1. Find the projection of ū = 6i + 3j + 2k onto v =i-2j-2k. %3D

Q: 12 3. 5. 13 18 -1 For what value of hs in the plane spanned by j and i? Preview Answers Submit…

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Q: 2. Given A = {1,2,3}, B = {7,apple, .5} and C = {r|x < 3 and r 2 -1}, compute the following %3D %3D…

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Q: Let →a=⟨3,1⟩ and →b=⟨1,0⟩. Find the projection of →b onto →a. proj→a →b=

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Q: In AEFG, L is the centroid. If LJ=25 find EL. F H J E K Answer: Submi

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Q: d) If S is projected onto the x - y plane, what is the shape of the resulting projection?

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Q: 5 3 - 2 Let y = 1 Find the distance from y to the plane in R° spanned by u, and uz. -2

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Q: Use the given transformation to evaluate the integral. (8x + 8y) da, where R is the parallelogram…

A: Given that vertices of parallelogram is −3,9,3,−9,4,−8  and −2,10 And transformation is x=14u+v  and…

Q: 18. Find the distance AB between the centers of the two rollers in Fig. 6-43.

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Q: Convert the differentral equatim into e S and Save nhe System: (20-70-4y)%3D0

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Q: Consider the paraboloid paremterized by o(u, v) = (u, v, u² + v²). 1. Find the second fundamental…

A: 1 Consider the paraboloid parameterized by σu,v=u,v,u2+v2. We have to find the second fundamental…

Q: 15 16" 10 24" 3D 3D 3D 3D 3D -----

A: We will find the volume of the given figure as following.

Q: If S is projected onto the x – y plane, what is the shape of the resulting projection?

A: Idea: if we project the surface in xy- plane z=0. if we substitute z=0 in surface equation we get…

Q: Select all of the statements that are true. DG = 8 %3D AG = 10 GE = 10 %3D O CG = CD O G is the…

A: Given, Also given, AE=15AF=8FG=6BF=24

Q: Use the given transformation to evaluate the integral. (12x + 12y) dA, where R is the parallelogram…

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Q: Sketch z =- 2cos y in R3

A: The expression y=cos(x) will give the graph of a cosine curve in the x-y plane, with the value of y…

Q: Question 12 Given u=21+31 and V51+2), ting the projection of u onto v.

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Q: Find the orthogonal projection of y onto u 16 8. 48 OA. 32 4 OB. OC. OD. 32 - 16

A: We have to find orthogonal projection of y onto u

Q: The transfomation takes points from the xy plane to v= 3x Jx=? that takes points from the uv plar V=…

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Q: 1. Construct the bisector of XY.

A: We need to draw bisector of line. AS per our guidelines we can not solve multiple questions so I am…

Q: Consider the following. u = −7i - 2j - 4k, V = 4j + 4k (a) Find the projection of u onto v.

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Q: in C6. Evoluate the Rxpiession, write your ans wer polar and rectangulor form

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Q: Find the orthogonal projection of y onto u. - 8 4 y = u: 6. 12 O A. 1 4 3 4 О В. 4 12 Ос. 16 48 O D.…

A: We have to find orthogonal projection of y on u.

Q: In AEFG, L is the centroid. If LJ=9 find EL. H J E K

A: We have given a triangle. In which LJ is the centroid. And we have to find EL

Q: Let a = ( – 3, 4) and b = ( – 3, 1). %3D | %3D Find the projection of b onto a. projā b %3D

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Q: What are the perpendicular generators on (D) 좋 =3 %3D2 (P) 16 2. of the surface

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Q: Find the projection ofv onto u

A: We have given two vectors v=-24 and u=-11 We have to find the projection of the vector v onto u.

Q: 1)calculate xy dxdy D where D is a parallelogram with vertices (0,0) ,(5,-1).(3, 1) and (8,0)

A: We have to evaluate the integral ∬ xy dxdy over D where D is a parallelogram. First we will sketch…

Q: dA where R is the quadrilateral with the 5: Evaluate RI+y vertices (1,0), (4,0), (0,1), (0,4) using…

A: The solution are next step

Q: Consider AB in the coordinate plane below. 10 4. 2. A -10-9 -8-7 l0 1 -1 -5-4-3 -2-1 2. 4. 10 -2 -3…

A: Given: AB¯

Q: Consider, 21u = 2x – 3y and 21v = -–x+y Find the value of the Jacobian a (x, y) a (u, v)

A: 21 u = 2x - 3y, 21 v = -x + y

Q: Calculate / Ss (4xy + e- )dS, where S is the triangle in Figure 1 with vertices (0, 0, 3), (1,0, 2)…

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Q: 9. f(z) = e'm/4 z %3D

A: Given: Triangle  with vertices 0,1 ,i . f(z) =eiπ4 z To find:  image of given triangle under f(z)

Q: 2. Show that the equations f(r, y,P. q) = 0 and g(r, Y.P. q) = 0 are compatible if %3D %3D a(f,g)…

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Q: The orthogonal projection of v = 10i on b = -3i + jis <

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Q: 1. In R2, what is the dual cone V* if the primal cone V is V %3D {y1 (-3, -4) + у2 (1, -3) |у »3 0}

A: Given: V={y1(-3,4)+y2(1,-3)|y&gt;=0}

Q: Use the given transformation to evaluate the integral. (3x + 12y) dA, where R is the parallelogram…

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Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: Use the given transformation to evaluate the integral. (12x + 12y) dA, where R is the parallelogram…

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Q: Exercise 3: Determine the shape functions N1, N2 and N3 at the interior point P for the triangular…

A: Using nodal cordinate formulas  N1+N2+N3=1 X=N1(x1-x3)+N2(x2-x3)+x3 Y=N1(y1-y3)+N2(y2-y3)+y3

Q: Given A = -3ax + 2ay + 7az and B = 2ax - 6ay + 5az , find the %3D %3D projection of A on B.

A: solution is 2.11

Q: 9. If H is the centroid of ABDF, DF = 50, CF = 42, and BH = 22, f а) НЕ - b) EF = c) HF =, с) HF- G

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Q: 12. Let v =|0 and y For what value(s) of h is y in the plane -3 -2 generated by v and v2?

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

Q: What are the perpendicular generators on (D) 등 =D3 %3D (P) -= of the surface

A: Given equations are  x216-y24=z ......(1)x3=y2=z-4  ......(2) Equation of generators of the…

Q: c. Let P(x, y) = y² + sin¬1 x² and Q(x, y) = 2xy + 4x. Suppose that C is the parallelogram with…

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Q: Let v = and v3 1 for which values of S, v,, V2 , and v3 are linearly %3D V2= %3D indonondont

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Q: 9. f(z) = e'n/4z %3D

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Q: a. Let z1 = 2 – 3i, z2 = 3 + 4i and z3 = 1– V3i. Find z1z2 + z3 then sketch it on Argand diagram.

A: Simplify Z1Z2 + Z3 in simplest form and convert it into polar co-ordinates.

Q: Consider AB in the coordinate plane below. 10 7 5 4 3. 2 A B 6 7 89 10 10-9 -8 -7 -6 -5 -4 -3 -2 -1…

A: i am going to solve the given problem by using some simple geometry to get the required result.

Q: Use the given transformation to evaluate the integral. (9x + 9y) dA, where R is the parallelogram…

A: This question is based on the concept of change of variables in double integral whose formula is…