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Q: 2. Use the Simpson's (1/3 c2 (c) x sin x dx

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Q: 9. If f(r)dx > 0. then a E [a, b]. f(x) > 0 for all: Doğru OYanlış Seçimi Sıfırla

A: True

Q: by first- shifting find L(t2 e-3«) = %3D (s+3): ; * 0 a O (s+3) 2 * b O 3.cO (s+3) 3 1

A: Solution:- Correct option :- a Detailed explanation

Q: If f(x, y) = xe2y + 6xy, then is dydx given by: e2y + 6 등 2e2y + 6 2 O None of these O 2xe2y + 6…

A:

Q: 16-17. Find the value of n that makes AFED~ AZYX when DE = 4, EF = 5, XY = 4(n + 1), YZ = 7n – 1,…

A: To find the value on n so that two given triangles becomes similar.

Q: E. If T:(x, y) -→ (x + 2, y), then T²:(x, y) → (_²_, _?_).

A: Given: Tx,y→x+2, y To determine: T2x,y→?,?

Q: 4. If z = x + iy = (x, y) then the Re(iz) A. Imz B.-Rez C. -Imz D. Rez E. none of the above

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Q: Let C: |z-il=3 and I = $. , dz. Then e 3z z2 |= 6ti |=0 |= 8Ti |= 4Tti None of these

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Q: 1. w = sena cos ß 2. W = w u+v 3. f(r,s) = rln(r² + s²)

A: w = senα cosβw is the function of α and βFirst partial derivatives : ∂w∂α = cosα cosβ     {β will be…

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

A:

Q: fong=メーm X= Sin z0 4= coszo COSzo df =

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Q: O a. { O b. {7 – 5}0 O. {e-"}1 O d. {cos(n)}1 2" Sn=1' Ob. nin=1' Oc. Sn=1 O e. Ninguna de las…

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Q: 2 If In(ax)dx = 3, then a = %3D %3D 1 4 4 e4 4 ез 4 O None

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Q: If f(x, y) = cos(æ – 4y) then: fea(x, y) = fay(x, y) = fw (x, y) =

A: The function is f(x, y) = cos(x - 4y)

Q: みm 'cU24onba buimoll ut anos Give answers occurate to o tu100yら19 SONe the foilowing tigures 6.8=…

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Q: X E R, 3y ER: Iny >e* Select one: O True O False

A: The domain of the natural logarithm function "ln" is 0,∞. The range of the natural logarithm…

Q: Let z = a?y- ay?, x = e-24, y = e*, then which of the following is at O a. 2e-2t – 2e2t O b. 2e2t –…

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Q: ins thy Anss.2 e- -e. edxdy. 3 xy . Ans. e.2.

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Q: dt 20.5 t2+2t A - In|t? + 2t| + C B. 2ln +C C. In +C D. In + C

A: First we common out t2 from denominator and then put 1+2/t=u and differentiate both sides with…

Q: 4. Given [1, 0<ykx<1, fx (x, y)=D 0. otherwise. Are X and Y independent b. Find E(X |Y) a.

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Q: Find the following:

A: a)

Q: d the values of az/ax and öz/ay at the point z - xy + yz + y' - 2 = 0, (1, 1, 1)

A: Given that  z^3-xy+yz+y^3-2=0 To find the partial derivatives at point (1,1,1)

Q: If x= 2u3 – 3u² and y=u³ – 3u, then dy is dx u+1 (A 2u u+1 B и — 1 2u и — 1 D

A:

Q: 4. (a) If y = A + Bx + Cx2 and yo, yı, y2 are the values of y corresponding to x = a, a + h, a + 2h…

A:

Q: If dx is between 3 and 6, then c must be between... O 2/2 and 8. 1 and 6. 1 3 O 2v3 and 3V6. O 3 and…

A: Option A is correct.

Q: The general sokution of the DE y"-y" + y'-y 0 is Y = C e*+ czx e* + C3x'e* None of These. Y = C1 +…

A:

Q: f(t) = e3t + cos(6t) – e3t cos(6t) As4 + Bs3 + Cs² + Ds + E F(s) Fs5 + Gs4 + Hs3 + Is² + Js + K

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Q: dw и and if w = x³ + In (²) dv E) + y, x = u² –" + 5 and Find - ди y = 3v + 5u and point…

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Q: (6) Euter eio_ el" = Cos e +i Sino, whore i = J1. where i= JT,

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Q: kx 4+x² If k > 1, evaluate O ka -In|x² + 4 +C 2 Okx -arctan (2x) + C 2 Ok In(x² + 4) + C O arctan…

A: Given: I=∫kx4+x2dx   ...1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

Q: af af e. Find g(x,y,z) = af +: az if f = xy²(z³ – 1) | ax ду

A: Given:    f = xy2(z3 - 1)   To find :  g(x, y, z) = ∂f∂x + ∂f∂y + ∂f∂z

Q: If y = E£o (k + 1) æk+3 then y' = Eio

A: A series representation of a function y(x) can be differentiated term-by-term to obtain a series…

Q: If e'z = /3 -i.Then Im (z) is %3D O a. e2 b. 0 С. 1 d. -In(2)

A: eiz=3-i Now let z=x+iy. Then, ⇒eix+iy=3-i⇒eix+i2y=3-i⇒eix-y=3-i…

Q: .2 3. If o (x) = f Ví dt, then 0 (a) 2x2 (c) O do dx (6) SA (d) 1. is

A: ϕx=∫0x2tdt

Q: 2 (b) S(2 + tan (0))do (c) S 2'(1 + 5')dt

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Q: What are the conditions on A, B and C for an ODE of the form Ay'' + By' + Cy = 0 to have solutions…

A:

Q: 12. Let z = æ²y – xy²,x = e " ,y = e#, then which of the following is ? %3D at O a. -2et – 2e-2t O…

A: Partial differentiation of a function is the derivative of the function with respect to one variable…

Q: a?u du k 00 at Subject to the condition u(0, t) = 0, u(L, t) = 0 50x u(x,0) = f(x) = 50 – L. 0<x<L

A: Please check step 2 and 3 for solution

Q: 2 If [ In(ax)dx = 2, then a %3D 1 e4 4 None es 4 4 4

A:

Q: CO, 1) B1, 1) R. A(l, 0)

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Q: 1. Given that X1 = 1 X4 =-2 Xs = 4 X6 =-1 X7 = 5 X2 = 3 X3 =0 Xg = 2 X9 = 10 %3D Γind (a) E X;, (b)…

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

Q: 00 e-Xx"dx= %3D T(n – 1) aO not exist bO r(n) 2. [ (n+1) dO

A: We use the definition of Gamma function for this problem.

Q: 2. If f (x) = * +2 and g (z) = - and h (z) = 2I + 1 find the following |3D fog= b. hof= c. hog= d.…

A:

Q: Hew.3Findwandow de when P=ty9-4if: be W = xy +yZ + Zu +uV and x = Pg ,y=4 tan P 2= Ln L4-3e) V =P++1

A: put value of x,y,z,u,v in w to solve the partial derivative.

Q: If we know that E (") (x" 1) = ("†").t then show that Eo (") -C") r3D0

A: Given information: The given theorem is:

Q: 19. Evaluate ra emax (b²x², a°y') dy dx, Jo where a and b are positive numbers and max (b²x², a²y²)…

A:

Q: Suppose, X|0~ Binom(m,0)and 0~ Beta(a,ß), then Var (Y) is equals to, тав a) (a+B)°(a+ ß+1)…

A: x|θ ~Bin(m,θ)θ~beta(α,β)then E(x)=E[E[x|θ]]=mαα+β var(θ)=αβ(α+β)2(α+β+1)

Q: If F(x,y, z) = (5x – y + az)î + (bx + 2y + 5z)ĵ + (2x + cy – z)k is irrotational then find the value…

A: Explanation of the answer is as follows

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

A: