1. SS, y?dA, D = {(x, y)|0 < y < 1,-y – 2 < x < y}

Q: (a) Si = {(x,y) | y divides x} (b) S2 = {(x, y) | x + y is odd} (c) S3 = {(x, y) | xy is odd}

A: List the properties of relations. Reflexive: a relation R on a set A is reflexive if a,a∈R for all…

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: f z x dA, D= {(x, y) |0 < x < m, 0 < y< sen x} 9. D 10. | x dA, D= {(x, y) |1 < x < e, 0 < y< In x}…

A:

Q: Proldom nog y(x) Find y as frofx ly "" + 64y' = 0; y(0); y'(0) = 24; y²¹ (0) = 0 ia (32) ma 08-…

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: 2. given that y = 0 at r=1

A:

Q: 2x-y if F(x, y) = xy é e af ар ay ах find

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: SL (e,9) f(x, y) = dx dy f(x, y) dy da 0. 0. 0. O True O False

A:

Q: As x approaches positive infinity, which of the following describes the end behavior of y = -a + br…

A: Given, y=-x5+bx+c

Q: hether S={(x,y.=) eR' := =0}

A:

Q: 15. f(x, y) = xy /x² + y V9 – x² – y? 16. f(x, y) ▪ x + 2y + y? x² – y? 17. f(x, y) *

A: 1.  fx,y=xyx2+y2.  fx,y=9-x2-y2x+2y3.  fx,y=x2+y2x2-y2

Q: 16 -Σ(Σ») f(x, y, z) = Σ · (x + y + zn?) 2

A: Given: fx,y,z = ∑n=116∑k=1nk-x+yn+zn22

Q: 15. In AXYZ, XY YZ and m/XYZ = 46*. %3D 46

A:

Q: (1, O<y<2x<2 Given f(x, y) = 0, otherwise 1 show that E(Y]x) = x and E(X\y) = %3D 4 2

A: The joint distribution is given by, f(x,y) = 1,0&lt;y&lt;2x&lt;20otherwise Note that,…

Q: x?y" – 4xy' + 6y = 0, y(-2) = 8, y'(-2) = 0

A:

Q: The tanh (2x) sech (2x) dx is equal to sech (2x) sech (2x) +C OA 3 10 OB. sech (2x) sech (2x) +C. 3…

A: Solution

Q: 6) Given that h(x,y) = e**y® _ ¥² Find hxx, hxy, hyy, hyx

A:

Q: 3) Debermine the explicib solution to tha Initral valve Prablem ylo1= 2 %3D

A:

Q: 1on to ove tha (X +Y)(X + Y) =X

A: In this question, the concept of Boolean Algebra is applied. Boolean Algebra A boolean expression is…

Q: 4-The area bounded by the curve y = 2x- r and the x- axis is 5- if y = x - 2r +4 and x = t +2 then…

A:

Q: (c) Ã = xẽ, + yếy, C : {n² + y² = 1, z = 0} %3| ex (d) Ā = En + Ey 2 + 12 C : {y = x, z = 0, x € (0,…

A:

Q: If y = In(x – y) then y' at the polnt where y = 0 Is equal to Select one: b. 2 C. -2 d.=

A:

Q: Thanks for the help.

A: According to the given information, Let R be a rectangle with corners at (a,a), (-a,a), (a,-a), and…

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: In Exercises 5–12, find and sketch the domain for each function

A:

Q: If i = xi+yi+zk then grad (r") is equal to

A:

Q: 1 Let D = (x, y) : 9 < x² + y² < 25, –y < x < V3 /| 4æydA Evaluate

A: Consider the region D as shown in the figure below: Here, the objective is to find the double…

Q: 27. || x sec?y dA, R={(x, y) | 0 < x< 2,0 < y< /4} R 28. || (y + xy-2) dA, R={(x, y) | 0< x < 2, 1 <…

A:

Q: 1. Given f(x, y) = 4x³y², evaluate f;(1, y) and fy(x, 2).

A: We know that partial derivative of f with respect to x is denoted by fx  and partial derivative of f…

Q: 10) min[1, d(x, y)] is . A) S-I B) >d(x, y) C) >1 D) sd(x,y)

A: To find the minimum value of 1 and d(x, y).  d(x, y) is the distance between two points on the xy-…

Q: (x + 2y), 0sx<1,0<y<1 fx: 0, elsewhere PG<x<를 &y<b a.

A: Given,f(x)=23(x+2y); 0≤x≤1 , 0≤y≤10; elsewhere

Q: I. Find the absolute max and min for f(x,y) = xy² on D ={(x,y): x >0,y > 0, x² + y? < 3}. Justify…

A: Given- f(x,y)=xy2  to find - Absolute maxima and minima for the given function if onD={(x,y):…

Q: 2. 2sin(хy) at x D 2, у3D Зя/4 3. z= In(x + 1) + y° at the point (0,3,9)

A:

Q: 2 2xy) dy, v es (0, 0), (2, 0), (

A:

Q: and u = then the distance from y to Span{u} = line through the origin and y is 2/10. Let y = True…

A:

Q: 11. f (x, y) = ery subject to a? + y? = 16 %3D

A: The objective is to find the lagrangian multipliers for fx,y=e2xy subject to gx,y=x2+y2-16. To solve…

Q: 11.) If mVQ = (y + 7)', mQR = (x + 11)', mRS = (3y)', and mST = 65', find the values of x and y. %D…

A: Given- If mPQ⏞=y+7°, mQR⏞=x+11°, mRS⏞=3y°, mST⏞=65° To Find- The value of x and y.

Q: 9. Find y if (a) y = 2" In (cot² (v7))

A: We are authorized to solve only one independent question, please repost remaining questions…

Q: (2? + y? + 1) dæ – (æy+ y)dy= 0 - %3D x +1 (x + 1)? Option 1 Option 2 (x + 1)-3 (x + 1)-1 O Option 3…

A:

Q: R = {(x,y) E R ×x R : x > y} T = {(x, y) E R × R : x > y}. RoT.

A:

Q: || dxdy R R = {(x,y)|(1<x<2),(0<y<1)}; R = limits а. 1 b. 2 С. d. None of the above

A: From the given integral: I=∫R∫dxdy And the given region is: R=x,y|1≤x≤2,0≤y≤1   So, we can write as:…

Q: In csch 4y d 3) tanh 4y

A:

Q: 3. Find general Golution y" + y= Secx

A: Given that, find the general solution y''+y=sec3x (D2 +1)y=sec3x

Q: 5. Use Green's Theorem to evaluate (y – 42) dx – (2+x²y²) dy where C is shown below. y (5,10) 10

A:

Q: f(L,K) + x [loo-PeL-Pak] max dQ

A: