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Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

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Q: 3 Using appropriate substitutions evaluate V9 – x² dx

A: To find : Evaluate the integral given in the question.

Q: f(x) = sin nx OKKI, > n such that If exist KEIN If₁a) - foxil < 10 Ans. K =11 / does there K and XE…

A: The given function is fnx=sin nxn, 0≤x≤1 To find: the value of k.

Q: eferaine the radiea) of the constint e for whichiscentinuos on Eo, 00) if n<a 2n +4,if Y2

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Q: af find given f (x, y) = e + 2xy² - 4y at (0,3) 9 ду O-12 O-7 O 8 O 4

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Q: dx Evaluate: Jo J1-x² ' V1-x2 O T/3 O none of the choices Ο 1/6 O T/2

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Q: If k> 0 such that O St the above 4* dx = 3 then k = 2ln 2

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Q: If f(x) is odd and ∫-1 to 5 f(x)dx=11 then, ∫1 to 5 f(x)dx=?

A: It is given that f(x) is odd and

Q: Let =)4.i8 0<x<1 f: [0,3]-R defined by fo %3D 3,if X=1 5, if <X< 3 show that feBra and thab fa.dx =…

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Q: figure th

A: 1) Here we have to find the ∠RST=?

Q: Q2: EVALUATE * SJs(x) dx a.

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Q: eiw Фx (») %3D 1+ 4w? 11) Prove that the mean of X= 1.

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

Q: Isint t this equal to-. f(t) will noy+"|72 7 74155 = (+) JT W 17 750)

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Q: The evaluation of S z dx is V4+x2 O In(sece + tan0) + c o - In(sec0 + tan0) + c c In|sece – tan0|+ c…

A: we have to evaluate the following integral .

Q: 100 e of f (s) = %3D s (s+2)2(s+3)

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Q: If f(x) = 3z – 2z -? tan (z), then f'(1) = %3D Select one: O a. 10.5 ОБ.11 Ос. 16 Od 15.5

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Q: LOY diw anoaduo cdi aisup.ebis diod od ol (-1< s < 0; 0 < ^) to evaluate the following. dalldeten…

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Q: Evaluate: x tan x dx 3 A. – In /2 – 4 32 B. -1- 4 32 V3m _ In 2 – 5 3 18 D. NO correct choices. C.

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Q: a) f a²+ a ECCR) for all a E R, then Poove thot R is Commutalve.

A: According to the company's guideline, we shall prove first Que only. For others, kindly post again…

Q: VPux (1 – Pu) (0.50) d.f. 117 (116) (0.03) 322 ( ) ( denom. tobtained AUC (0.65) () () Pu Ps S =…

A: It is given that the information about the parameters of independent-sample t-test.

Q: ange between t = 0 ange betweent= 0

A: Average rate change : f(t)=-t2+2t-3 at [0,3]. Average rate of change  at [a,b]=f(b)-f(a)b-a

Q: dx Evaluate: V4-x² Tt/6 T/2 T/3 None of the choices

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Q: Sor's Evaluate e" 2e* 5e dx

A: The given integral is ∫ex2ex5ex dx

Q: 25 - x2 In dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: On solving this we will get

Q: Q.No.3 Evaluate Sx cosec-xdx.

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

Q: du k Ət u with ди (0, t) = 0, du (L, t) = 0, and u(x,0) = f(x). Əx²

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Q: a) Find the differntial dy: (x+7)/(x-7) b) Evaluate dy for the given values of x and dx: x = 6,  dx…

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Q: f(x) = x³ – c to answer rval(s) on which f(x) is ir

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Q: dx is finite -1 × Select one: O True False

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Q: If dx = In |x| +C, then d 및 (In |x| + C) = for x> 0. X

A: Given,         Assuming that x&gt;0, use differentiation to justify the formula ∫1xdx=lnx+C.…

Q: 3. Evaluate J,?-6x+5 1 dx if it exists. |

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Q: X = {a,63 wiTe tind large To Pology le T 2) on X

A: There are 4 topology based on above given set elements Discussed below

Q: K (To - T) if 0 <TST. if T, ST y (0) =A

A: Given, dydτ+αy=kτ0-τ , 0≤τ≤τ00             ,τ0≤τ  and y0=A

Q: y -los ON O B) ) A) C) D) None of these

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Q: dx le x(In x) 7. Evaluate: A. B. C. D.

A: Given- ∫ee2dxx(lnx)3 To evaluate the given integral. Here we will use the following formulas-…

Q: P(Z = 0.76) %3D O 0.71 0.22 J0.29 O 0.78

A: Note that Z (standard Normal) is  a continuous random variable.

Q: Q: Prove that : sin' ne -de = na for all n e N. sin' e

A: solution is given below

Q: Campute the improper in hegnel S, xe

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Q: %3D otheowis Jiven that Pa) is apd f O find c ?!

A: 1) The value of c is obtained below: Given pdf is, f(x)=cx, 0≤x≤2 ∫02f(x)dx=1∫02cxdx=1   cx2202=1…

Q: a. Find 9 of the following. dx dy 2. y = (V4x – 3x)' 3. у%3D (4х — 7)11 (2x + 5)15 4. y = xVx(x? –…

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Q: 'ind R(t) given R(1) = (1,0,−1). 'ind f'(1) if f(t) = (-2, -3t, t²). R' (t).

A: Given: R→'t=sec2t-1,2t,-2

Q: Solue the differeulial equalion dy +9-é^ Cosre zo yo) =0. 2. by csing milne's methad with h = 0.1.

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

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Q: 5. Given y=af(1 Find when =1 if f(2) = tand f(2) = 5.

A: Topic = Derivative

Q: 37 Го fо7 (xsin(у) — усos(x) dxdy %3D 2 2

A: ∫02π/2∫03π/2(xsiny - ycosx)dxdy in this this is double integration so in first we take y as constant…

Q: C. USING SIMPSONS 1/3RULE WHEN N=10 AND N=15 1 0 x√1-x² dx

A: using simpson 1/3 rd rule for n=10 ∫abf(x)…

Q: dy +. (x>0) tind the Soiution of the difperential equation, expressing 4explicitly as general 4…

A: First we comparing the given differential equation with dy/dx+Py=Q .and then find I.F. and then…

Q: dx Evaluate / 25+7x2 V7x + C -1 tan O None 1 V7x tan- 25 + C 25 1 tan V7x + C 7.

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