Q1. Find the Fourier integral of the given function and discuss it at the discontinuity points 1-x'. (sin x-x cos x)cos dx f(x) = 1o. and then find

Q: The y - cos X 3 2 =2y %3D

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Q: Use the intermediate Value Theorem to show that between x = 0 and x = 1, the function f(x) = 3 sinh…

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Q: Find the x values of all the horizontal tangents to the function f(x) = cos.x + /3 sinx on the…

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Q: . Determine the derivative of the following complex functions: f(z) = (z³ + 3z²)³at z = 2i b. Item…

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Q: 3. Show that the complex function f(z)= cscz =1/ sinz satisfies the Cauchy-Riemann condition. Find…

A: The given function is fz=cscz=1sinz. A function fz=ux,y+ivx,y, satisfies Cauchy Riemann equations…

Q: 2.) Compute for the derivative (DO NOT USE THE DEFINITION) of A. 2x3 y = tanh sin x2

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Q: 4x Let F be the function defined by F(x) = cos(t?) dt. Find an expression for 3. F'(x).

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Q: Find r'(t). cos 4 cos³(t)i + 2 sin³ (t)j + k r(t) = 4

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Q: Find the intercepts and points of inflection for function y = sin(x) - 1/18sin(3x) over the interval…

A: Given that y = sinx - (1/18) sin3x ;(0<=x<=2π). We find intercept point  and point of…

Q: Find the derivative y = √√x S 3t cos (16) dt 0 A. 3 cos (x³) -3√√x sin (x³) OB. 3√√x cos (x³) OC.…

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Q: d Find the derivative e" + sin ax] dx e" – a cos (ax) e" + a sin (ax) e" + a cos (ax) e" + sin (ax)

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Q: (cos x+xcost)dt +(sint – t sin x)dx = 0 Ans. t cos x+x sint = c

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Q: Q11] Using the properties of the FT, calculate the FT of the following functions: (a) x¡(1) = 5 + 3…

A: Let Fourier transform F is defined as Ff(t)=F(ω)=∫-∞∞f(t)e-iωtdt Solution a:…

Q: 1.y = 3x cos=-9sin 2y=2csc(1-3x) tan 2x 3.y=1-cot 2x

A: According to our guidelines we can solve first 3 questions please upload remaining…

Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y²; (4) y = x sinh 2x-cosh 2x (2) y =…

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Q: Q1 Find all the points of intersections of the curves r = 1+cose and r=1+sin0 r-1+ (0) r=1+cm(0)

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Q: (ii) Hence, by using Leibniz Rule for Differentiation Under the Integral Sign, compute the value of…

A: Leibniz Rule for Differentiation under integral sign:- ∂∂t∫atbtfx, tdx=∫atbt∂f∂tdx   + fbt, t∂bt∂t-…

Q: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

A: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

Q: Q4. Simplify the following expression: 3-5 x 39 Click on image to enlarge if needed 12 81 243 324

A: To evaluate :- 3-5 * 39

Q: Differentiate. f(0) = 0 cos(0) sin(0) f'(0) =

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Q: cos x . Use residues to evaluate I = -dx , (a>0). 2 2 x + a

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: a) Find the derivative of the following functions: i) f(x) = x Inx ii) f(x) = iii) f(x) = 1 4* iv)…

A: Solution:-

Q: sin Tt cos Tt dt

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