0. If (a, b,c, d, e, f.g,h, i) = (a)(b) – (c)(d) + (ef )'(gh)? which cannot be a value of ?

Q: 7) S fysinx'dxdy 1 ans:- (cosl–1) 6 4 -y

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Q: 3-If u(x),v(x) and w(x) Find d/dx of (uvw)

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Q: 10. dr S f(æ) dx = Choose...

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Q: 2|x~ Bin (wa) X~ TI (Q) = -IN 0 QE [011] you should Find posteria 8201 other wise

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Q: 20.tvaluate :L[t cosh 14t] A, 3s? +19le s²+196 C. (5?-1967? (6?-196)? -s?+ 196 s?-196 B. D.…

A: Using property of Laplace transform

Q: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

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Q: |(7) In general, SUT S (SUT)', but (SU T)' S°UT. Pra

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Q: 2 Exercise.8 Find: P4 (x), Pg(x), L P¾(x) P3(x) dx , LIP,(x)|² dx

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Q: .'( , "ג oa3 (125x*y)" 学 A: 125 2 3 $%% 1/3 5メ Y C: D: VONE OF THESE

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: a+, 3. f(1)=1** +a cosh /21 +bsinh /21 f(1) =2cos" (21) +e² 4.

A: The Laplace transform of the function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt, since the dimension of…

Q: 8. Given that (2x-x*); 0<x<2, S(x) = ; elsewhere. a) Calculate E(X), E(X²) and E 2- X

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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: Prove thiat dx Ś (areten()) ) = し 4+X

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Q: Let Xn ☆ Bil^,p] where n& P ae wnknown. Find method of moments estimators for n&

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Q: 13. Find ML. J 3x + 11 K N 45 7, 10x - 12

A: According to guide and we should have been able to do only one question at a time #13

Q: popula ty that least th st of fo

A: It is an important part of statistics. It is widely used.

Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Find the length of the curve y = In(e - 1) – In(e + 1), In 2 sxsIn 3.

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Q: 3. If f(x, y, z)= In xyz te(3.0²), find f,,f, and f-· 4

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Q: 18-If the coefficient of AR(1) is -0.85 with ap-value of 0.000 that means: a. There is positive…

A: Correct answer is (b). There is negative autocorrelation in the model.

Q: 2. Z=e Iny

A: Given that, z = ex ln y x = ln (u cos v) y = u sin v We have to fin dz/du and dz/dv. Then we get,…

Q: If fufe.- fuave diffa Veubable at'xo eI fuave difle Veubable at Xo eI Pi:I R,ists-n prove O…

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Q: Is there a way to solve this w/o using L'Hospital's rule?

A: Solution

Q: Fincd dy for y-sinner} er tot

A: Explanation of the solution is given below...

Q: 11. Prove the absorption law x +xy=x using the other laws in Table 5.

A: To prove: x+xy=x We use the following identities (1) x=x·1 (2) 1+x=1 (3) xy+z=xy+xz    ( This is…

Q: An M.V.U. is unique in the sense that if T, 1 M.V.U. estimators for y (0), then T, = T, almost

A: A sample statistics t is said to be unbiased estimator of population parameterγ(θ) if expected value…

Q: Assume that after w months, butterflies’ populace in 1000 is calculated as: f(w)=12w+cos⁡(16w)+n×100…

A: Given: Butterflies’ populace after w months is given by f(w)=12w+cos⁡(16w)+n×100 in 1000 where n=824

Q: 23. If exy = 3, then what is Y at the point (1, In3)? dx -In3 3ln3 In3 -4In3

A: Given:- exy = 3 To find:- dy/dx at point (1,ln3)

Q: az given that yz*+x2z3 = eyz ax

A: H

Q: 7) reflection across y =X (х,у)-(у.х)

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Q: If In(ax)dx = 2, then a = %3D 1

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Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

A: Follow the procedure given below.

Q: a. 2,526sinx + 2,526cosx Yp 29 b. yp 89 3 M 7,930sinx + 7,753cosx 91 3 = c. Yp 3,290sinx +7,753 cosx…

A: We will find the particular integral.

Q: 4. So -dy Vy+1

A: To evaluate: ∫01yy3+1dy Substitute y3=u2⇒13y-23dy=2u du⇒13u4dy=2udu⇒dy=6u5du. As y→0⇒u→0, y→1⇒u→1…

Q: and p(n) iF IF Fon) = 4 sec t dz.

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Q: -64- Eke n Calcul afe th udlue of Z.Z ?

A: according to company rule we answer only first question and rest can be reposted.

Q: + 4 (A In(x² + 4) + C B arctan() + C (C) jarctan(;) + C -arctan() D arctan () + C

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Q: 4 In(t) dt

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Q: 10- If f(u, v, w) is differentiable and u = x - y, v = y - z, and w = z - x, show that fe fe fe = 0.…

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Q: 1. Let x (x,) E l. Find x if 11-- a. x = 2 %3D

A: This is a question of functional analysis in lp space.

Q: 1- In x)² If u=In x, then dx=? L'a-wdu A B

A: From the given integral: I=∫ee21-lnx2xdx   ...1

Q: If [ In(ax)dx = 3, then a %3D 1

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Q: Show that S ťe dt = 3VI

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Q: See image below.

A: Given that the tangent line touches the curve y = f(x) at (4, 3) passes through the point (0, 2).…

Q: Suppose / (s) - (÷)*" valuate: Js(x) dr +C 3- In (5)

A: Given      f(x) = 1512-3x

Q: = 11% and E = 715, calculate the Еxample 4: If К. stock value of XYZ Ltd. for: 2) r= 11%

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.