ECR 9s a sordon Area cvol CE) =V0ICE) ean Yntegraole on E Sand 主 After thet desariptron. 1ntegroble on E and then Prove that

Q: A) S16 S cos (16r x) dx dy. Osxs 2 Os ys x* B) Find the area between the parabolas x = y -1 and x =…

A:

Q: 2. dx 9 +2 Giren: 1. Sketeh the regros Of mtegratron 2. Change the order of ntergratren 3. Eraluate…

A: Double integration

Q: Question 2 Calculate the area enclosed by r = 3 sin(3 0) for 0 <0<. 9л а) 8 3n b) O 2 c) 2 d) O 4 9n…

A: To find the area of the curve

Q: Find the area inside the cardioid r = 4 + sin∅ from ∅=0 to ∅= 2π.

A: The area inside the cardioid rθ is found out using the formula: A=12∫abrϕ2dϕ , a≤ϕ≤b Now, we have…

Q: Find 을 (VE+ 6e").

A: ddx(x+6ex)

Q: EX/find the arc lenyin of the Cardioid v=1+Cose (Sketch the reyion)

A:

Q: Question 1 Calculate the area enclosed by r = 5 cos(0) for 257 2 25л b) 4 75л 8 75л 4 25л VI VI

A: S

Q: The triangular region Ω with vertices (1, 1), (2, 0), and (2, 3).

A:

Q: The region inside the circle r = /2 sin 0 and inside the lemniscate r? = sin 20. Which of the…

A: here option (a) is true because on doing simplifying we get r=2sin^2theeta and limit will be o to…

Q: X= 6 The area enclosed by the curves Y= and y= 2x from x= 1 to x= e is 2) e +1 O 3) +1 O 4) 2-2

A: Given query is to find the area enclosed by the curves.

Q: Question 5 Find the area bounded by the given curves. y = 0.5x 2, y = -x ² +6

A:

Q: Find all general solutions of y'(t)=(t+1)(y(t)2-1). Leave the solution as the form y(t)= an…

A: Given data:     The given differential equation is: y’(t)=(t+1)(y(t)2-1).     The given differential…

Q: Qll. Compate fle desintive f the given Luuetion: fla)= -2sind -4cosa t10 %3D f' (a) = %3D

A: We can make it easier for you.

Q: O find the area betw pm the eurves tor the following OEXSTT FCX) =X, g)= TT-X, y= sin X

A: Integration is generally used to find area between the curves when the function value changes as per…

Q: Find. then divergence. and.cur.4.the followiny. vecter field: a.. F = Xej y.e.. %3D .F- ĕ siny i +č…

A: The general form of a vector-valued function in three dimensions is given by F⇀=F1i+F2j+F3k, where…

Q: 2. Evaluate. tham. fe lawing.integrals.after.r.cuening.the ereler.f.integratiom. a. siny 9…

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Q: 19. Find. thedivacgence.and.cuv.4 the followiny vecter. field: + y.ek. xe .+.y.e.k. b. Fs…

A:

Q: 1) Find the area under one arch of the cycloid x = 5(t – sin t), y = 5(1 – cos t). A) 7572 B) 50T C)…

A: Find the area under one arch of the cycloid x = 5(t-sin t), y = 5(1 - cos t).

Q: (B) 62 (E) 62 QUESTION 13 13. Suppose we have a tank that is an inverted triangular prism as shown…

A:

Q: 3- Find the area of regida common to the Car diaids and rzて |- Cose?

A:

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…

A:

Q: Question 3 1/2 arcsin(2 z) For the given definite integral dz, find an equivalent definite 4 a2…

A:

Q: We know that y dy? arctan (e*+1) so whats the value for dx 1 a) e2a+2 +1 1 Ob) els+1)* +1 Need This…

A:

Q: In this exercise you will prove Theorem 5.3. So consider triangle AABC. Let PE Int (ZABC) and Q &…

A: Given: consider triangle ABC , let P belongs to int(∠ABC) and Q belongs to int(∠ACB)