52. If z = f (x, y), where x = r cos 0 and y = r sin 0, find a. Əz/Ər, b. дz/80, and c. d z/Ər d0.

Q: Given f(x,y,z) = sin (2xy) + 4xyz³. Find fzzx(3,3,3). Answer:

A: Solving the problem by doing partial derivative.

Q: a²f ô²f Ôy 1. If f(x,y)= e¯* sin y then find .2

A: Using differentiation ,

Q: O1) Prove that: [Answer only two du dx (A) - tanh u = dx 1-u du (B) u-1 = sec u+C >1 2. (C) cscx =…

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Q: e-i.dt = lim X+ 00 V TE 0, Select one: a. b. NOT C. 8, O d. 1 O e. 0

A: According to our guidelines we can answer only first question. In first question we use the concept…

Q: Find S y? sin y dy

A: Given,            ∫y2sinydy

Q: wo iR fen) a Sin Cnuw) find E(7) E(7) - ?

A: In this question, the concept of Z-transform is applied. Z-transform In its most basic form, the…

Q: 5. Find if y = sin(vT +1). dr %3D

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Q: Compule he an Curvc given aM byO x= and ye 3tcos(t) 'from DLtL engh ot M pacbmeter 3t Sin (t)

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Q: Given f(x, y, z) = 4 sin(x + y), find f, -3 -3 and f. -3 2

A: f(x,y,z)=4sin(x+y) we simply replace value of x , y and z

Q: :+B solle العنوان Anothe A. ∫ x2 sinxdx B.∫(x2 +1)inx dx C. fe* cosx dx [X+)) メー ۲/۱ T 江 M

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Q: f(t) = t² sin bt

A: The given function is ft=t2sin bt. Use the formula  Ltkf(t)=-1kdkdskL(f(t) Now since t has power 2,…

Q: Given f(x,y,z) = sin (5xy) + 3xyz3. Find fzzx(5,2,3). %3D zZx Answer:

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Q: OL. If w = f(u, v), u = cosx and v = sinx, show that: (30 Marks) %3D d?w dr v² fau + u?f- 2uvfuv -…

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Q: Finat edt roots of CTeetion? Sinz=D Complex Aumber 2l Sin z=i Sinh

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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: yd: 學 21 thes prove thot Sing stn 22 Sin yo= 8.

A: If         α=2π7 Claim:           sinα sin2α sin4α=-7   8;   Proof:      Let's start from L.H.S:…

Q: (b) 는(cosx)=-sinx (d) VI+ tan x 1+* Q1) Show that: (a) (1+x) =1+6x (e) (V): *- () %3D

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Q: Given f(x, y) = sin(x + y) where x = sºt5, y = 6s – 5t. Find

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Q: 26. Show that |sin z sinh2 y + sin2 x.

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