Use Ro ucne s Theorem to determine now zeros OI the given iunctions Ile 1n the given annulus: (a) f(z) = 2ª – 2z – 2 in 1/2 < |z| < 3/2 (b) f(z) = ze² – 1/4 in |2| < 2.

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Q: Find the arclength of y = 3x³/2 on 2 ≤ x ≤ 4

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Q: Solve the following differential equations: (D² – 4D + 4)y = x³e2x %3D -

A: Consider the given information: The given differential equation is, D2-4D+4y=x3e2x

Q: 3 Evaluate the integral de using the two-point Gaussian quadrature rule O -|4 1035 N/N N/W 끔

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Q: Find the arclength of y = 4x°/2 on 2 < x < 4 %3D

A: Given :  y=4x32     on  2≤x≤4   To Find : Arc length of y=4x32

Q: 63; Evaluate the întegral +3 dx + 6xy dy where Cay Curve Joininy (t, -) to (16, I),

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Q: Pls help ASAP

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Q: + dy-39 sin ax y co) y'o) =12

A: Laplace transferom for the differential equation

Q: Use the inversion theorem to show that roo sin(at) sin(bt) dt = 7 min{a, b}. 12

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Q: You found that the reduction formula of a certain integral is In = x"+2e2= - (n + 2) In-1 and that 1…

A: As per our guidelins we can solve only 1 question. The next question can be reposted.  Here we have…

Q: Find the arclength of y = 2a + 4 on 0 < a < 4

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Q: 78x Sinx d Show that it is Conv drichlet t. divergent by

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Q: %24 1. コト GIPTA Let y be delined implicitly by the following equati function ofXand 2 etz sim (TX2)…

A: The given equation is: exz - sin(πz) -yz =0

Q: Use a Riemann sum to find the area of the trapezoid bounded by the lines y = 0, x = 1, x = 2, and y…

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Q: Evaluate the tolowing integras using substitution: using OnAiderivat ves 1.

A: Note:   As per our company policy we should answer only one question each time, so please repost the…

Q: TRC Prove that CoshZ =Goshx Cosytrisinh X Siny

A: The given problem is to prove the following complex hyperbolic trigonometric identity.

Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

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Q: Let flis) =4x %3D a.) find f(x+h b) find fx th)-fs) C. find flxih-f d) find f'Gx)

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Q: Find the arclength of y = 2x - 1 on 0 ≤ x ≤ 4

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Q: Find the area S od the surface generated by revolving about the x-axis the graph of f in the given…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the length of L of the Curuc R Ct) = e2* cos (E) î +e?* sin (t) ĵ +ea* 1tsin (t) ĵ teat Ŕ over…

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Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: 6. Evaluate: dx. [Hint: check for discontinuities]

A: To Determine :-  Evaluate : ∫09 1x-13 dx.

Q: Find the arclength of y = 3x³/2 on 2 ≤ x ≤ 4

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Q: Find the x-coordinate of each point where the function f (x) arcsin (5 a - 2 x) has a horizontal…

A: For horizontal tangent, equate slope of tangent = 0 Slope of tangent = f'(x)

Q: ) Find the derivetine of the fnchiog h(x) = I sinhex-7x 4

A: h(x)=74sinh(2x)-7x2Differentiate w.r.t…

Q: Find the absolute max. function y= absolute min. for the V=z (18-x)2 in the inter val [o,u].

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Q: FIND: Minimal annihilator, L, of y = (x² − 2x + 1) cosx

A: To find the minimal annihilator of y = (x² 2x + 1)cos x, we need to find the polynomial differential…