Is it true that for cont. f So Si Axy)dydx = fS, Axy)dxdy| Justify your answer

Q: Use the Theorem of Pythagoras to find the length of the line segment y = 3xfrom (1,3) to (2,6), and…

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Q: 1.5 1.5 xyn (x+2) dydz (x-2)2 fAxedysa fuse trapezaidal Vule in(x-direction}] fuse simpsae Yule…

A: For the solution follow the next steps.

Q: # Dioeribe the range of fiz) =2z for the fire quadrant, Re z20,Imz>0.

A: Given: fz=2z2, Rez≥0, Imz>0 Let z=x+iy Then, x≥0, y>0 fz=2z2⇒fz=2x+iy2⇒fz=2x2-y2+2ixy

Q: The dv of sin-lx dx is dx. A) True B) False

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Q: ind an equation of tar y=snnc25-x²) (50) ngent lir

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Q: Find paromet ric aquation of Line L where to paiut A(Xmiya) is and

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Q: 4. §13.3. Q49. Consider function w=w(x, y, z). (a). Find Ow/dx. (b). Find Ow/ay. (c). Find əw/az. w…

A: Given function-We have to find the partial derivatives.

Q: If fCx) is bdd Junchion an f(x) dx = の-3 then 3. True or Fal se ?

A: Solution :- An odd function is defined such that f(−x)=−f(x)

Q: * H.W Let f:AC, 9:B D be two functiens sit flx) = 96) ha fug: AUB CUp VXEANB then defred by:. %3D…

A: SOLUTION- SolutionA Rlation R:X→Y, where X and Y are setsis called functions if each element of x…

Q: et u = e Sin P= sin sc Lind su using chain Rule

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Q: Show that the opelator Tilol defined by Y=19;)=Tx.-E] *=(h:)is Linear and bounded

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Q: HW If r(H)=6 sin zt ċ+ 6cas ztj + 5tk find T,Ñ, V, a and speed at t-2

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Q: Evaluate LSIT (*+y+z)dx dy dz . X-Z

A: Introduction :We have to solve given triple integration .

Q: √x 3 1+ x³ X 3 dx (Hint: Let u = x²

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Q: Find a function ƒ and a real number a such that 4 + / f(t) d : = x tan¬1 x. a.

A: Given that,  π4+∫axf(t)dt=xtan-1x We have to find the values of f and a.

Q: B)Is w = Zez analytical function or not?

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Q: Which of the following expressions are not valid? Why? (a) [ f* 1(x, y) dy dz [T (c) [[1(x, y) dy de…

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Q: x+Z Evaluate S(x + y + z)dx dy dz. X-Z

A: Triple integration

Q: For the function y = x² + 2x, the value of dy when *=3 and dx=0.1 js -0.15 A) 0.15 B) C) - 0.8 0.8…

A: We will find out the required value.

Q: . Explain how you woułd prove the following. Given: HY = LY; H F WH || LF Prove: AWHY = AFLY

A: Given that HY≅LY  and WH ∥LF We have to prove that △WHY≅△FLY   When a transversal line intersects…

Q: Find T N ¢B for the carve at the indlicated pont Carレe posnt r(t) = at

A: Given

Q: ery sinx If f(x, y, z) = 23 then af dy Select one: A. None of these answers ye"Y sinx В. 23 ye"Y…

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Q: Finel the Laplace Trans Form 21 Ans. F(s)= 2(1-e ") 11)

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Q: Exe Given FLt)= ti+ t²j show that the Cantinu

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Q: Show that u is s is mmomphie to F' Lt T:VaV (V is as abore let Tuct) zt u'Le) 2 the derivative im…

A: Let F=ℝ and V=a+bx2+cx4 :a,b,c∈ℝ . Show that V is isomorphic to F 3. Let T: V→V defined as follows,…

Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

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Q: dz The value of o (1+ z where C is the ?) i =1 is 2 contour z |

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Q: 01. If w f(u, v), u = cosx and v = sinx, show that: d'w dx2 = v? fuu + u? frv - 2uvfur - ufu - vf,

A: Given w=f(u,v), u=cos x and v=sin xso we see that dudx=-sin x =-v   and dvdx=cos x=u.By chain rule,…

Q: e, Find at the giren point on eauation Of the tangent live. to the corve. X=46",y=f'+|,(4,0)

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Q: 13 X = AB is is not A X 6 7 a tangent. B 11 A

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