Differentiate y = laz az-1 In r Option 2 None of these 2n In z Option 3 Option 1 2ln-1 In z

Q: Find the line of best fit for x: 2 2 68 10 y: 01233 O ŷ= 0.344x+0.125 %3D O ŷ = 1.29x - 3.14 %3D Oŷ…

A: The regression is a linear relationship between one dependent variable and one or more independent…

Q: Fina aly for y = 3x V3-x4

A: we have to find dy for given y

Q: evaluate using the appropriate method or combination of methods.

A: Let,

Q: Evaluate: S, Vte-t² dt.

A:

Q: ORe = D.v.D Re= 1000*0.02495 0.027 1.002*103 Re- .V.D O Re= Re-1000* 0.0358) 0.027 1.002*16-3 Re- O…

A: simplify the expression.

Q: .Prove that e- -dt < (1+ t²)* 1/4 6.

A:

Q: /9 – 2° dz Integrate: z4

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Q: Evaluate [z tn"(1 + x®)dx (1+x³) x². p 1 In³(1+x³) + C 1 In*(1+x³)+ C Option 1 Option 2 12 in*(1 +…

A: topic - indefinite integral

Q: A. Homo ge neous Higher Ordered DE (0-704 - 310° ° + 103o² 1030² + 1500 - 216) y:0

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Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

Q: Expand: y= In O y = 6 lnx – 4 In w+3 Iny- In z Oy =6 Ing – 4 In w – 3 Iny + In z Oy =6 Inz +4 In w -…

A: We will simplify the logarithm.

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: 7. Show that Sx" Inx dx =Inx-+ c. n+1 %3D + C. n+1 n+1]

A: Using integration by parts we can prove the given integral.

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: Fbin= S= Fbin oS = ? (**Show your work for the intermediate step as well**)

A:

Q: az Find for z = x'y'eV

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Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

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: Find the Gomplex sdutiona to the e/s 4. (You maly expres the latems in Gmiblex Polat fom).

A: We need to find the complex solutions corresponding to z4-[(1+i)/√2]=0. The solution needed to be…

Q: 1 Find the Nahee af the falloding in togreals's Jet X+1 3. 8. +3. -4+3 da -2 2 JX -9. 2. Lett-lx 9.…

A: You don't mention which question i have to solve. And you already solved them. I go through all the…

Q: 2. Determine Var(Y) when Y 3X1 +2X2 with Var(X1) 1, Var(X2) 5, Cov(X, X2) 2, E X1} 3, аnd E{X} 4.

A:

Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: 2. Integrate: S w5 V7+ w3 dw 3. Find S (6-+ - sV) de

A:

Q: 3. Vsech 2t Evaluate dt 3. coth 2t

A: Application of integration

Q: (14) Approximate S, x² ex², Using Simpson's rule dp,

A: Simpson's rule is a numerical method used to approximate the definite integral which represents the…

Q: it is unbaised estimated of a Then Show That ta is baised estimated of O2.

A:

Q: Show for Re(z) > 1 ex – 1 dr = T(z)5(2). et – 1

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Q: Fincd dy for y-sinner} er tot

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

Q: 2): Consider the DE y" – y" – 6y = 0 -

A: Follow the procedure given below.

Q: (z In z + 5)dz

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Q: Thene m for Voritly functiom Mean Valne fex) 2. 3X -4 +S the

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Q: S x2 +2x-10 (2x+4) + 1 JE + 4x +5) Consider dx = x² (x² + 4x + 5) (2x+4) + 1 dx- x² + 4x +5 dx ,…

A:

Q: FIND dy AMD dy AMD Gint OF

A:

Q: 4. For a fully discrete whole life insurance of 10,000 on (45): (i) Beth net and gross premiums are…

A: I proceeded to get 78.5221 for the gross premium

Q: Find y' if exy = e 4x -esy-

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

Q: 7) [[3embch5y] dvl [jel*5) dy] „In[sec h 5y]

A: Using rule of logarithm &amp; integration formula of sech(x)

Q: II z= ě Y x - Juv Find dz dv üs ing chein rule.

A:

Q: 3. If f(x,y,z)= In 4 xyz Ite t3y:²s²) , find f,,f, and f..

A: Given that: f(x,y,z)=lnxyz4+e-(3xy2z2)

Q: Use Simpson's Rule with n = 4 to evaluate [² (t³ + t) dt

A:

Q: Find y' if y= In coshv tanh v. y =sech v-2tanh v O None of the above O Option 4 y=tanh'y y'=tanhv –…

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Q: 35 Find the extrem poinbs of Pcxry)=xy Subject to X+y=20.

A:

Q: Find dr. J (1+z²)3/2 - In Vx² + 1 + x| + In |Vx² + 1 + x| - Ja? + 1 +c Vx² + 1 O Option 3 Option 1…

A: Let I= ∫x21+x232dx Let x=tanθ ⇒dx = sec2θdθ Substituting this in I, we get

Q: mith Exe:- Jk +3 - tyk+Z +ZYkxi +36Yx =1+2

A:

Q: of fox) using the C) Calculate the derivotive chain rule. fex)-(2-3x)

A:

Q: First and second derrivative of: In(x^3y^2)=x^2+y^3

A: Given: ln(x3y2)=x2+y3 Differentiate the function with respect to x.…

Q: ncuentra la solución general de la EDP az az 2, дх ду (1+ z-x-y) necar si existe una solución que no…

A: