1) ydx + xdy = 0 3) (2x+e' )dx+xe' dy = 0 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy %3D

Q: y' + y tan x = sin 2x cos³ x y3 given x=0, y=1

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Q: y' + y tan x sin x cos With y(4) = 0

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Q: Find y' if y = (cos(x))ln(x)

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Q: CORRECT to find y'(x). d d v'(x) = (In 2z) x (sin u) y'(x) de dx ..... .... .... d y'(x) = sin- dr d…

A: We have to choose the correct answer from the given options according to the given information

Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: Let f(x) = sinh(2x) then f'(In2) = %3D %3D

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Q: e-y = y ¹ cos(2x) y(1) = yo

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Q: find y'. (show all the steps please) cos(xy) = x-y^2

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Q: (iii) y= x'e**, y = sin x+eec* (iv) sec x

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Q: Tell whether each of the following questions is biased or fair. Why? a. What type of music do you…

A: Part(a) The correct option is option A. Because in option A has the  question does not make an…

Q: 1- x Vx2 + 9 dx. 1 2-5 dx 1+ sinx 3- sin'x cos'x dx

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Q: y =5 tan-(Vx) 2

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Q: y" + y" = e* cos x

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Q: Find dy/dx ln(x+y)-cos2y-x^2=0

A: Revise this before doing the question:

Q: 7. Find y'if y=x³+ sin (x)

A: given

Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1…

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx

Q: Find dy y= cof ( + tan)

A: Given : y = cot-12x+tan-1x2

Q: y''+y=e^x sin(x) y(0)=1    y'(0)=0

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Q: Find y' if y=Cos (sinx)

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: e^(x)cos(y)=1+sin(xy) dy/dx?

A: To differentiate :

Q: 1 [In(3x)] S (* -5x+2)e*dx

A: solution is given below

Q: dx/dy + sin'3 y/ cos'2 2x = 0

A: We are given : dxdy+sin3ycos22x=0⇒dxdy=-sin3ycos22x⇒cos22x dx=-sin3y dy Integrating both sides, we…

Q: Find the derivative of the following functions: = Arccos 4x -4 ans. y' = V1-16x2 4. y = Arcsec(sec…

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Q: Find y' and y". y = cos(x?) y' - -sin (x²) ( 2x) y" =

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Q: +3x2, (V)² = sin³(cos³(*3**» dy b. Find dx %3D

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Q: y'=sin (x) +8x3, y(0) = 2

A: y'= sin(x) +8x3 y(0) =2  Need  to solve initial value problem

Q: 1+y* 3+ sec(y)

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Q: at (x = })? dy Csc(3x) Sin(3x) + Cos(x), Find Let y =

A: The given function is: y=csc(3x)sin(3x)+cos(x)  =csc2(3x)+cos(x) To find the derivative of it:…

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.