express cach the Rullowing iutegols. in herms of gamma tnchien and Simplity where passible. 00

Q: Q2 Which of s1852 forms abaris Jus tify and find the (corolinates g V=() relative to that bazis:

A:

Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +…

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: Prove Coutr apo sition each 4 the pollowing sted ement by 4 s odd then rS odd fa) dn to theu tere…

A:

Q: Detesmine. i the following ayölem is consirtent? - +3+44-0.

A:

Q: II. Find the area of the following Triangle 1. 2. B 9.8 12 3. 4. 23.7 20.3 18.7 10.8 4.3 14.9 24 8.3

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 11 10 nd the area of the shaded area. Use 3.14 for Type here to search

A: Topic:- area of circle

Q: 8. HX-NG-200.- 100), which of the following is FALSE A PIX 214 = area of the unshaded region C POX…

A: Given that  The data is normally distributed  Mean (μ)=200 Variance (σ2) = 100 Standard deviation…

Q: sin³xdx Which Jof the following is one of the correct steps to evaluate 1- cosx sin?ydy sinydy (A 1-…

A:

Q: w. Determine He positive read rof of the fellowin equ. I Sinx =x? SinX = x Xe- o5, Xu=l, E= 2Y, by 2…

A:

Q: nyb experin are co CO robability that a pea has green pods. As ete parts (a) through (c) below.

A: Given, n=32 p=0.25

Q: 1 dx by Simpson's rule using eleven 3. 5. Evaluate 1 + x ordinates.

A:

Q: e the sum and difference identities to determine the exact value c

A:

Q: F Recaghi2e f the fehctioh abe evola ar ood fex) =X+|

A: Given : fx = x+1

Q: The segment CD is tangent to OT Find mZTDC. (7x+3) (3x +7)" MZTDC: (Type an integer or a decimal. Do…

A: We have to find the measure of angle TDC.

Q: Insec² (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A In…

A: Explained below

Q: B) xy cosy =

A:

Q: Q4: Show that sin aw Hint: use the following: Flu(t + a) - u(t - a)I = 2a sinaw/aw

A: .

Q: a) Describe the shapes of the ACF and PACF of following processes • an MA(3) an AR(1) an ARMA (2,4)

A: Given three time series process MA3, AR1 and ARMA2,4

Q: ex Let frx) = cos x - frx)3Dcosx %- O constract hout X-0 ? the 3rat a Taylor poly Par fx) CA

A: The Taylor's series expansion for a function can be obtained using the formula…

Q: Lees.l. Evalvate exaet error f(-s)- Pelis) lhiase us using FI- 0, .5] were polutes yefa>=snx 4 Pz(x)…

A: To find - Evaluate exact error f0.5 - P30.5 using F-π2, 0, π2, π4, 0.5 where P3x interpolates y = fx…

Q: C 15-binomial tritts, =0.9 I Pliod no tarble ? p(8¢* $12] 3 Plat most l12) 4pcx>) norma)…

A: Basic probability

Q: Qas: Denolop fex) the ouries in Seales, it defined as: -1<えく0 S -3x , 32,f o<ん<1

A:

Q: y'r ?y'ty =xe Use the methad of variatien to find genead solnin f diff equarin.

A:

Q: The lneal ewation if Possible X1 +3 = O Sya ニ0 343 + X4 =O 3x1 t 2xd

A:

Q: ind the Cirst deritive by arryind the appropiate.ule o not simplity the algeba. 1-e (b) gix) = +sin…

A: Recall: Quotient Rule of differentiation  : ddxuv = vdudx-udvdxv2 dexdx = ex dsinxdx = cosx dcosxdx…

Q: Sind the ared betwee h 2. メニリ and t= %1

A:

Q: PAGE DATE FIND THE AREO IN THE FIRST QUOD ROINS BOUND ED BY FCX )= Yxx anD TiHE X-Oris.

A:

Q: fferential Eugh by finding tor. (6n +only)dy=0)

A:

Q: The distance from apoint s(XojYoZ toplane MM=9X +by Cz td = o is given. bg %3D .... ... d = InoPs]…

A:

Q: 4. (i) Given that z = ete, show that z" +z- = 2 cos ne. Use this result to express cos$e in terms of…

A: 4i)

Q: find the furfane u area uylnden of eadiee a and ugth L

A:

Q: :) Find tre prabubility that a particular. seleated Team a) I Noa.sn the **.... the oniginal 5 men å…

A:

Q: K bea nentaal ongwnity. Piac if aF1 ja71,a²=1 then atl and a- are zero dnMrs

A: ANSWER :

Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations?…

A:

Q: 3. A personal trainer claims that their exercise programme will lead to a re- duction in weight. The…

A: In order to determine whether the trainer's claim is valid or not, conduct a paired mean difference…

Q: Sktch He groph of he followig fretions : xEx+1 - ,cee!)* 113 i) Slx) = ii) for (x+1)2

A: i. Given, fx=x3-x+1x+12 Now the graph is,

Q: Let x~ gamma Ca,ß) ASsum a = 4 B = 3 Find © P { I x-MI >204 Pfix-MIS 307

A:

Q: Xarctonx dx which of the following îs the Va lue 1+x2 2) of the întegral în the meaning of Riemonn?

A:

Q: Evaluate and simply S x(x2 – 3)8 dx. (Show what is u and du)

A:

Q: the ents 86. cheek the comvergenie g i) E sin (h ) - 3

A: (i) Given ∑sin1n Let un = sin1n Assume vn = 1n Consider limn→∞unvn = limn→∞sin1n1n= sin00= 00 Thus L…

Q: Q4: Show that: sin aw, 2 dw = aw a Hint: use the following: Flu(t + a) – u(t – a)] = 2a sinaw/aw =…

A: We have to show that ∫−∞∞sinaωaω2dω=πa Given hint: Fut+a−ut−a=2asinaωaω Use Parsewal's theorem,…

Q: Thnd the ceneral olution f 学了 differatial 2Sin 20-400520 The squation de

A: firstly we find C.F and then P.I. general solution,  y=C.F.+P.I.

Q: The milligrams of aspirin in a person's body is given by the équation a where t is the number of…

A: The amount of aspirin is given by the equation  where t is the number of hours.

Q: of z = 1, the fL pansion of the z)2 + . 00

A:

Q: F Sin(ncso)- Cscrsin o) , thes the valke of 10+4).

A:

Q: 3) What iS used suitable ntegrating factor that ca be the epuation bela a to Solue Do not solue the…

A: We have given differential equation,    cos(t) y' + sin(t) y = t2 and we have to find Integrating…

Q: the interud Dlve the equation on Ose<aTT 4Sin 0-2=0 Jhat to 4 SinG -2= in are the the interval

A:

Q: Hawad Findthe areas fak the fallowing regions 2 Area af the region insidethecircle (r=1) and outside…

A: Given

Q: O For the followiny Sunctions, Sind the points where they are Continnous X+3 2-e 13x-1 fx)=

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.