u e R is called an upper bound of S if u

Q: dQ Q(t) + 30 1000+10t 400; Q(0)= 50,000 %D dt

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Q: Given that w= f (x,u,v),u= g(x, v, y) and v=h(x, y). = f„8, + f,h, + f„g,h, ôy Show that

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Q: Q. Let µ be the Lebesque measure on B(R). S = {4n1,n e N}, A = [2, 5];Then a. µ(S) = 4 and µ(A\Q) =…

A: The given sets are S=4n-1n+3,n∈ℕA=2,5 We have to find the Lebesgue measure of these sets. As we know…

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Q: az əz If z= f(x,y), where x = (s+1) , y = (s- t). Then Əs at

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Q: Let ej = (1, 0, 0), e2 = (0, 1, 0) and ez = (0, 0, 1), and define VCR' via V = span(e + e3, e¡ – e3)…

A: Dimension of the vector space

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A: Since question number is not given, I am solving Q-37, if you need solution of others then please…

Q: 4. Let R1, R2 be the result of two independent rolls of a fair die. Let S= R1+R2 and D= R1 – R2 be…

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Q: Which of these are closed regions? D.|Arg z|1 F.-1<I'm z<=1

A: D. 1)arg(z) is the angle between the line joining your point z=a+ibz=a+ib and the origin, in the…

Q: Assume that we approximate a number Xo by X n. The relative error is defined as: a. ]Xo – xnl |Xo- X…

A: Option d is correct.

Q: Which of the following can the Simpson's rule possess? * Positives Аccuracy O Negatives Zero error

A: Which of the following can the Simpson’s rule possess?a) Negativesb) Accuracyc) Positivesd) Zero…

Q: eiw Фx (») %3D 1+ 4w? 11) Prove that the mean of X= 1.

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

Q: 100 e of f (s) = %3D s (s+2)2(s+3)

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Q: Differentiate. x ujX = A 2 In x O (In x)2 x U -x u No new data to save. O00 F5 000 F4 F2 F3

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Q: 1: Let w = eVE, where x = 5s2 – 4,2, y = 3r?s?, and : = Find the value of when s = 1 and r = 2.

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Q: fa,p(x) xx B,a > 0, B E (0, 00) %3D xa+1 Find minimal sufficient statistics for (a, B).

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Q: State the restriction(s) on the domain of the equation. (z+1)(z+ 10) (x+ 4)(r+ 1) f(z) = O=+ 4,1 O…

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Q: At time t hours a company is selling items at a rate of r(1) items per hour. 10 Interpret the…

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Q: • Let f(u) = a'u = Li=1 a;Ui for a, u E R“. Calculate Vuf(u).

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

Q: Let x, y be two positive real numbers such that a?y6 + 4 = a where a > 4. What is the minimum value…

A: To find the minimum value for x+y3 if x2y6+4=a where a≥4.

Q: af (x,y) f(x, y)=xe"+* 5 у, Х (а) Сompute y af(x,y) X f(x, y)=xe³"+* ,5 у (b) Compute ду y

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Q: Recall the relation between degrees Celsius and degrees Fahrenheit: F = 1.8(C + 32) X and Y are…

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Q: Evaluate f(x, y, z) dS. f(x, y, z) = x² + y2 + z2 S: x2 + y2 = 36, 0 < x < 6, 0 <z < x + Z° %3D

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Q: now using MGF technique that if Z, ~ N(0,1), for i=1,2,3,4,5, then U = Ez ~ x² with degrees of…

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Q: #6

A: We know that a Gamma density function is: So E[X] is:

Q: z = f(u), u = ax + By, then zyy equals Select one: O B² f" (u). O B² f'(u). O Bf"(u).…

A: Given z=fu, u=αx+βy Find zyy which can also be written as  zyy=∂∂y∂z∂y Here first to find ∂z∂y.…

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

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Q: Q. Let µ be the Lebesque measure on B(R). S = {,n e N}, A = [2, 5];Then n+3 a. µ(S) = 4 and µ(A\Q) =…

A: Measure of a countable set is zero.

Q: 8. Let S= I+T*T: H- H, where T is linear and bounded. Show that s1: S(H)– → H exists.

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Q: g(x)]dx, (b> a), for all f, g € X. Show that (X, d) is a me

A: Matric Space

Q: Campute the improper in hegnel S, xe

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Q: For f dw ,w = w-wa O w = u^(1/3) O w = u^3 %3D O w = u^(2/3) w = u O O

A: The formulas used are 1.∫dxax+b=1aln(ax+b)+c2.ddxxn=nxn-1

Q: Let f(x, y) = x² e". What is fx(3,0)? Select one: O a. 0 O b. 6 O c. 9 O d. Not defined O e. None of…

A: We have to find the value

Q: BCShow that the nonlinear ODE y'(t) = (a + by)(c(t) + d(t)y), where constants a, b + 0 and c(t),…

A: Substitute y=bz-ab............(1) Now differentiate the above dydt=b-1z2dzdt           ........(2)…

Q: Q. Let u be the Lebesque measure on B(R). S= {2n + 3,n E N},A= [1,5];Then a. u(S)= 3 and µ(A\Q) = 4.…

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Q: Find e^z in the for u + iv if z = 11πi/2. (use 3 decimals)

A: Given z=i11π2 We have to find ez in the form u+iv

Q: Let f(x, y) = y? – x? and g(x, y) = e²+y. Verify that div(ƒVg) = fV²g+ VƒVg.

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Q: Lower Bound = p – z* × SE Upper Bound = p+ z* × SE

A: Obtained that   p^ = 0.8468 Standard error (SE)= 0.0123 Confidence level = 93%  = 0.93 Level of…

Q: 5) Let X be a r.v. from F(n, m), Let Y=- then F(m,n). Y a) True b) False

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

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A: Given that, F(x,y,z)=-yx2+y2i+xx2+y2j,         (x,y)≠(0,0)

Q: 2. Let fx(X) va+I, Where x > b and a and b are positive parameters. Find E(X) and Var(X).

A: See the handwritten solution

Q: O Let f(x, y) = (5æ – y)°. Then -

A: We can find the required partial derivatives as below

Q: Make a ta b le for th e giren be lo w and fin d th e s ta n d ard devia tio n. 3, 8, 16, 12, 4, 5,…

A: Given: The data set with 8 observations. The mean of the data is obtained as below:…

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: Find (a) ker(T) and (b) range(T).T: R3→R3, T(x, y, z) = (x, y, z + 3y)

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A: Given,          fx,y=exy

Q: Let A E Mn.n: Show that AT A and AAT are similar.

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Q: 26. Let µ be the Lebesque measure on B(R). Calculate (i) µ(S), where S={n,ne N} 4n-1 n+3

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

Q: Find the standard matrix representing each given linear transformation.

A: Given: a) L:ℝ2→ℝ2 is defined by L (u1u2)=-u1u2            ...................(1) b) L:ℝ2→ℝ2 is…

Q: 1 (스 est An Fis)=t n(1+) cSst e's e

A: