EX:- Find the inverse F.T. of F(W) = |n|2+jw/. J Sols du F(W) 2 + jw *j jd FCW) = = dw 2+jw ƒ [j+=+=+Fcw)} = f[ = = = } ⇒ t f(t) = = f(t) 2t 2 a+jw + >0 -2t e

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A: We use substitution method to solve these integration

Q: 221. y = y = (3x² + 1)³ 223. y = y = ($+7) 772 SHALL NO 225. y = сsс(лx + 1) 227. y = -6sin ³x -3

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Q: Consider a function f: R? → R°, the derivative of f isa O 3 x 3 matrix O 3 x 2 matrix O 2 x 3 matrix…

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Q: Let C(x) = U{E CX: E is connected and x E E}. Show that C(x) is connected and that for all x, y EX…

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Q: Q6: Find the inverse F.T of the: e-j2w F(w) : (1+ jw) %3D Ans. f(t) = e-(t-2) u(t) H(@) = %3D (4 +…

A: Given  Fω=e-2jω1+jω It is known that Fe-tut=11+jω Therefore, using shifting property,  Inverse…

Q: 1. Find the following for the function f(x, y) = 3x³y² - 5x + 26y - 9.

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Q: Compute divF and curlF for F = -r°(y – 2)i – (2² + y^)j+()k. 422

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Q: of and ду of For the function f(x,y) = In (x+ 3y), find

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Q: 3. (b) Consider the function f(x, y) = a(x² + y²) + xy + 1 for some real number a. Find Vf. Find fxx…

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Q: Q7. Check if the following functions are Orthogonal or not? fi(x) = x°, f2(x) = x² + 1 [-1, 1] on…

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Q: Evaluate f (tcos² ti+1/tj+sec² tk) dt

A: To solve the following

Q: 2) Differentiate and simplify: f(t) = 2et e2t+ 1

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Q: Compute fFdr, where F(x, y) = (5+27x², 2xy) and C is a line segment from (0, 0) to (1,2). (Use…

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Q: dz 2 = -ry", where r = st“ and y = –st". Compute – as a function of s and t only evaluate this when…

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Q: if z=x+jy, then  check whether the function f(z)=1/1+z2 is an entire function .state the reasons

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Q: z) = (x2 + then (a + E

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Q: Find fx and fy for f(x, y) = (1 - 2x + y)ex+2y Select one: a. None of these b. fx = c. fx (2 + x -…

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Q: If Sc F · dr = Sc(x + 4y?) dæ + (x²y) dy, what is F?

A: Given ∫F→dr→=∫x+4y2dx+x2ydy

Q: Find the function r that satifies the following condition. r'(t)=(3t2,4t3,2t); r(1)=(-2,-5,-9)…

A: Given,          r't= 3t2 , 4t3 , 2t  , r1=-2,-5,-9

Q: Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) =…

A: Value of the above ques is

Q: Q7. Check if the following functions are Orthogonal or not? fi(x) = x* , f2(x) = x² + 1 (-1, 1] %3D…

A: Two functions, f1 and f2 are said to be orthogonal if <f1,f2>=0 over the common domain of the…

Q: Find the standard factorization of the entire function f(z) = cosyz

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Q: 2-2x find (fif) G) to use f Cx) = x

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Q: Find f if Vf = 10xy i + (5x² + 20y³) j f =

A: We have to find the function .

Q: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

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