For each of the line integrals covered in class, give a formula, assuming that the curve C has a parameterization r(t), where t€ [a,b]. The scalar line integral of f along C, [f(x, y, z)ds The vector line integral of a vector field F = Mi+Nj+Pk along C, [ F. dr = [ F • Tds = [ M M dx + N dy + P dz The (two-dimensional) flux integral of a vector field F = Mi+Nj across C, [F = [₁ M C C F.nds = M dy – N dx

Q: z'dz 214

A: We have to find ∫x2 dxx3+4.

Q: Find a11 of A-1 Find a12 of A-1

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Q: ine x and y such that -4 3 0 -4 + -3 x - y -1 -2 4 -4 3 2x + y

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Q: 2X 2x 1+4e* + 4e4x

A: We have to find solution of given integral.

Q: Let A = -7 -7 08 Find - 3A. -3A =

A:

Q: 5 3 4 x-3 x-2 x-3'

A: Given that 5/(x-3)-3/(x-2)=4/(x-3) To solve for x

Q: 48y3 - 27y

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Q: 1.25a +3> 0.5a-6 and 2.5a 129-1.5a

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Q: 0 1 2 4 0 0 1 3

A:

Q: Find d dx (45x+6)

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Q: Find 2. 2 i

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Q: 0 -2 -1 1 A =| 2 and C = -1 -1 1 1 1. A - C 1.

A:

Q: Find the rank of A = ( 1   -1   2   3)                                       2  6  -8   1…

A: Rank of Matrix : It is the Number of Non Zero rows in reduced row echelon form.

Q: 1 + + 4х 2x? х +2 1 1 A If x* (x+2) Then Find A

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Q: X-3 X+1 Rf Dfx

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Q: Express e(1/2-6) in the form a + bj.

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Q: [0 0 -9 3 y

A: Given,           0-93 xyz

Q: х3 — 2х dx х — 1 -3 10. 2

A: Given: I=∫23x3-2xx-1dx For evaluating given integral, we substitute x-1=t…

Q: x² –1 4. x2 -4 (-2, – 1], [1,2)

A: Given :

Q: Graphs of Rational Functions Determine the rational equation for each graph shown, beginning with y…

A: Given Starting function is y=1x     Translation theory- 1. If graph is shifted towards right by p…

Q: A = 1 1 0 0 1 -1

A: Note the following fact :

Q: Prove that (A-1)-1 = A. %3|

A: Let A be inverse of matrix A. Then, by definition We know that

Q: 1-0 1-V

A: The given function for integration is,

Q: Find a21 of A-1 Find a22 of A-1

A:

Q: 3. 27. (x- 2Xx-1) 3. x-2 x-1 3. x-2 x-1 3 3. x-2 x-1 3 3 X-2 x-1 +

A: we sove the question .option d is correct answer.

Q: Let A = 2 0 and 1 -1 2 3. find A+(28)"

A: Given that A= 1201-12        and B=2-11103 find A+2BT

Q: [-1 ] 5 8 1,

A:

Q: xy dxdy Hw

A: See attached file for a step by step explanation.

Q: Multiplt. 3i(4-i)

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Q: Simplify. (4y²– 2y-3)+(3y²–5y-4)-(8)²-4y-8)

A: Given :

Q: 10. 3 + Зу- 1 + у

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

Q: Evalvate S (4sin co) -8cos co) )do

A: Given that: ∫0π(4sinθ-8cosθ)dθ

Q: Find a21 of A-1 Find a22 of A-1

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Q: –4(–6m – 7).

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Q: -3 -2 -1 1 2 0000000 3.

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Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: Simplify 2 2. 3 13-5 2-1

A: Follow the procedure given below.

Q: 1/20+1/10+1/4

A:

Q: 5/6=c/9

A: Given 56=c9 We want to calculate c