tions: Find and classify the isolated singularities of the following func- 1 sin(21) 2 2² +1 (e). cos- (f). sin 3z (d). (2²-1) cos Tz (z+2)(2z − 1)(z² + 1)² sin² z

Q: 13. To evaluate f 3cos*x-1 dx. the integrand can be transformed to 1-sin2x a. [(3cos x+ csc²x)dx b.…

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Q: 6. Compute dy where xy = dx cos(x+y)-y x cos(x+y)+y x cos(x+y)-y x-cos(x+y) cos(x+y)+y x+cos(x+y)…

A: The equation is given by xy = sinx+y To determine: The expression of dydx.

Q: 6. (a) Find the real and imaginary parts of: (i) sin z; (ii) cos z; (b) Find all the zeros of these…

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Q: 3i +2V2 - 5n -4i +6(1 +a T/4 [(3sec2 t)i - (5 + sin t)j - (6sec t tan t)k)]dt Find 0. 2 2-57T-4 3i +…

A: ∫sex2xdx =tanx+c∫(constant)dx=x+c∫sint dt =-cost +c∫sect tant dt =sect+c tanπ4=1cosπ4=12secπ4=2

Q: (a) Find all singularities of the function f(z): = sin cos(z-7) (z - 3T) (z+4i)²¹ and determine the…

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Q: 2. (sin 0-2r cos 0)dr + r cos 0(2r sin 0 + 1)d0 = 0

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Q: x sin 2x sin cos x 2 Prove that: dx = 2x- T

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Q: 2- Find the third derivative for əx3 for f(x,y) = sin) )+2 sin) sin)+3cos°) 8y3sinz s()+2sin()…

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Q: S-) Find the general soluhon of sin'x y"-(25inx.cos x)y'+ Ccosx+1)y = Sih? x given that y-sihx and…

A: Please check step 2 for solution

Q: Find g'(0) if g(0) = cos 0 sin 0. [A] cos²0 [B] cos²0 + 1 [C] cos²0 sin²0 - - [D] sin²0 [E] sin²0 +…

A: As we know that; The Product rule: f·g'=f'·g+f·g' Use the common derivatives.…

Q: prove the following identities: cos² (y) - sin² (y) 1 - tan² (y) = cos² (y).

A: according to bartleby guide line we do only first part of multiple questions prove…

Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3…

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Q: My friend told me that negative exponents "sometimes" inverse the fraction (i.e  X-2 +2 / 5 = 5/ x-2…

A: A negative exponent is solved by taking the multiplicative inverse of the base raise to the positive…

Q: a) _*? (1-x²)Z x+3 b) S- x2+2x+5 c) Find the value of sin(tan-1- sec-d) dx d) S x² Vx2+1 e) S Vx2+2x…

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Q: The values of C₁and C₂ so that y(x) = C₁ sin x + C₂ cos x satisfies the following conditions; y(0) =…

A: Here we have to find the value of c1 and c2 using given conditions.

Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: - Find the extreme value/s of f(x) = 4 sin² x cos 2x on (37 3π 5π 22

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

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Q: Consider (D² +1)y = sin²x_ Using variation of parameters, what is the form of y ,? А y =f cos x + g…

A: As per guideline we have to solve one question Please repost other question again

Q: ) Find all singularities of the function f(z) = sin cos(z-7) (z-37) (z+4i)²¹ and determine the…

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Q: x + y3 -1 Еxample If u = tan prove that x- y ôu ди (i) x. + y. sin 2u

A: # we are entitled to solve one question at a time , please resubmit the other if you wish to get it…

Q: sin(T cos x) lim 2 .2

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Q: ind and classify the Singularities of the function Z f(z) = @= (2-1) Sin the ZeroS -

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Q: Classify the zeroes (according to order) and isolated singularities of (2² - 1)e¹/² cos (TZ) (z + 2)…

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