Activity 2: Give the proof of theorem 50 (Parallel-Alternate exterior Angle Theorem). Given: 1 II 2, transversal 3 3. Prove: La = Zd

Q: Let ((u,u2,u3),(V1,V2,V3))=2u,Vị+3u2V2+U3V3 be an inner product on R3. Determine the angle in…

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Q: Evaluate + y?)dr – 2rydy if C is the contour limited by y = VT, y = x2.

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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: Let f (z) = 470 = Q A = 2and B= 2 + 2Let C1 be the contour composed of the line segments O Aand AB…

A: Let x(t) and y(t) be two real valued continuous function an[a, b] then z(t)=x(t)+iy(t), t∈[a,b] is…

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: 6. Consider the following diagram: CII A(-1,2,0) B (-3,1,2) C(4,3,-1) proJa Il proj- u соб е

A: Since you have posted multiple subpart question so as per guidelines we will provide answers to…

Q: Theorem-e Gaey-Hemiltion)let Aexz motrix

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Q: Y tement Reason WX VX/XZ %3D Given XZ = ZVXY Vertical Angle Theorem AZXW 2.

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Q: 4. Find the angle made between the two planes: r+ y - z = 5 and 2r + y +3z = -1.

A: Given that: Equation of first plane: x+y-z=5   ........(1)Equation of 2nd plane: 2x+y+3z=-1…

Q: A. Homo ge neous Higher Ordered DE (0-704 - 310° ° + 103o² 1030² + 1500 - 216) y:0

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Q: Q4: using scalar prodect to find the angle between A= 2i+3j+1k B= -4i+2j-1k

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Q: 2. Let 0 be an angle between vectors w = i +3j and v = (5,2). What is cos 0? What is sin 0? 11…

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Q: 4. (a) (5 marks) Use the distributive property of dot product to find (x – y) · (x + y) when x = 3i…

A: Given:             a) x=3i-4j and y=2i+4j Use the distributive property of dot product to find:…

Q: 9. If ABC is an acute angled triangle then the minimum value of sin A + (1 -sin A)* + sin B + (1-…

A: Claim: for 0≤x≤1, f(x) = x⁴+(1-x)⁴ is minimum when x = 1/2  Proof: f(x) = x⁴+(1-x)⁴  So, f'(x) = 4x³…

Q: a) Draw the function y = sin=1 x (start the angle from –2n to 2t) b) Find a unit vector…

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Q: 9) . 450 y

A: 9. Given data is : Base=yPerpendicular =xHypotenuse=92 In given triangle ,…

Q: Let w = (4,3, –1) and ở = (2,0, a). For which value of a is w orthogonal to u? Prove that there are…

A: vectors are orthogonal if their dot product is zero

Q: Assume z = x+iy = re® , i = V-1

A: Given that: z=x+iy=reiθ

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: 5. Determine the angle between each of the following pairs of planes. = 4 and (2, 4, −5) · (x − 2, y…

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Q: Given: 20= 4(x + 4) Prove: x=1 4) Given: /BADE BDA: B (12x+15)°

A: Note:- These are multiple questions and according to company we can do maximum 1 question so i am…

Q: H-w lo Find the discontinnitypoint of &Cz): ニ 5(2+i) 2+ci-2)Z -2i fcz) = f cz) = Sin Z

A: We have to solve given problems:

Q: Using the extended CIF compute: (Justify your steps! iv) { 2 (1-2jadz - C is a simple, closed,…

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Q: 3. What is the angle between A and B if A.B=0 4. Find (u+v) (2u-v) given that uu=4 u v=-5 and v.v=10…

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Q: don't understand the question I need help please!

A: Answer and explanation is given below..

Q: Here theta is the angle in counter clockwise direction from positive X axis in XY plane. Please…

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Q: Chq/ Evaluate & F.dr by Stoke's theorem, Where fay+x§-cx+z)£ qnd C is the bounday of tri angle with…

A: Stoke's Theorem : ∮F→.dr→ = ∫∫ F→.n^ dS