Prove:- The defect of a triangle in (RG) is an area function.

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: In Exercises 1-10, draw a graph of the signed area represented by theintegral and compute it using…

A: Consider the given integral I=∫0525-x2dx

Q: Find the area "under" v7(t) on the interval [6,9]. What does your answer tell us about Mr. Goza?

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Q: Find the area enclosed by the following curves: b). у %3DIn x3, у %3D In x, x %3D е

A: Given, y=ln x3 ,y =lnx, x=e

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 2), (1,6) A =

A: Given, The vertices of the triangle are (0, 0), (3, 2), (1,6)Equation of the line joining (0,0) and…

Q: 1.Find the area of RQT

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Q: ALMN, S is the centroid. If SQ=22 find LS.

A: Here we have been given the measurement of SQ = 22 and S is the centroid.

Q: Compute the area that is inside r = 3 + 3 sin and outside r = 2.

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Q: 2. Consider a circle centered at the origin with radius r. Use trigonometric functions and…

A: Explanation of the answer is as follows

Q: Question 2

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Q: Find the area of the region. Interior of r2 = 3 sin(20)

A: Given

Q: Find the area that is shared by both cardioids r = 1 - cos(theta) and r = 1 + cos(theta).

A: Consider the region that is shared by both cardioids r = 1 - cos(theta) and r = 1 + cos(theta):

Q: Find the area enclosed by Mhe curve. Vse Wallis' Formula given

A: Wallis formula

Q: 2- Find the area f the negion cut from the trst quadrant by the regson r= l+ Sino?

A: From the given problem:   r=1+sinθ   Given first quadrant it means:   θ→0 to π2r→0 to 1+sinθ   Now…

Q: Calculate the area outside the r=8sinθ curve and inside the r=4+4sinθ curve. Area=?

A: Calculate the area outside the r=8sinθ curve and inside the r=4+4sinθ curve.

Q: ind the

A: Here we have to find the area of the bounded region by the curves  y2=4a(y-x) .....................…

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (6, 1), (3,…

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Q: An area bounded byy = 0, x = 0, and y = e*, is revolved about the x-axis. 7. CD method is…

A: Yes it is true we can use CD method here for area revolution and find volume generated due to area…

Q: Determine the area of the region between the loops of the limacon r =1/2+ cos θ

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Q: Find the area under one arch of the trochoid и — 60 — 4 sin(0), у — 6 — 4 сos(0). - - Area =

A: To find the area under one arch of the trochoid. x=6θ−4sinθy=6−4cosθ

Q: We have to find area right to z= 2.54

A: Given:  It is required to find the area right to z= 2.54.

Q: The fiqure Sshows a circular are of length Cored of length d", both substended 1" and Va" all by a…

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Q: Find the area endosed by Mhe given curve, Use Wallis' Formula

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Q: Use the boxing method as suggested in Exercise 33, to find the area of ARST, with R(-2, 4), S(-1, –…

A: Given: To find the area of ∆RST,  Using the boxing method      with  R(-2,…

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (6, 2), (3,8) A =

A: Given:- Vertices of triangle (0,0),(6,2),(3,8) to find the area of the triangle  Equation of line…

Q: Find the area pebal r=4 sin C30) of one

A: Let's now plot the graph:

Q: Find the area bounded by the curve (p^2)=16cosθ

A: We have to find the area.

Q: Find the area enclosed by one loop of the curve: r = 3sin(40)

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

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Q: ind the exact area of the surface obtained bY rotaing -- 2)2, 2sys3

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Q: 4 Let A, B, and C be three points and prove that the area of the iangle AABC is given by 1 Area…

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Q: (b) Show that the area bounded by y? = 4ax %3D and x? = 4ay is 10 a2. 3

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Q: find the area bounded by r = 9 + 2 cos(θ)

A: Here given the equation of cardioid as Then the area inside the cardioid is defined as

Q: find the area of the circle r=a by integration

A: The diagrammatic representation is,

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (5, 1), (3, 8) A =

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Q: show that the area An of an n-sided regular polygon in a circle of radius r is An = ((n.r.r)/2)…

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Q: Find the area of the region R that lies inside the cardioid r (1+ cose) and outside the cirele -1

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Q: In AMPQ, QR IMP. If MQ = 10, RP = 4, and MR = 8, find the area of AMPQ.

A: Given that In ∆MPQ, QR is perpendicular to MP and also we have MQ=10,RP=4 and MR=8.Our Aim is to…

Q: Find the measure of ZD AC.

A: Given :segment ED and segment Ec are tangents to circl A m∠DBC=57°To find :m∠DAC

Q: Let a be the number such that the area to the right of z=a is 0.21  Without using tables or…

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

Q: Derive the De Moivre's Theorem?

A: The De Moivre’s formula or De Moivre’s Theorem states as: cosx+isinxn=cosnx+isinnxwhere i is the…

Q: Hiw, prove That, The areao f enclosed triangle in figure equa l 121" 2. Hol prove Theet, The area of…

A: Area of right angle triangle is 12·Base·Height . Concept of  Rotation in complex number : If we…

Q: Find the area bounded by r2 81 cos 20. %3D

A: Let's find.

Q: Find the area between y = In x and the x-axis from x = 1 to x = 3. * 3 In 3 - 3 In 3 3 In 3 + (-2)…

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Q: In Exercises 1-10, draw a graph of the signed area represented by theintegral and compute it using…

A: We graph the function as