2. y 1/x, y= 0, x = 1, x = 4; about t 3. y Vx1, y= 0, x= 5; about the у - 4. y e, y 0, x= -1, x = 1; about 5. x 2y, x= 0, y 9; about the y-a 6. 2x y2, x= 0, y = 4; about the y-ax 0, у- 7. y x', y= x, x > 0; about the x-axis 8. y 6 x2, y = 2; about the x-axis 9. y2 x, x 2y; about the y-axis 2- y2, x = y'; about the y-axis 10. x 11. y x2, x y about y = y2, 1 12. y x, y 1, x = 2; about y -3 13. y 1sec x, y 3; about y 1 14. y sin x, y = cos x, 0 < x< T/4; a Homsork 5 2 NO - ( -5ऱ)४५ . )-(1-23x सुग|) 1-2x -+25x- -(6 2)ू x-2t d 2 x7 X h-2 3P +

Q: 10. Differentiate y = xV A. y = xV (n) 2+In 2 va B. y' = xv (* + C. y' = x* (+ D. y-x" (프+ Im) E.…

A: We need to find differentiation.

Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

A:

Q: Find the domain and range of:

A: (a) We know that the domain of the square root function is always greater than equal to 0. Thus,…

Q: Calculate ∬Sf(x,y,z)dS For x^2+y^2=9,0≤z≤3;f(x,y,z)=e^(−z) ∬Sf(x,y,z)dS= ?

A: Find the parametric equation for the given curves.

Q: 16 1. (a) zydy dz = pla+7)/2 (b) zydz dy (3y² + 3y)dy = 38 I-(y-5)/2

A: a) Given ∫02∫0x2xydydx The given integral write as…

Q: (d) u =-,v = xy, = a' ху, 21

A: Consider the given information. (d) Consider the given values. u=12-12x2v=xy The equation of the…

Q: If y(x) satisfies y′′(x)=y′(x)(1−y′(x)),y′(0)=1/3,y(0)=1, then y(x)=?

A:

Q: It is thought that basketball teams that make too many fouls in a game tend to lose the game even if…

A:

Q: OF(2,9)= OF(2,9)= %3D OF (2,y) = X,Y %3D OF(2,y) =

A: Since     F→(x,y)=&lt;-y, x2&gt; The vector field of the function is

Q: f(x, y, z) = eVx2 + y2, E = {(x, y, z) | 1 < x² + y2 < 4, ys 0, x < y/3, 3 s z 5 4} E = {(x, y, z) |…

A: given fx,y,z=ex2+y2 and a region of integration E=x,y,z|1≤x2+y2≤4 , y≤0, x≤y3 , 3≤z≤4 claim-…

Q: find the volume of the solid

A:

Q: for w = ze(zy²+2:). Do not include =" in your answer.

A:

Q: 4,5 f (x,V)= Sx"y%,compute fx and fy

A:

Q: 1- S, (xy – y³)dA (1,y]x[0,1]

A: Please ask only one question at a time.

Q: If (x, y) > (x+3, y-7) maps TUVW to T'U'V'W', what is the algebraic description that will map…

A: x, y→x+3, y-7 maps TUVW to T'U'V'W'. That is, the x-coordinates of T, U, V and W are added by 3…

Q: 9x + 2y + 4z = 20, x + 10y + 4z 6, 2x-4y + 10z =-15 54x +y+z = 110, 2x + 15y + 6z = 72, -x + 6y +…

A:

Q: If x,+iy,=x,+iy2 then x=y, %3D

A: TRUE for part (1) It is given that x1+iy1=x2+iy2. x1+iy1 and x2+iy2 are complex numbers Two complex…

Q: Graph the functions in Exercises 39 to 56

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: z = 7+x+4y+x² , –2 < x < 1,–1< y < 1. | 1. A = 3V5 - ( 35 + 6/26 - In 4 %3D 17 17 35 + 6/26 2. A =…

A:

Q: Evaluate S, y dv with E = {(x, y,z): 0 <x< 3, 0< y < x, (x – y) < z < (x + y)} %3D

A: Use triple integration

Q: 1. The lines 4: x=1-t, y=2+t, z=-2-t; 12:x=3+s, y=-1+s, z = 2s are skew.

A:

Q: Evaluate: du S²₁₂ So (x²-y²)²] dt x+y

A:

Q: g(x) = 4x3 12x + 6 with domain [-2, 2] g has --Select- at (x, y) = g has --Select--- at (x, y) = g…

A: g(x) = 4x3 -12x +6

Q: OLine 2 メ+スy AN て て)ト LINE 4 2+2 そ C. 1 ANT in UI +( ) - () 1 ANN s + zp ネナス b AN そて十てる 2+2 てん て)を 8…

A:

Q: If x2 + y2 = 2st − 10 and 2xy = s2 − t2, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t at(x, y, s, t) = (4, 2, 5,…

A: If x2+ y2 = 2st − 10 and 2xy = s2 − t2,To  find∂x∂s,∂x∂t,∂y∂s,∂y∂t at (x, y, s, t) = (4, 2, 5, 3).

Q: For S(y + 2) /2 –- 3y dy,y = O y = u^(1/3) O y = u^3 O y = u None of the choices

A:

Q: 23 { , si (x, y) # (0,0) b) g(x, y) = 2x2 + y² , si (x, y) = (0, 0)

A:

Q: O Civen w (2-31, XL-4,9),Y(S,y) and z(-1,1) find the Value so that ux LYZ

A:

Q: 1. v20x*y 6. V121x*y* = 2. V147a'b5 7. V625u1ºv16 15 11 3. 320p°q" 8. V224pq" 9. V27w²z° 13 4. V7…

A: Authoring guidelines:…

Q: af(x, y) If f(x, y, z) = , then is equal to dz (y – 2)² (y – 2)? O 1 2z – x – y (y – z)?

A: Given problem:-

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where is player i's…

A: The utility to player 1 is given as: u=xx+n1yAnw-x-n-1y;w&gt;0,A&gt;1 Also, Ak=Aw-x*

Q: If A= and D = A+B and d2--1.d, 2 then 1. x=-1.y = -1 2. x=-1.y = 1 3. x=-2 y =1 4. x-2. y --1

A: We have to find the required values of x and y .

Q: [SADT15] If A (x, y, z) = 2yzî – x²y} + xzrkd o (x, y, z) = 2æ²yzwhat is (A · V) %3D 8xy?z4 – 2x*yz³…

A: Ax, y, z = 2yz i^ - x2 y j^ +xz2 k^,andϕx, y, z =2x2 y z3

Q: 1) If Var(X-Y) = 2, Var(X+ Y) = 4, E(X) = 3 and E(Y) E(XY)? = 1, than what is

A: According to bartleby experts guidelines we can answer only question. Rest can be repost.

Q: (4) Evaluate : S[(xy? + yz') dV if Q = {(x, y,z): x:[-1, 1], y:[3, 4], z:[0, 21}

A: Note: As per our company guidelines we are supposed to answer only one question at a time. Kindly…

Q: What value of c will satisfy y(x) = c(1 – x²) given y(0) = 1? 2 O Option 1 Option 2 3 Ontion 3…

A: Let's find.

Q: :Max z=6x + 8y subject to x +y 0, y=0.

A:

Q: In Exercises 53-58, compute the derivatives indicated.

A: Here given as fx, y=3x2y-6xy4 Now ∂f∂x=∂∂x3x2y-6xy4=6xy-6y4∂2f∂x2=∂∂x6xy-6y4⇒∂2f∂x2=6y

Q: 3. If V = (3r'y-1,x2'+y',-2r:"). Find grad divl at the points (2,-1,0).

A: We have to find grad(divV ) at (2,-1,0) where  V = (3x2y-z,xz3+y4,-2x3z2)

Q: Evaluate: S 10-11 O 2y+3 (y-1)(³-1) – In y − 1 − -dy − m¸|- -- ( y − 1)³ + - (y − 1)³ + In|y² + y +…

A: Follow the steps.

Q: V81z2 V24z2 V63z*y 6z/9r 12z/2 : 12 : 9z : 3x : 2z/6 : 4z6 : 9z2 : 4z Vy? : 8zyy : 4z?y # 3zy7z :…

A: we use  √(ab) = √a √b (am)n = amn

Q: 2. If y=x³e²x find y(n) and hence y(3). (v)

A: I am attaching image so that you understand each and every step.

Q: Q4:Min z' = 29 yı+ 45 y2 subject to 2y1+ 8y2 > 60, 4y1+ 4y2 2 60, yı 2 0, y2 2 0.

A:

Q: (a) sketch the graph of each pair offunctions using a standard window, and (b) describe…

A: Note: We are entitled to solve only one question at a time Given: y=x3; y=x3+5 To Find: a. Sketch…

Q: Suppose that z = f(x,y), find for 4 x²z* – 5yz³ + xy? - 3z? = x

A: Given: 4x2z4−5yz3+xy2−3z2=xz=f(x,y)∂z∂x=?

Q: SORU: y = x² – 6x + 13, y = lnx, x = 1 ve x = 5 ile sınırlı bölgenin; a) alanını bulunuz. (20)

A: As shown in the figure draw a stripe parallel to y-axis. So, A=∫15∫ln xx2-6x+13dydx   =∫15[y]ln…

Q: 2* If ODE of 2nd order and y. 2 x + 3 e-2x, the suggested y, is: C e2x + c2 e3x Yp = Yp = a, x + a2…

A:

Q: f (x, y, 2) = x³ /+42³y² – xyz +x² – Vz5 VI+ 42°y? – ryz+ x² – Vz5 - -

A:

Q: If y(x) satisfies y′′(x)=y′(x)(1−y′(x)),y′(0)=13,y(0)=1, then y(x)=?

A:

Q: 16. Find the points of intersection of x' = 4y and y= 4x. (as:(0,0,(16,64)

A: My Dear student according to the rules of Bartleby we can solve only one question post others as 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.