 2 x dy =y

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Q: Let y tan 1)2x then dy/dx at x-1 is

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Q: If y=(sin3x-cos3x)², find dy dx

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Q: Solve dx dy for y= sec (In x) In (tan x)

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Q: Find dy/dx if y=(4/cosx)+(1/tanx)

A:

Q: find dy/dx if y = sin-1(1/x)

A: Here given as

Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: If we have to check the DE sin(x). dy +y cos(x) = 1 dx for Exact then My = - sin(x) -sin(x) -cos(x)…

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Q: dy = sin(x+4) dx

A:

Q: find dy/dx (sin2x)x

A: Explanation of the answer is as follows

Q: Find dy/dx by implicit differentiation. (sin Tx + cos TtY) = 60

A:

Q: Find dy/dx of y=sin-!x+cos -!x dy/dx is Blank 1.

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Q: dy dx a) { In |0* + 1|} „b) arctan (ve2 -1) , c) sec-(0²) – 1

A:

Q: Find dy/dx if y= cos-1 In(x+1)

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Q: Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

Q: find dy/dx if y = (sin-1 x)2

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Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

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Q: Find dy/dx of y = sin(x)tan(x)

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Q: Determine dy/dx given that: y = sinx - sin³ x O cos³x O cos x sin² x O sin³ x O - cos³ x -

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Q: find dy / dx by implicit differentiation.

A: Implicit differentiation is performed when the dependent variable cannot be explicitly written as a…

Q: eteR MiNe SiN IN°()COS)dx

A:

Q: find dy/dx if(cosx)y=(siny)x

A: Given: -

Q: Find when y = cos(sin 2x). ay dx dy dx

A:

Q: ■ Find dy /dx  by implicit differentiation 4 cos x sin y =1

A: To find dy/dx

Q: Find dy/dx by implicit differentiation. (cos πx + sin πy)5 = 70 dy/dx =

A:

Q: we have to check the DE sin(x) +y cos(x) = 1 for Exact then My= dx None of These - sin(x) sin(x)…

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Q: 8. [(cos'y- sin'y)dy

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Q: If y = (sin-' x)², show that (1 – 2*) dy dr? dy 2. dx

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Q: lel sin(mx) sin(nx)dx=0 (a)

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

Q: dy Find by implicit differentiation dx 4 + 5x = sin(xy*) dy dx II

A:

Q: dy Find by implicit differentiation. dx 14 In x= 18 - In y dy dx (Type an exact answer.)

A: Consider the given expression 14ln x=18-ln y.

Q: Find dy/dx by implicit differentiation. (cos TX + sin ny)³ = 26 dy/dx =

A: Differentiate above equation with respect to x

Q: dy of y = sin(3x² + 5x – 4) * In(e*) is dx

A:

Q: Find dy/dx by implicit differentiation. sin x + 2 cos 2y = 1

A: the given implicit function is: sinx+2cos2y=1 we have to find dydx by implicit differentiation

Q: dy dx by implicit differentiation. 9. Find sinx +Scos 3y = 4

A:

Q: Find dy/dx by implicit differentiation. 5+ 5.x = sin (ry²) dy/dx = %3D

A: Given that,   5+5x=sinxy2

Q: find dy / dx for Hhe follo wing 2X y=3+ ln (sin x?)+In (sin 5x)

A:

Q: 2- Sin(x) dy dx ty Cosx Ex Sinh

A: As per our guidelines we are supposed to answer only one question and rest can be reposted Given:…

Q: Find dy/dx by implicit differentiation. (cos TX + sin ny)° = 24 dy/dx =||

A: Our objective is to find out the derivative of the implicit function.

Q: S cos(2x + 1) sin(3 – 4x)dx

A:

Q: 4) [ sinh 2xdx 5) [ e* sin e"dx 6) fcosh'vdv

A: Given:  4) ∫0π2 sinh(2x)dx5) ∫ln(π)2exsinexdx6) ∫cosh2vdv

Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: Given: cosx+tanxy+4=3We need to find dydx.Recall the formulas: ddxcosx=-sinx…

Q: Find (dy/dx) for: tan-¹(x + y) + In(x³y) = sinh(y)

A: To find dydx for: tan-1x+y+lnx3y=πsinhy

Q: Se Sin (3x) dx by Improper htegrations.

A: use improper integral

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.