n/2 cos x esinx dx=? A) 1-e В -e с) e-1

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A: Consider the given integral. ∫sin5x dx Rewrite the integral. ∫sin5x dx=∫sin4x·sinx dx…

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A: In this question, we need to find the integral.

Q: Determine the value of f(z)=e*cos y+ ie*sin y at z = In 4+ Ti/6.

A: For a complex number, z=x+iy , x is the real part and y is the imaginary part .

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

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A: We can find the answer as below.

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Q: + b¬ + cx = 0 dt lution given by: - (A sin ßx + B cos ß.

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A: With the help of Residue we can prove given result:

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Q: (x cos + y sin?)y – (vsin? -x cos?)* х — х COS = 0 Ans: xy cos = c (Lucknow, 1997; Kanpur, 1996)

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Q: (c) / cos o sin do dr (a) / (b) du 5-3r (1 – e")2 sec? 0 tan 0 de (e) (r² + 1)(r³ + 3r)* dx (1)

A: x =∫dx5-3x Let 5-3x = U ⇒-3dx=du = dx =-1/3 du   So,  I = ∫1/u   (-1/3 du) = -1/3 ln u+c = -1/3 ln…

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A: Answer and explanation is given below

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A: It is given that

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Q: (a) L{t+ sin 4t – e cosh nt} -

A: As per our guidelines, we are supposed to solve only first question.

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A: To solve this question take different values of n and calculate LHS and RHS separately.     if…

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A: Kindly note that there is a misprint in first integration limit .That should be 2 pi. So I have…

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Q: Solve for sin(z) cos(z) — sin(z) = 0, when 0 ≤ ≤ ≤ T. z a) x = 0, π, F. 5 O b) x = 0, п O c) x =…

A: Topic:- trigonometry

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Q: If y= cot"+ tan-1x?), then dy dx x2 Select one: 2х + 1+x*' 1-x4 2x O a. 2x O b. 1+x' 1+x? 2x Oc. 2x…

A: All given options are wrong. See the attachment

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Q: A certain substitution gives S sin*x)cos"(x)dx = S (u²-u*)du .what is n?

A: For substitution- Balancing the above equation, we can solve it as follows-

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A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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A: