Question 13 Evaluate L{r³e3r+S, 6e5 (A (s– 3)4 6 (B) s*(s– 3) 6e5 s4(s- 3) D s4(s - 3) (s– 5)

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: 12x +1 S dx. (2x - 1)2 (3x + 2)2 Evaluate: (2x – 1)3 (3x +2)3 A) + C 3 8 in |(2x- 1)2 (3x+2)2| + C 1…

A:

Q: e 255 (s+2)-16) uz(t)e 2-2)cosh(4(t - 2)) Select one: O True O False

A: To check: whether the given condition is true or not

Q: frved 4x-5x-15 de

A: we use to solve this integral by using partial fraction method

Q: 2dy Уу+16)

A: Solution of question as follows

Q: * n(A) = 11- n(A J B) = 15. and n(B) = 13, what is n(ANB)? n(ANB)

A: Solution: From the given information,

Q: (2x y 2*) (x*)(x-17) (8m'n*)(7m*n") 18a b'c 6a b

A: (a) 2x2y3z43 Simplify as, 21×3x2×3y3×3z4×3=23x6y9z12=8x6y9z12

Q: Find the L(e2" (1+ t)²). ,2t a) + (s-2)* 1 b) + (s-2)2 2 (s-2)3 (s-2)2 c)+2 (s+2)³ (s-2)? d) +…

A: The following formulas can be used to obtain the Laplace transform.…

Q: 3x – 5 (ii)! dx. 12x - 7x- 10

A:

Q: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

A:

Q: The spreadsheet below shows the cost for a family of 4 to visit a small, local amusement park. The…

A: The Formula for total cost is as follows Where F represents family pass S represents Souvenir cup D…

Q: (213)(4*) Simplify (8+3) O t3 2 O 2t3 O 1

A: Solution:-

Q: 6x 4x 7x + 40 Compute 7. O6+ 80 + C O 3x + 4x - 7In]x| + 40 + C O 18x+ 8x - 7 +C 2x O 3x + 4x-7in|x|…

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Q: Ex: 5 R T Ex: 5 R (ED) -¯¯ T (ED Т 4 -2x1x₂x3 x1 + 2x3 Ex: 5 Ex: 5

A:

Q: 2[6a-2a(3a+3b)+6a2]

A: The given expression is

Q: 6x-1 If Зх +7 was written in the form 2+ 3x+7 then b%= (1) -1 (3) 12 (2) 7 (4) -15 21 3. 4.

A: Given  6x−13x+7

Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

A:

Q: Find L[te®]

A: We can solve the problem using following properties: eat = 1(s-a)Multliplication by T t.f(t)  =…

Q: Which of the following is one of the correct steps to differentiate y=(3x-2)2(2x-3)3 ?…

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Q: (В y (62 - (52²-2³)) dz [² (62 − (52² − 2³)) dz + S* ((52² − z³) − 6x) dz 15+ 10+ 5 10 1 2 3 The…

A: Given data

Q: dT -k(T - 35), where k is a positive constant. dt

A:

Q: Evaluate using the substitution method. √ dz 2x4 (6 +x5) 4 2 1 [(26²du) - 15 (6+23)² + = = + C +x5)³…

A: Given ∫2x46+x54dx

Q: The residues of f(z) O-4/9,-4/9 O-4/9, 4/9 O 4/7,4/7 O 4/9,-4/9 O 4/9.4/9 4z (z − 1)(z + 2)²

A:

Q: Match the following equations with their direction field. Clicking on each picture will give you an…

A: Given equations: 1. y'=2xy+2xe-x2 2. y'=yx+3 cos2x 3. y'=-2x+y2y 4. y'=2y-2 To Match: Each function…

Q: L-1 if (24/ ((5-7)²-9) 1 ;)} What's the value of a*c? = atbect senh(3t). =

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Q: 21 - 21 +k).(21- 3j- 7k) = %3D 3/4 1/2 3.

A: Let two vectors, be r1 =a1i^+b1j^+c1k^ and r2 =a2i^+b2j^+c2k^  . The dot product of these vector, r1…

Q: 2s Use Convolution to find L-1[- (s²+4)2-

A: Given: L-12ss2+42

Q: s'-4S+5)². ±+ S 9 - 2.

A:

Q: dx 16. S 9x2-4 |3x+2 A. In +c B. In D. tn +C + C + C |3x+2 |3x+2| 3x-2

A: This is basic integration problem

Q: (3 + 5y +7{ ) 2+y? 200 + y02 exists if lim r)(0.0)

A: This is a problem of multi variable calculus.

Q: 3 - 4 fX = the value of X" is - 1 %3D

A: We have to find the value of X^n

Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

A:

Q: 1 2. Find L-1 [ s2-8s+25

A:

Q: e (t + 5t- 2)

A: Given, e2tt3+5t-2. The given function is can be written as, e2tt3+5e2tt-2e2t, By applying Laplace…

Q: f(2x. (2x + 6)5 dx 0 (2x+6)6+ C 2 H|M 3 12 (2x + 6)6 + C (2x + 6)6 + C (2x + 6)6 + C

A: A detailed solution is given below.

Q: (2D 3D-2)X+(D+ZD-494-4 D+HX+LD+2}y=o

A:

Q: Evaluate (4D5 – 23D3 – 33D² – 17D – 3)y = 0 3x a. y = (C1 + C2 + C3x²)e¯* + (C4x + C5)e7 3x b. y =…

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Q: 1/2 z + 6 = 3/2 (z + 6)

A: We have to solve for the value of z in the above equation.