B. Exterior Angle Inequality Theorem Given: Δ ΜΝΟ Prove: mLM + m²N = MLACB

Q: H-w lo Find the dliscontinnity point of &cz): 4ca) = 5(2+i) 2+ci-2)Z-zi fcz) = c2) = Sin Z

A: Find the attachment

Q: I--I---A sin dydx sin:

A: Given I=∫x=12∫y=xxsinπx2ydydx+∫x=24∫y=x2sinπx2ydydx In the given function variable y is in…

Q: a) Find the area of the reason that lies inside the circle r= 3a cos 0 and outside the cardioid r=…

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Q: Suuface aera of a toxus Show that a fos with R>o ssee Higuee ] may be described parometri cally by…

A: Given: ru,v=R+rcosucosv,R+rcosusinv,rsinu0≤u≤2π, 0≤v≤2π To find: Surface area of the torus.

Q: part öf the cicle42| = 2 in the first quadrant. Find an upper bound for the integral . b) Let C be…

A: Solution-(a) the path of integration has the length L=4π Upper bound M for the function =1z2+1;z=2…

Q: Find the area a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: 2) Use the quotient rule to prove the following. x=D1 [Please reference the Chapter 3.5 lecture…

A: Since you have asked multiple question, we will solve the one question for you. If you  want any…

Q: i. Produce a graph showing the area under the curve and decide the area bounded by the curve y =…

A: Solution for part a: Given y=5x2 The graph showing the area bounded above by the curve y=5x2 , on…

Q: b) y = xe-x c) y = x³ + x? 15xs2

A: Given the curve  b) y=xe-x   0≤x≤2 c) y=x3+x2  1≤x≤2 We need to evaluate the integral.

Q: find area enclosed by lutve a) x²=1²=2+₁ Y=FF and y-axis )

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Q: What is the area enclosed by the curve A) 3n4 B) 52 4x x² + 1 . the x-axis and the line x = 2? C)…

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Q: Find the area bounded by x² = y-1 and x = y-3 using horizontal strip

A: To find the area bounded by  by using horizontal strip.

Q: Sanlcosk) dx which of the following is the velve of the integral in the meaning of Riemann?

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Q: Find the area between the curve y² + 2x – 2y- 3 = 0 and the y– axis 15 а.) sq.units 2 b.) 36…

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Q: 27) sin 0 csc A) -1 B) 20 C) 1 tric function of A D) 0 27)

A: Given query is to find the value of the expression.

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: 5. Show that in any row of mn + 1 distinct real numbers there is either an increasing subsequence of…

A: A classic result known as the Erdos–Szekeres theorem or the Dilworth's theorem.

Q: Fins the area bound by one pedal of the rose curve f(theta)=4sin(3theta)

A: The given problem is to find the area bounded by one pedal of the rose the curve…

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: 4) Find the area of region that is inside the cardioid r = a(1+sin 0), outside the circle r = a sin…

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Q: What is the modulus of the compex number (4 + 5i) if it is converted to the trigonometric form? A…

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Q: Question 2 a) Evaluate: b) s feta 00 +y² dxdy Show that for double integral dxdy rdrde

A: