- Emluste ihe given limt ké", ut, 177 2. Compute 1he dovivadv'e A she given vactor hu. F()- くl。()tう4) eueluate the given Intagral 3 - Sr) whore Lt) -t- 2t ジ+ Co(36)に It

Q: Let Ms, 0 = Rus, (), Ms. 0), where F, u, and v are differentiable, and the following applies. u(6,…

A:

Q: Suppose f:R→IR is a diffexetiuble function which satısfies flo) = 0 . We wort to shouw f': IR → IR…

A: We have to do implicit differentiation.

Q: sin' y 10. lim y→x 1+cosy

A:

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

A:

Q: -을 x e [T, 3 J Sinx =

A:

Q: Let /- a 8 ddydx Our aim is to write an equrvalent triple integral in spherical coordinates…

A:

Q: Given the graphs of f(x), f'tx)and frx) determine x-coordinates of the points O 8, c,'D, E O show…

A:

Q: Find Da fx,g,2) @ (2,-10) the unit wechr n the direction A ū para llel fx vecfr <-1,4,2 ahare…

A: We will find out the required value.

Q: Find the value of the Conj uction g(+) ifya know that w(f.g)=3e" and fCo=et (Wronskain)

A: We will find out the required value of g(t).

Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

A:

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: let Po)- tar'c) + tant (L). show that Plx)=C,where cis a constant and then Aind C

A:

Q: which equation has al siope of 2 and contains (-1,-1)? a y-1 = 2 lx -) c) X -1 = 2ly-1)

A:

Q: Hoist meihanism with a colera tion finu dis Plucement *こV1+o.256 ;PVニomis Sz3m for もこos and…

A:

Q: 33) In quadrilateral RSTU, Es I ST and ŪT I diasgned If RS =6,ST = 8, and 12U = 15, find UT %3D

A: We can easily solve this problem by using Pythagoras Theorem in both the triangles (one by one).

Q: As I askes you in the last quation about the new region but I dont understand about some step as I…

A: We are asked to find the limits for y

Q: < sin!!), w5"1)? aiong.seni-circle. 4) Work done by o trom tJ5, 1) to' (-3,-1) t radius 2 · 个。 3+1…

A:

Q: 7) Evaluate Staide Ja Faldy 76) 2b) Jeus 9x sin 5x dx

A:

Q: 6y f) limy0 sin 2y

A:

Q: 子6)= cosz- Ga82-1., XE Co, 2T].

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 19) fiud eq uilibrium Point for the demond arol Supplie fumetion of Dq = - 1.259+ 475 and S) =…

A: Given D(q) = -1. 25q + 475 S(q) = -1. 125q + 266 For Equilibrium, D(q) = S(q)  0.125q = 209 q = 1672

Q: Prove that : <(tan"e) - Ve +1 2e 2 +. Ve? +1 tan

A:

Q: 1-) L [ 2 sin ½ t cas ½ t) {

A:

Q: 2) al X,X2 =) y = Xi~ ? ,-,Xn ~lid exporen tíal ( 100 b) Xq, X2,--- Xn~ iid N(44i44)= ビ- ~? i=1 %3D…

A: Solution : a) Given : xi  ~ exp ( 44100 )   ; i = 1,2,3,...,n ∴ θ = 0.44     Y    = ∑1n Xi It is…

Q: 12) The value of f, g,f,and g! are given in the table below live f (x) 3. -3 3 6 -2 -1 2. A) Eind h…

A:

Q: Prove that x² = 13 (1²) + 1) = (xin(e))) ১0 sin(0)

A: Given  x=rsinθ cosϕy=rsinθsinϕz=rcosθ To prove :∇2=1r2∂∂rr2∂∂r+1r2sinθ∂∂θsinθ∂∂θ+1r2sin2ϕ∂2∂ϕ2

Q: Hiwe d X 3 2) Sin'x cosx dx

A:

Q: show that f in Vienann and findit Limibs 2. 0 FC)= X 2) fCX) = -X? iXE [011] XEE-li0] %3D %3D

A: (1) fx=x2 , x∈-1,0 ∫abfxdx=∆xfx0+fx1+fx2+......+fxn-1 Where ∆x=b-an we have that a=-1,b=0,n=4 ∆x=14…

Q: Let G = (a, b | a² = b4 = e, ab = b³a). a. Express a'b’abab³ in the form b'a', where 0 < is1 and…

A:

Q: Hnd the generalsolutm to y" f4y'+13y =O Ganerat Soluhon:

A:

Q: (8) Let a and b be reel mumbers such that a>o and bo and beD is not enough to gire a uniform formula…

A: No option is correct. Correct answer will be: - arctan(b/a)

Q: Hw4 Prove if x;-→x then if xj ->x Hw4| Prove and HoS Prove if x; →× y;→y > X

A:

Q: Find the dircetiond Derevitive ef the Fouctiom 19(x2y)= Xye? at pl68, in the direchen oF Ol0,Og0)…

A:

Q: Vee the definition of the downtie! Find filx) then find fil-2), f'(0), and fi(3) 12 - X 3 b.) f(x) =…

A:

Q: Reduction to sep: 6) xy's x+y Reduction to lom: ?) y'ty=-xy

A: