Q. Fosm a Paitial Digferential puation constoht Methad q elimination of elimnalan f Arbltiay Con Z=1

Q: 2. Golve the pollowing uaing methods for non- exad ea vations, Jintar eouaton or Bernonlli's es…

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Q: Assuming that two Customers, A and B, at a lawyer's are due.to ot. arrive Office during the same…

A: We will be using geometrical probability for this problem. Let x denote the time spent after 10:00…

Q: "I INAICATE If THtE fOLLUWINh SRRZES ConveilCE OR DeveRしe。エ0ENTICY Tésrs Uszo. TESTS HT in (4nt -n)…

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Q: ди ди ди for u = az Find p-q if p= x+ y+ z ,q = x + y + z ,r = = (V3,2,1). and ax' əy 9-r x + y - z…

A: Q3. Given that                                            u=p-qq-rp=x+y+zq=x+y+zr=x+y-zPoint, (x, y,…

Q: Let C: |z-il=3 and I = $. , dz. Then e 3z z2 |= 6ti |=0 |= 8Ti |= 4Tti None of these

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Q: dt (e2t + 8et + 7)ā et+4 a) 9ezt +8et+7 +C b) In(e2t + 8et + 7) + c 2 c) 5Ve2t+8e*+7 +c e4t d)…

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Q: Given, f(x, y, z) = xln(x?y)+ x*y – e a2. Compute fa, f, fry, fayz-

A: If f(x,y,z) is a multivariable function, then the variables x,y, and z are called the input of the…

Q: The different loul equaticn 5. %3D can be wntten in He torw n He tor m MX, y)dn t N(x,4) dy =0 Find…

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Q: Complete the proof that ZYXZ SUT. P Q R. U W Y

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Q: Give an e xam Ple of (T, m') ameasurable SPa ce F; x → T {E & CX : fCE) ET3 m is not

A: Given, Τ, m a mesurable space fi:X→Τ , m=E⊆X: f(E)∈Τm is not a σ-algebra on X.

Q: 1 Evaluate J JA Totu2)2 dxdy, where A is determined by the conditions 1< x² + y? < 2.

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Q: And Dean d red exed deep, thre taprel of fingle prestadee Punc Sutagvelr ave alrily Knen fo ou. T…

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Q: 4 - If w = x + 2y + z? , x =, y= r2 + In(s) , and z = 2r aw find at the point (r, s) = (-8,4). as…

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Q: 8. Given: OPQRS; PX bisects 2QPR; RY bisects 2 SRP. Prove: RYPX is a O. S R Y

A: Given that, in the parallelogram PQRS: PX bisects &lt;QPR. RY bisects &lt;SRP. Now in parallelogram…

Q: Suppose a certain population of bats can be modeled by the DE 3 y = ry? (1 M - y(0) In(7) where r =…

A: concept: If solution curve is y = f(x), then for point of inflection double derivative of given…

Q: F ind the oua gohenegion Aounded ky メ=y,メ=13-が 2 x=18-y (0,9) てっ (,) Une borizontal ilement to firid…

A: The area of the region can be calculated using the formula , where is the curve of the first…

Q: dz If z(x, y) = x²y, æ = 4, and y = u³ v², find du

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Q: O The Vestical asympkote of the Ceerve XyAny'=0 3 @ y=} 6) Yo0 @ x=0 @ none of these

A: Vertical asymptote to the given curve

Q: 2uppore that tuo - dimensional, contiruous Mandom uariable (x,4) fa's yont" P•d.«b. gien by : ,…

A: Joint Probability Distribution: Let X and Y be two continuous random variables defined over the…

Q: 2. Suppene F=Q . L the set 4 2 3 4 lnianly ? why any o? nhar happeno is F=Zs ? nidependent so? rhar

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Q: If f = xi+ yj+ zk,1Fl =r,and n =, then show that grad (E) == %3D

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Q: iP fca)ex+s and gixjex?-3- find the folllowiny D Rc fext

A: a)         f(f(x))=f(x+5)           =x+5+5           =x+10

Q: 10. Given: YX = ZX WX bisects YXZ Prove: AWYX AWZX Statements Reasons

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Q: 2. Ostain the genval folu tion my = nxydx a. b. (6x* + y') = ry y' c. xy = Y( x² + sy') y' %3D

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Q: %3D Hads findl the unib nomel and the binomd veitor ,F (H)= CamScanner Ligió ä> gus

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Q: Determine Dariuior souHon 2y"+ Sy't 3y •0 : y(O) = 3 , y'C6) •z

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Q: Show the following differontial quahion is hamegenous and Solve it: X*dy +C y-xy) dx

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Q: Which condition would prove AJKL AXYZ? K Y 7. 56 7. O A. JK XY %3D B. JL XZ 8. C. KL YZ 8. O D. JL…

A: The given sides are, KL=56  YZ=7

Q: B. Vevi fy if a solu fion to the indicated differen fál eguat- the guen relatun Cfunchun) is )y=…

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: 2. Ostain the geweval folu fion a. my = nxydx b. (@ x*+y') = {ry y' c. xy = Y(x* + sy) y' %3D

A: Given differential equation is as  my2=nxydx/dy  Note : without introduction of dy whcih cant…

Q: Q/ If the joint p.d.fof X and Y as f(x,y) = }*y (cx?y ,x2sys1 ,0. W find the value of c and P(x 2…

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Q: Given y = Va In æ , what is dy dr In z+2 In z+y7 dy dr dy dr In z-2 dy In z-I dr ||

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Q: hnd the linear apprakimation ot x:0 to t6-x Weite ny.Ax-b answer in

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Q: Use Shapiro-Wilks and a = 0.05 for the test and show all parts. * %3D Но: (а) На: (b) F and PValue…

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Q: O The madices of cervadere af r= éat any poind Y, is (@) r?VTt (b) rvite? (C) Vitaž (d)

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Q: Q.1: lel I 1,2,3]. Ts Prove that Tz and T3 Gre topologi es for X Ta is topolagy far y Ti is nat G…

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Q: given funchion is Re(z) The Tf z to frey =S if z=0

A: Given function , f(x)=Re(Ζ)1-|Ζ|    Ζ≠0 0               Ζ=0 So given function is continuous at Z=0…

Q: Let w = 4x? + y? + z? x = psinpcose y= psinpstno z = pcoso Find dw dw dw de ee de

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Q: f(z) = z is discontinuous in C ulgn O İhi O

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Q: az az Q1/ a. Find and if z= (x² + y²) where x =r+ e*and ar as y=Ins

A: Solution: The objective is to find the partial derivatives of the given equation

Q: a the diagram, PU||QT, Ì = 42°, RQS = 82°, = v, UPT =r and QPT = x+40°. Prove that PT|QS. %3D P…

A: Given: PU||QT Concept: Pair of interior angles on the same side of the transversal are supplementary

Q: If W= W[y,, y2.Y3] where y1 , y2 , y3 are twice diffferentiable, W" =W. Select one: O True O False…

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Q: BeR NOULLI 's EQUOTION (2yーX)d水+ラ×ydy:o ソ+PCx)yq(x) yh XrlwDepenとn 3 y= Depen Dest

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Q: If C is given by x(t)=t,y(t)=t,0sts1, then S. | t?dt. xyds = Select one: True False

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Q: Hew: If Vi=Ai-j+SKand Va =4i+2j+4k; find value ofFAt so thatthelengthof Projectionof Vonta vz…

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Q: 4 - If w = x+ 2y + z? , x= , y =r2 + In(s) , and y = r2 + In(s) , and z = 2r aw find at the point…

A: Using chain rule the given question has been solved in step 2.

Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.

Q: Given: ZYLF = ZFRY, RFY AFY Prove: AFRY= AFLY Y L State ment Reason 1. ZYLF 4FRY 2. ZRFY = AFY 3. FY…

A: We have to find reasons

Q: Evculucte the ntegre ree)dt where re =secttleH, tine TNt C 2

A: The given function is

Q: 2)If X is exponentiol with porameter A ond Y is expom with parame ter B, ond X &Y are inde pent,find…

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