2) Given that and y = find dy dx d'y d'y d'y and dx? dx' dx4

Q: x COSI dz dx dy

A: Simplify the integral

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: In(xy)dy dx 35.

A:

Q: -х ху dy dx is approximately equal to 0 ex The value of

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: (x– x'ye" )dy – dx = 0

A:

Q: dy/dx if y = cosh 2 Jx +1 2 JX +1

A:

Q: what is dy/dx?

A:

Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

A:

Q: In(5x +3) dy at x = 0. dx (a) If y = then find et

A: Given; y = ln(5x+3)/e5x

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: Find dy/dx if y= ln(6x2 + 5y2). dy/dx=?

A: dy/dx = 12x / (6x2 +5y2- 10y)

Q: Find dy/dx at the given point without first solving for y. x2 + 4xy + 23 = 0 at (1, −6)

A:

Q: Differentiate implicitly to find dy/dx. ²+ y² - y² = 29 dy dx 11

A: This question is based on implicit differentiation.

Q: sin(x+y)=xy  what is dy/dx?

A:

Q: 3. If y = (5x)sin(3x), then dy dx ||

A: Given the function y = f(x)

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

A:

Q: Use the Euler method with dx = 0.2 to estimate y(1) if y' = y and y(0) = 1. What is the exact value…

A:

Q: Use Bernoulli's Equation dy/dx+ycotx=1

A:

Q: Find dy dx if x=- and y and %3D dx 1+t 1+t

A: Given: x=t1+t and y=t21+t.

Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: 1 (* ex+y dy dx

A: We need to evaluate the following integral ∫01∫0xex+ydy dx

Q: Calculate dy/dx if x and y are related as below xe" – y=x 2

A: To determine:

Q: Find dy/dx implicitly exy+x2−y2=19

A:

Q: 1. Differentiate the following: а. у %— y = x²e2x, find dy/dx

A: Differentiate the following

Q: IF x = asec'0 and y = atan '0 dy Find at 0 dx 3

A:

Q: Inx Iny Inz dx dy dz

A:

Q: 1. If y = sin x² x =²), ex find dy dx

A: Given y=sinx2-xex To find dydx

Q: 5) Inx Iny mz dx dy dz

A: Given: Let I=∫1e∫1e∫1eln x ln y ln z dxdydz To Find: To evaluate the given integration

Q: If x ^2+ y^2=100 and dy/dt= 4 , find dx/dt when y =6

A: Solving the problem by method of differentiation.

Q: ..... .. .... . Find dy/dx. x = VE y = 1-t dy dx

A:

Q: Differentiate. In x y = dy dx

A: The quotient rule of differentiation is, ddxfxgx=gxddxfx-fxddxgxgx2. we have the differentiation…

Q: If x = t- sin t and y = 1- cost dy find the dx

A: Given, x=t-sinty=1-cost       Find: dydx

Q: what is dy / dx if y^2 = x

A:

Q: 1) Find dy/dx if : y In (tan¬ x)

A: Given : y = lntan-1x

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

A:

Q: I. Find dy/dx in the following: 6. Y=sec² Inx

A: We are given: y=sec-1 lnx The derivative can be found as follows:

Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find…

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: 3- Coshx dy +ly sinh x +e) dx

A: We have to find the solution of differential equation

Q: If y = 2x³ +5 and dx = 3 then find dt dy when X = -2 dt

A: Given  y=2x3+5dxdt=3 To find dydt, when x=-2

Q: ex dy dx dz = e** dz dy dx 0.

A:

Q: Find dy/dx by differentiating xe²y + 7 = 4y² – 5ª implicitly.

A: Given: xe2y+7=4y2-5xDifferentiate both side with respect to x

Q: dy if y = cos(ln x). dx Find dy dx

A: Given :   y = cos ( ln x)  now we find dy/dx

Q: I sin 2 dy dx (x² – y) dy dx 5. 6. x? – y² dy dx 8. L ellyt dx dy 7.

A:

Q: ¥3 at x = 0, and = 0 with the dy dx

A:

Q: dy/dx at the same point (1,0) is

A: Given: The equation is y = ln ( x2 + y2 ) and the point (1 , 0).

Q: Determine the solution to this DE: * dy t By 2 dx

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.