24. y = x and y = Vx; about the x-axis %3D %3D УА y = V %3D

Q: 2. Assuming that y is defined implicitly by the equation: x?exy +y/x + y = 5 dy Determine dx

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Q: C) V reflected over the x-axis. ty 1 V D) P reflected over y = x. -2 U•

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Given #= (1+--). dy 2 dx What is the value of k such that y is parallel to the curve y = 3x +1 at x…

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Q: G YA PAZ E X F 7. PZ = 5 and GY 12. Find GP. (purple) %3D

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Q: Culkculate. st (2t-3) dt b4. htaylet ly by parts

A: To solve by using integration by parts.

Q: 3. (e* cot y + 2y csc y)y' = –e™

A: We Know that Integrating factor is defined as the function which is selected in order to solve the…

Q: 1. R:y = Vx,y = 4, y – axis axis of revolution: y = 4

A: Volume about y=4, by Disk method

Q: d'y dy dy +4 +5+2t = 10cost, %3D dt

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Q: [2y - (y2 - 15) ]dy -3 В. 5 2ydy + J [y2 - 15]dy -3 с. 5 J [G? - 15) - 2y]dy -3 D. 10 J (2y- (y2 -…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: The volume of a right circular cone of radius x and height y is given by V = volume of the cone is…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: 2) y? = -4x h = __k = _ p =- %3D V: focal width: F: Directrix: 10- 6- 4- 2- -10-8 -6 -4 -2. 2. 8 10…

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Q: 1 The volume of a right circular cone of radius a and height y is given by V = ²y. 3 when x = 6 and…

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Q: I Determine the order and degree of the differentiah equation dx y-

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: (1+e*y+xe*y)dx + (xe* + 2)dy = 0 %3D is not Exact equation ylgn ihi

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Q: Q3) find the soluation of differention equation 1) 2y' = y cot(x)

A: To find the solution of the differential equation 2y'=y cot(x) Formulae used : ∫dxx=ln |x|∫cot(x)=ln…

Q: If a = 10 cm and b = 16 cm to the nearest millimeter, what should you expect the maximum percentage…

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Q: Solve the differenrtial cotn- y(y+2y-2)dx - 2(x ty) dy= 0

A: Topic:- differential equations

Q: Distance from residential area of Zone (thousa A (miles) Comme Shopping Center Floor Sp r Trinoma 21…

A: The circuit mall makes 95.28 rounds when compared to the best competition.

Q: otain the solution using Integrating Factors y(y+2x-2)dx - 2(x +y)dy = 0 %3D

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Q: Shows : 1 Vi- e2x dx = aresin(e") + ;e'v *V1- e²* + C (9) e*

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Q: So (xs +x) dx 24.47 %3D The bet ween y = sin x and the x - axis for area

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Q: dx x-y dy dx (Separation of variable) %3D dy

A: To find :- General solution of given differential equation Given :-

Q: Question 12 dy If dx and y = when x = 1, find y(2). %3D V3x-2 2 (A) 27 40 B) 27 27 26 27

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Q: lip = (x+y+1)? – (r + y – 1)? subject to y(0) = dr %3D dy_I- y - 1 dr I+y+3

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Q: glo) = 0,5 sdution of y(1) dr 410) di fferontial equation, take h=0,25 and with Euler's Method…

A: Given differential equation is y'=y-x2+1, y(0)=0. To find the value of the solution of the…

Q: dy +p(x)y = Q(x)y" dx Bernoulli equation .B Exact Equation .C

A: Given that  dy/dx+p(x)y=Q(x)y^n To find the type of equation

Q: 1-CAL182 y =Vx+4 29- y=x-2 SVx+4dx + [(Jx +4- (x – 2))dx → a = ?,6 = 2,c = ?,d = ? area = A) a- 4,…

A: Break the function into interval and find value of limit for each interval.

Q: vi) J(y) = [(y," -y)dx ext, y,(0) = 2, y,(1) = 0, y (0) = 0, y,() 1, y, (0) 1, y,(1)=0

A: Solution 6: Given functional is J(y)=∫01y1'2-y2''2dx, y10=2, y11=0, y20=0,  y21=1,  y2'0=1,  y2'1=0…

Q: $ x4* dx + 2x*y dy where C is the triangle wl vertices (0,0), (3=), and (2, 4) i ?

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Q: consider y y"-(y') 0 where d = y If u = y', then the D.E. is reduced to (A) %3D (B) (C) du du du (D)…

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Q: 2.lexPress the faiauing curve inthe form of Yara meter eQuation al Y=1-×モン-2 b.) y? zzg,x>4

A: Solution given below

Q: d. Bernoulli's equation y' +y = e*y+ 1. 2. xdy + ydx = xy?dx

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Q: Find focal djameter y^=-32x Find focl dia meter X= 2y=

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Q: (2)S, dx where c = constant let c-x = e-x Inc %3D

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Q: Using Integrating Factors Found by Inspection. 3 ху 3 ху. 11. y(x°e" – y)dx + x(y + x°e)dy = 0

A: The details explanation is given below

Q: l, arctan( y/x) dA, where R = {(x, y) |1<x° + y° < 4, 0 < y< x} %3D

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Q: 1 Integrate by parts: |xcos x dx 3

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Q: d) find ſ xlnx dx ( Hint Using integration by parts )

A: Given query is eveluate the integral using integration by parts.

Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: x+y, (e* + In y)dx + (**Y,dy = 0 y

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Q: H x,y E IR Ix+y I \x\ Ix + yl</xl. + ly!

A: Given               ∀ x,y ∈ℝ , x+y≤x+y

Q: 4. sE dx = Inlxl- e* +C %3D (品)+c S(D-) dx =- Ialal + c 5. S2+*dx = 4 Ina Inixl 6. 2 In3

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Q: Given a = 2 cost + 14 and y= 5 sin?t %3D da (*) dt dy (2) dt dy (6) da

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: urface of the spher lue of dydz + (y + z)d

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Q: y(r'ew – y)dx+x(y +x²e")dy = 0

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Q: (a) S Gz* + VE dz (b) Je + cos z dz (c) S dz

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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.