Given the following planes T₁: x+y+z=1 1₂²x+2y +2= = 1 13:X-5y +32 = =4 9. find acute angle between e and T3

Q: The real part of (11x + 1 + iy)dz where C is the line joining 1- i to 2+ i is Answer:

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Q: 2. [2у 2y° (2y – 60)° x° 2y°

A: In the given figure:                   2y°=2y° Opposite angles of a parallelogram are equal (or…

Q: jw)² +5jw+6 =(jw)² +3jw+2jw + 6 =jw(jw + 3) + 2(jw+3) (jw+3) (jw+2) I

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Q: F = (-3y, 3x); R is the triangle with vertices (0, 0), (1, 0), and (0, 2).

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Q: If z1 = 3 + j2 and z2 = 5 – j3 , what is the simplified form of z1 z2 ?

A: We know that the rectangular form of a complex number is written as z=a+jb where a and b are real…

Q: Given the center of a circle is (-2, 10) and the radius is 8 , which of the following would be the…

A: Concept : the equation of  of circle with radius r and center (xo,yo) is (x-xo)2+(y -yo)2 = r2 given…

Q: Find Df and Duf to:- XZ on the point (,,1) inthe direction of V = 2i -3j+6 K. %3D soLiin ansi- lo

A: Directional derivative of the function.

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: b) Consider the line connecting the points P (-1,2) and Q (2,5). i) Find the equation of the line…

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Q: Find (i)27 = а. i b. -i с. 1 d. –1

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Q: The equation of the circle whose radius is 3 units and whose center is the intersection of the lines…

A: As we know that the standard form of the circle is: x-h2+y-k2=r2 Where Center : h,k and radius : r…

Q: -3 . Let vi = V2 = 2 V3 -6 and p = 6. 3 3 14 . -69 Determine if p is in Col A, where A = [v, v2 V3].

A: • Col A is the column space of matrix A which is the set of all possible linear combinations of the…

Q: Find the derivative.

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Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: [i] Let ABCD be a parallelogram where A is (2,−1,−3), B is (1,0,−2) and C is (2,3,1). (a) Find the…

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Q: Find (5z" 2æ®)dæ 5x° + + C

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Q: What is the distance between the given pla P₁: z=x+2y + 1 P2: 3x + 6y-3z = 4 O 0.95 O 1.50 O 0.14

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Q: For each of the following question, find: (i) Intersection point between the line, L and the plane,…

A: Given a) L: r→=3i~+3j~-2k~+t2i~-2j~+3k~     P: r→.i~+2j~+k~=3 b) L: r→=2i~+k~+ti~+2j~-2k~     P:…

Q: 06: Given (x+ y +z=1) and (2x- 3y +z=4) are two planes. Show if the two planes are parallel,…

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Q: What is the distance between the given planes? P1: z= x + 2y + 1 P2: 3x + 6y - 3z = 4

A: To solve the given problem:

Q: (c) Consider the parallelepiped with sides: u=(5,-2,1), v=(3, 2, 4), and w=(-6,1,1). V

A: Angle between two vector V and W found using cosine function

Q: Find y da2 x = 5+t2, y = t- t

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Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: Find the de terminant OF the matrix below : * [: ] 3 d. 2 a. -2 4 -5 4 2 b. 3s - 2 Cos -1 e. 3 1-t…

A: The given matrices are: a. 31-24 b. 13s-126s-1 c. 13t26t d. 102-541121 e. 331-t4-t

Q: Find the angle of intersection of the plane -1x + 2y – 4z = = Answer in radians: and in degrees: 1…

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Q: = (1, -2,2) FIND: The distance from B to the line, L. d(B, L). B b = AB B = b OA = Ĉ(0) = (1, 2, 1)…

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Q: Evaluate fe(11 +x³)dx + 76dy where C is the line segment from (0, 1) to (-2, –1) followed by the…

A: We will first break the whole path into two segments and then integrate on both segments.