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Q: (1) Use the trapezoidal rule and (2) Simpson's rule, with n= 10, to approxima te the integral. Round…

A: Topic : numerical methods

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Q: In grade level school of 220 Stcblente 1os stuents are in arts, 200Stuents lare on The sPOrts team…

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A: Let X be the random variable such that the life-length of the battery producer company fabricates.…

Q: b) Estimate the integral esindx using composite traperoidal rule with h= 0.25.

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Q: Show that Ě = 3xyê+G)+2Ê is R3 and Pind Conservative a potential Ø Rar F. on

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Q: Prove that the derivativeo P(zx tJ's 4(2Xbjusiy Pirst Princiele 4(2X+)by jusing first Princiele…

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Q: 4ス+S fra) = 7 +2 Contromulily of he funihim ihe fumnim Discuss The at x= 1

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Q: OProve that (r=s)Er S is toutology?

A: The objective is to prove that r≡S≡r↔S is a tautology.

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Q: Q3 Finel the Foulier Expensian of Hhe funchien delund in a Sigle Porial by he voladons. %3D |

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Q: 5.) Consider the fonction fas= x'+ex²+lx +6 Evaluat e Ho) - fc-4) 6 - (-4) fCx) di ffer entiable on…

A: Given:       f(x)=x3+6x2+11x+6

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Q: A nermally distolated cndee erióbh with medn e has ė pabiblity dansty pabibiliy Ancty fnctin fris by

A: The normal distribution: A continuous random variable X is said to follow normal distribution if the…

Q: Find the diralind desicatir o7 5 at Paint Pin the diction A where

A: Use the formula for directional derivative and solve accordingly.

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Q: of Let f(x,y)=tanh-1(x-y) with x=e" and y= usinh (1). Then the value of Ot (u,t) =(4,In 2) is equal…

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Q: *Write ascript Ble for tayler polynamial of order 5 foU= LnX near Por where the out put is ycl-15).…

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Q: Use the difinition of error function Prove that: 5(1/₂/2) = 5T let: ere (x) = 33/3324 dt

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Q: Inand consicr HeLines (tn) venfy Al-5,-6) isapoint of (d) 2) prme Hat (4,)-b de] 3) Cans tract (d1)…

A: Since your question contains multipart, we solve only 1,2,3. If you need any particular question…

Q: ex: E valvate the tollowing limite by uesing L'Hopital Yeele Sメ+ら DLim メー2 x²-4

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Q: 3 1-Vy dy 2 2у3

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

Q: V2 Find the ual. af the s-lid romes from rot sing the failion Shoun in Fig- about XAxis withini the…

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Q: Fincd dy for y-sinner} er tot

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Q: O Evaluate the foll owing in tegrals: Ins 2x+y (Sinztcany) dx dy In2 e dydx JA ROSISu, Isys2

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

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Q: Last update: 07/29/2019 AL JATIVE use Rabio tes to Det t if Dipergenceercavenger.ce i- The test is…

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

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Q: 3 3 O Find the rot of fX)= x * - ? pplying Secnt Method and Regula Falsi Methock twice with initials…

A: Given that,f(x)=x32-32The root of the above function is calculated using Secant methodand Regula…

Q: Show that {zn}nEN is Cauchy, where z, = sint dt. 1+t

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

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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: 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: Consider o Com Assume He holding holding 入, thot s Vo =VI = to the ofher going 1. Draw the rates,…

A: 1) Given that the continuous Markov chain has two states s= {0,1}. The holding parameters are given…

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A: We need to prove that the  β^0,β1^    are the unbiased estimators of    β0 and β1 In population…

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.