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Q: b. sen(r y) d(r, u)

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Q: Then P(X+Y<3) is

A: here given  joint probability distribution of x and y  f(x,y )= 18(6 - x - y)  ,  0&lt; x&lt;2  ,…

Q: If f(x) = x?, then which statement is true? Ay O f'(x) = - Az dg(z) O f'(x) = dz O f'(x) = dy O…

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Q: If it was G,y) -x+y* Van fy =xy^+ In Ge) @ trae false

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

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Q: y= Ax + Be

A: Given equations y = Ax + Bex To eliminate the arbitrary constants.

Q: Let X b(n,-) and E(x) = E(2– 6x) find n.

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Q: What is the x-Coordinate of the termir O a. -V3/2 O b. V3/2 O c. -V2/2

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Q: If A = and if xy = 1, then det ( AAT) is equal to y a

A: We have, A=axya As we know that, transpose of a matrix is obtained by changing rows to columns and…

Q: Э. If u = x+y, v= x – y and x and y are independent, show that In other words var (x± y) = var (x) +…

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Q: Starting with C = A + B, show that C × C = 0 leads to A × B = −B × A.

A: Given: C=A+Bif C×C=0, then A×B=-B×A

Q: Given Va + v/ = 2, Which of the following is equal to da? O 1 3 1 3 1 3 1 3 y 2

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Q: If z = In /x? + y? , find x- X +y В. 1 С. D. Vx? + y? A.

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Q: If y(x) = e^u, then y' is * e“ to Option3 Option1 du u Option 2 Option4 |3

A: applying chain rule if function has some other variable then its derivative has to be done here…

Q: If u = cot ди then x x- y

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Q: 4. If E(R) exists, show that |E(R)| < E(|R]).

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Q: ), then the value of r is

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Q: If var(X + Y) = 3, var(X – Y) = 1 , E(X) = 1 and E(Y) = 2, then E (XY) is

A: From var(X+Y)=3 we get:var(X)+2Cov(X, y)+var(Y)=3 ........(1) From var(X-Y)=1we get:var(X)-2Cov(X,…

Q: If A = and if xy = 1, then det ( AAT) is equal to y

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Q: Which of the following is NOT TRUE if * ye* + xe + x + y = 0.

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Q: Consider the relationship R C N x N, R(x, y) holds iff (/æ /T) E N. True or False R is irreflexive…

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Q: Let x be a c.r.v., the E(x4) can be founded by xf(x) dx. O True False

A: Given problem Given that   Let x be a c.r.v., the E( x4 ) can be bounded by ∫-∞∞xf(x) dx   Ans)…

Q: 4. If f(x, y)=: Vx² +y? 1 , find f, and f,.

A: Given data is : fx,y=1x2+y2  To find fx and fy

Q: if f(x) = e*,0 < x< o, then the ú,(0): A) B) C) 2 D) 4 ......

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Q: - Given y= ela's -x²-In'r, what is y'?

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Q: B/let Flx)=[X]-X,x E(-2,2).which valuesof x o E(X) continuaus?

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Q: If Var[X+Y]=3, Var[X-Y]=1, E[X]=1 and E[Y]=2, then what is E[XY]?

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Q: If s=5√t+4, then ds/dt =

A: Given s=5t+4

Q: Compute the absolute and relative errors in using c to approximate x. x = e; c = 2.718

A: To Determine: Compute the absolute and relative errors in using c to approximate x. Given: x = e; c…

Q: show: o f(2) dz f(2)dz (Z-Zo) (C) (2-20)2 (C)

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Q: State by True/False: Va EZ, vb EZ a+b=2 O True O False

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Visitors from Jan Feb Mar Apr May Jun Tot SA 15 8 C D 9 5 66 Abroad A 3 13 26 4 6 62 Total 25…

Q: y = e* If then equals ?

A: ddxex = ex

Q: 43. fry(x, y) if = e"* f(x. y) en?

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Q: If a + 0, the degree of ax"y" is

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Q: E O y, = [Ax? + Bx] e2*

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Q: If f(x, y) = e + e", then .Vf(x, y) = (0, e') :Select one TrueO False

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Q: If // f(x,y) dA > 0. then f(x, y) ≥ 0 for all (x, y) in D. D

A: answer is in next step. please give a like !!

Q: .If F(x,y) = e¬* tan(x + y), find Fx(0, 4

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Q: If u = x', then the value of ди ди Əx' ðy are

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Q: et f(x,y) = In (x³y) . If f,(6,2)=f,(5,a) what is the value of a? O a. 1 O b.-1 O C. 0 O d.2 O e. -2

A: Differentiate wrt x and y

Q: Let c>0,then µ* (cE) #c µ* (E)

A: False statement

Q: If F=, and S: r=, Osus10svsa/2. Then FondA is equal to O a. 2 O b. O C. 1 O d.-1

A: Given F→=0,cosz,cosyand S: r→=u2,u,v, 0≤u≤1, 0≤v≤π2

Q: Let C: |z – i| = 3 and I = $. dz. Then e 6z z2

A: By using Cauchy integral's formula for nth derivative.

Q: Vy E R Ja E R [ (x² + y² + 1)ª+y+1 = 1] O True O False

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Q: let fho=3*-1지 , t E=(12] 州 fefE)?

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Q: If || f(t, y) dA > 0, then f(x, y) > 0 for al D (x, y) in D.

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Q: If X~B(20,0.3), Obtain E(X) and Var(X).

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Q: (b) If y=ae", express t in terms of a and y.

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