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Q: let y= (x + sin(x)) Find gix), fcx) e deriv ative f(x) = so that y=(fog)(compute usin Chain Rule ニ

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A: Introduction: The Beta function is one of the most important improper integrals. It is defined as…

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A: Given;- fx=x2+sin x   Solution:- ⇒∫x2+sin x dx ⇒∫x2 dx+∫sin x dx ⇒x33-cos x ⇒x33-cos x+C…

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A: From the given problem; ∫xsec12xtan12xdx=uv-∫vdu    ....1   We know that; ∫secxtanxdx=secx+C

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Q: TEANUCOGl b) Given z = f (x – y, 2x – 2y, 3x – 3y). Show that - dz dz = 0. he

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A: We will evaluate the given integral as shown below by using trigonometric substitution

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Q: secytany In dy, the integrand is 4secy +9 4.secy + 9 A True B) False

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A: Given 2 curves:y1=x2+2x+2y2=2x+11Upon graphing these 2 curves we have the intersection at -3 and 3…

Q: 12. Evaluate the indefinite integral f sec3 0 tan e de. (u-substitution)

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Q: An aquarium 5 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of…

A: Given: Length of aquarium: 5m long, 1m wide and 1m deep g = 9.8 m/s^2 density of water, ρ=1000 kgm3…

Q: ди dt 00 dx2 ди u(0, г) — 0 %3DИо, %3D -h (u (1,1) — ио), һ>0, t>0 and u(x, 0) %3D f(x), 0<x<1. dx

A: We are given the following boundary value problem. k∂2u∂x2=∂u∂t,        0&lt;x&lt;1, t&gt;0u0,t=0,…

Q: DTIRIS differentiable on I and ge)= Por hGN and JeR what is CJaf2 TP P R isdifferentiable on I and…

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Q: Partial Derivaive 1)Calcule as derivadas parciais de primeira -ordem da função f(x.y)="² .cos(xy) +…

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Q: Evaluate the integral. dx V16-x - 33 dx (Type an integer or a simplified fraction.) (Туре %3D V 16 -…

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Q: 2. Using contour integration and the residue theorem show that: dx x4+1 2/2

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Q: herical ballo. easing at the ameter of th

A: Let the radius of the spherical balloon be r. Then its volume (V) will be: V = (4/3) pi r3…

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Q: fen) = 3] cn+4) Find the interrals of concavity and the anfieeion pornts of fen)

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Q: A secant reduction formula Prove that for positive integers n + 1, sec"-2x tan x sec" x dx = n + n…

A: Solution:- We have to prove that  ∫secnxdx=secn-2x tanxn-1+n-2n-1∫secn-1xdx taking Left hand side...

Q: Eváluaté thé đefinite integral •2 | (14e + 10x)da using Part 1 of the Fundamental Theorem of…

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Q: StokesTheorem.Evaluate∫ F·dr,whereF=arctanx/yi+ln√x2+y2j+k and C is the boundary of the triangle…

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Q: Evelvale the integral using the indicated frigononctie Substhioan -10 dar, x?Wx? - 9

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Q: yunction 912) di Continuous en a Contour c oy dength l, and A M be 1412) em C, then the dyppor hound…

A: Suppose that w (t) be a complex function that is piecewise continuous on the interval . Then .  Let…

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Q: Line integral (Calculus 3) #1

A: As per the company policy i can answer only first question for you,more than that leads me towards…