az over the contour C |z = 4.5 sin z (b) Сompute

Q: az Let z=xy-e'siny, x-uv, y=7Vu?+v?. Then at (u,v)=(7T,0) is du

A: Given that z=xy-exsiny, x=uv, y=7u2+v2find ∂z∂u at u,v=7π,0

Q: Find the area bounded by the trigonometric curves Ⓒ 3.450 square units O 2.828 square units O 1.414…

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Q: | cos r In(sin z)dr

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Q: Find the area inside the oval limaçon r=7+3 sin 0. The area inside the oval limaçon is (Tuno uor…

A: we have to find the area.

Q: 3. Evaluate f S sin 0 dA, where R is the region in the first quadrant that is outside the circle r =…

A: Note: Hi! Thank you for your question. As per the honor code, we'll answer the first…

Q: O1) Prove that: [Answer only two du dx (A) - tanh u = dx 1-u du (B) u-1 = sec u+C >1 2. (C) cscx =…

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Q: +tlnt +tInt If x=sin and Jy= = cos prove that y"=c constant +eco te'

A: Given: x=sint2+tlntt4+etcost and y=cost2+tlntt4+etcost

Q: 2. § F•dï , where F = (ycos(x) – xy sin(x), xy + xcos(x)) and C is the C triangle from (0,0) to…

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Q: ind the length of the curve x cos(t) + In(tan(;t)), y = sin(t), /4<t< 3n/4. %3D ength =

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Q: : Find the length of the cardioid r = 1 + cos 0 0 < 0 <T

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Q: Q/ Let w=F(Xi)) and X= V cose, y=Y Sine Show that (w 2 %3D Y

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Q: šiven r,(t)=sin5ti +cos 5tj+\t+2k and r,(t)=5ti+2k , calculate "[r, (0) •r, (0)]. dt

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Q: Find the surface area of the figure generated by revolving x = 6 cos(t), y = 6 sin(t) where 0 <ts…

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Q: If the area enclosed by the curve x = 4 cos³ t and y = 4 sin t (wheret e R) is A then what is A?

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Q: 2. for, (x+y)X = tan-14x + TT* + dx dy a)- Find InIny

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Q: 5 sin t (where t e R) is A, then what is A? %3D If the area enclosed by the curve x = 5 cos³ t and y…

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Q: Find the length of one arch of the cycloid 2(t – sin(t)), y = 2(1 – cos(t). х

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Q: Use the equations to find dz/əx and əz/ðy. хуz %3D sin(x +у + 2) əz ax əz ду II II

A: We have to find partial derivative.

Q: B) Find (블)x,()'(일), Prthe Pte 2- w= x?+y-2 +sin z 3. w:x+y+2", ysinz+ z sin so

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

Q: OSolve where y (0, t) = 0 = y (5, t) and y (x, 0) = 10 sin 4Tt x.

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Q: The area A of a triangle with sides of lengths a and benclosing an angle of measure u isA = 1/2 ab…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Let z x = 2 cos u, and y 3 sin v. Find dz in terms of u and v. %3D Provide your answer below:

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Q: i? た(uパ) : tan ニ u= X Cosy V= X siny JR Determine Jf to 24 つメ

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Q: Use Green's Theorem to evaluate |(3ye2* – 7 sin? (3x* )) dx +(5x* +2x’y² +8e*-1y+2 where C is the…

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Q: ind the arclength of the curve over the given interval. (a) r = 1 + sin θ, 0 ≤ θ ≤ 2π (b) r = 4 sin…

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Q: 29. Area = %3D EF, FH, and HI are tangents. EI is a diameter. E 2ft.F J 8ft. H

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Q: Is AB a tangent to OC? 29 C 10 A Your answer: nt o Yes, AB is a tangent. No, AB is not a tangent.…

A: We have to check

Q: If the area enclosed by the curve z = 5 cos t and y = 5 sin' t (where te R) is A- then what is A?…

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Q: Find the length of one arch of the cycloid a = 9(t – sin(t)), y = 9(1 – cos(t)). %3D

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Q: a. Show that If z=x+ iy where y 1 b. Evaluate: cosh (iz) + sin (2)

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Q: Find all intersection points between r = –sin 0 and r = v = V3 cos e.

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Q: The coefficient of sin(2x) t F(x) =(cos() is Blank 1 (use fraction form not decimal no space) in the…

A: To determine the coefficient of sin2x in the antiderivative of Fx=cosx26.

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3…

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Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3…

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Q: (a) y = arctan (b) y = v1-x' arsin(x)

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Q: . (2+a?)2 dx = By using the residue theorem, prove that 1 dx where x E R, and a > 0 is a parameter.

A: Using the residue theorem we have to prove..

Q: arctan dA , where R = {(x,y)|1< x² + y? < 8, 0<ysx} %3D

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Q: f So Fdr F = cos(x+z)i + sin(y+z)j + sin(z + x) k r = ti - 3tj + tk

A: The Laplace transform, named after its inventor Pierre-Simon Laplace, is an integral transform that…

Q: Find Vf at the given point. f(x,y,z) = ex+Y sin z+ (y + 1) cos "x, Vf i+ 0,0, (Type an exact answer,…

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Q: If zy + sin y + arctan(z) = then what is the value of at (1,0)? a)-1 b) 1 C) 0 d) -2 e) 2

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Q: y=In(sin z³) 18. a. 3z cot z³ b. z² cot z³ c. 3z² tan z³ d. 3z² cot z³

A: Here, the given function is: y=ln(sin x3) Note that, ddx(ln x)=1x , ddx(sin x)=cos x and…

Q: I sin(z) cos(z) da : Hint:

A: Given integration is, ∫xsin(x)cos(x)dx We know that, 2sin(x)cos(x)=sin(2x) Now, the integration…

Q: A particle is moving as given by the data below: v(t) = 6 sin(t) – 4 cos(t); s(0) = 0 s(t) = %3D

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Q: Find the distance traveled by a particle with position (х, у); Cos t, y = (cos t)², 0 < t < 4TT X =

A: To solve this we have to use two point distance formula

Q: The area of the region inside the circle r = 6 cos 0 and outside the cardioid r = 2(1 + cos), a > 0…

A: Given: the circle r =6 cos θ and the cardioid r=2(1+cosθ )

Q: a sin a + In v ) da + tan adv = 0 Cos a

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Q: dy let y = (z sin z)² then is da

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Evaluate F· dr C where F(х, у) %3D хуі + уј C:r(t) = 4 costi+ 4 sin t and 0 <t<.

A: Given that , Fx,y=xy , yrt=4cost , 4sint and 0≤t≤π2 Evaluate ∫CF.dr=?