II Which of the following operators are linear? > LU = Ux + xUy > (ii) LU = Ux + U² y

Q: (xCsc-)dナ×

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Q: Let 2x 3x + y 8 7 A = and B : 2у — х xy -7 -6 For what values of x and y does A=B?

A:

Q: 7レ10u'v· 8uv 3 10u°v 8uv3

A: = ( ( ( ( ( 7v3*10 ) * u3 ) * v5 )*8 )*u )*v3 = ( ( ( ( ( 7* 2 * 5 v3) * u3) * v5) * 8) * u ) * v3…

Q: Due to heavy rainfall and waterlogging, only a few vehicles are seen on the road. Check the…

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Q: -1 0 -6 9- Let D = 4 Find -2D = 2.

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Q: Find u+v-2u. U= = (5, 3) and v = (-3,5) u+v-2u=

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Q: du ди + 2y ди 2x?y ax az Əx

A:

Q: GIven u = and v = determine -4u - v

A:

Q: Find VU 5х - 1 11x + 1 T U 16

A: Given, VU= (5x-1)   UT= (11x+1) and     VT=16

Q: |- 4X

A:

Q: x²+x 7. Evaluate , S, xdydx . -1 J2x²-2

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Q: +3 2y +1 4x-35 5y-8 4 11/5

A:

Q: Write as a line ar Combination of V, ,Vz,V3 where V= (1,5,4) ,V, =(1,3,-2),Vz=(2,7,-1) Vz=(1,6,7)

A: The given vectors are: v=1, 5, 4, v1=1, 3, -2, v2=2, 7, -1 and v3=1, 6, 7 Write the vector v as a…

Q: where is the res

A: We can find rest parts .

Q: 10. 3 + Зу- 1 + у

A: Given that                     3+3y-1+y Now we simplify this.                           3+3y-1+y…

Q: To-22 (1ny-8x) dy da

A:

Q: How are r and r squared interpreted?

A: The correlation coefficient (r), is used to define the linear relationship between the independent…

Q: If possible, write -3 -z- 2r² as a linear combination of 2 +z + x², 2+ 2x + z and 3+ 3x + 2x2.…

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Q: +10-3+v (e%3D2, v 4)

A: Given that  C4 +10 -3 +V And C=2 V=4. Substitute C=2 and V=4 in given equation.

Q: Simplify the expressim (x5y5)4 2.

A:

Q: dæ 9 - x2

A: Given data:   The given expression for the integration is:. Assume x=3 sint, differentiate it both…

Q: How did we find that variables x and y are independent?

A: Solution

Q: The slops of (-2,-2) and (2,1)

A: Topic:-  Geometry

Q: The i-component of +t is Do not leave any space in your expression.

A:

Q: How to interpret r in relation to the context?

A: In question, We'll discuss about interpretation of r i.e. correlation coefficient.

Q: Differentiate.

A:

Q: write of linear Combination as a V,Vz, V3 where V= (2,7,10), V.=(1,2,3),V2=(1,3,5), V3=(1,5,9)

A: Let us assume v can be expressed as linear combination of v1, v2 and v3 v=av1+bv2+cv3…

Q: Simplify 2 (2-) I 2.y-5.22 2

A: Simplifying the given expression

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.