Use vector algebra to prove that the area enclosed by circle of radus r

Q: b) Express the area of the pool, A in terms of I and r. c) Hence, or otherwise show that A = -² +…

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Q: Sketch the triangle with vertices O, P = (0,7, 3) and Q = (7,4,0) and compute its area using cross…

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Q: show that the rectaugle that has mancimum Qree for given PerimeTer is e sequare. in

A: Consider the provided question, We need to prove that the rectangle that has maximum area for a…

Q: 2. Solve the following showing full and complete procedure a) Evaluate the integral either directly…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 2) usins Culcuulus for parametrre curres. Show trat the aren of a idis e of radius Ris siren by…

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Q: b) Evaluate the following integral by using the polar coordinates R where Ris the enclosed region by…

A: solve the double integration

Q: se integral to find the area of B.

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Q: Use Green'sTheorem to evaluate O ydx – xdy where C is the circle with center at the origin and…

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Q: 1) LIST A PAIR OF K'S THAT FIT THE DESCRIPTION a) CORRESPONDING *'S b) ALTERNATE INT/EXT &'S C) SAME…

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Q: 4) Let B be a sphere with radius a and center 0 and r be the radial dis- tance. Applying Green's…

A: Consider the provided question, Let B be a sphere with radius a and center 0 and r be the radial…

Q: в х3 - 4х (3,15) (0,0) 17 В) 33 C) 4 41 A) D) 3.

A: since area below x axis is negative therefore we need to take the absolute value of the area of the…

Q: D). Find the area region that lies inside both r = 2 sin and r = sin 0 + cos 0.

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Q: prove that the diameter of aset is equal to the diameter of its closure.

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Q: Q/Lx 5²= {(xX₂, X₁) ER² : x² + x² + x²³²-13 be centered in a ball (0,0,0) andradius 1 Prove that…

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Q: use iAverse matinx Xty tz Wty tz =3 カニれょメナ

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Q: the cente C is circ le to a of orgin Coordinates and vadius 2

A: I have solved using residues

Q: 3. Let U be the domain inside the square |x + y = 4 and outside the circle x² + y² = 1. Use Green's…

A: Given that the domain inside the square x+y=4 and outside the circle x2+y2=1.

Q: Use the Fundamental Theorem of Calculus to find the area under curve of c)= 6z 4 13 between I=14 and…

A: Given function: f(x)=6x+13 Definition: Fundamental theorem of calculus: It states that f is…

Q: Find the area between the curve y=2x+4x-6 and the x-axis from x =-2 to x= 3.

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Q: Find the area of shaded region frx)- メ+3 grx)= -x²_ 3 Alx) 3 gre a) 176 3 5) = 88 C) 44 3.

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Q: Evaluate the integral (secle).tan co)) do

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Q: (12,50 Puanlar) 3- Evaluate the integral 3x +2 dx. V5 - 22 a) – 2 arcsin V5a + 3/5- a? +C b)2…

A: Given: The integral is ∫3x+25-x2dx

Q: Evaluate [F.dr, where C is the circle x² + y² = 4 oriented counterclockwise and F = (y,-x). Set up…

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Q: Theorem 78 states that if the radius of a circle is r, its area is πr2. true or false

A: In the statement, it is asked if the area of circle is ∏r2

Q: Laplace stanajoarm obtain sthe foslousing also. Oue sthe Specify hoc:- ci'as= t (et coset-se-2t)ult)…

A: i) Let the given equation for Laplace transform be  x(t)=(e-t cos 2t - se-2t) u(t) + e2t u(-t) / 2…