Tmie The vedor fiebl F=8 + Ceastxy)R bes a false or tan Cy)7+z² Oln Cxti ) a veetor potential with domain R nte 2). The Vector feld F =C Fap, Ptt 18) Mas a salar potential in the region Ref (xy s)E R:xf

Q: 1.7 Applying Rules From the premises "p and not q" and "r and not s", we can derive the conclusion…

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Q: (10) + 2(11)¹ (10)8 + 3(11)²(10)7 + ... + 10(11)⁹ = k (10)⁹ then k= ?

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Q: (1) (A × B) U (B × C) (2) AX (BUC) C = {9,10}, B = {7,8} , A = {4,5}

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Q: 16s? +37s - 30 Determine L (s+2)2(s – 3)

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Q: (5+1) + () + (+) - (+) +.. 27

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Q: 8s - 16 (s² + s)(s² + 1),

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Q: +6n +3 is Θ (n)

A: 1st expression is TRUE

Q: 2(210) 2(510 210) 510 210 510 3 2 1 show that 1 4 2(510)210 10

A: To calculagte the 10th power of the given matrix in the required form

Q: acosa (x)+-5sin (x)-4-O

A: Consider the equation,

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: lin +²-25 ++-5 2t² + 1lt +5

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Q: Find the center and radius of each circle. 1. x2+y2 25 2. (x- 1)2+ (y+ 1)2 = 49 3. (x+ 2)2 + y2 = 36…

A: The general equation of a circle is (x-h)2+(y-k)2=r2,  Where h= x-coordinate of the center of circle…

Q: 4 T dx - 1 er 15

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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: 16 If X-B (4, p) and P (X=0)=- then P (X=4) 81

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Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

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Q: x² –1 4. x2 -4 (-2, – 1], [1,2)

A: Given :

Q: (5+i6)+(3435) (2-14)-(3+i7)

A: Given,      (5+i6)+3∠35(2-i4)-(3+i7)=

Q: (-1)**'n! 1-3-5..(2n+1) n+1

A: The objective is to find whether the series is convergent or divergent.

Q: Evaluate the expression. (3) - (1) •(3)-(3)-(?) - (3) -(¿)-(3)

A: Topic = Algebra

Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: 5 (-1)* k + 2 (-1)* The following equation is correct: k + 1 k=0 Select one a. False b. True

A: Given,

Q: In 2 -0 (4.) 4e sinhədə 0

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Q: ´5s²–15s-11) -(s+1)(s–2)³. 34-2s 2. i) Find ii) Evaluate (15(s-5)(s+3).

A: The solution is given as

Q: 4 | (153w 19 + 505w17 + 120w15 + 144w13 +w?) dw - 4 4 | (153w19 + 505w7 + 120w15 + 144w + w) dw= ||…

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Q: 12 + 4j express both (a) – and (b) z +- in the form x + yj. If z =- 9- 7j ... (Simplify your answer.…

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Q: I +3 Evaluate – 1)²(z² + 2) dr.

A: Use partial fraction to write the integrand in different fractions.…

Q: Question ( 27)/(50) 7 The coeffiecient for 6m+7 is m A False B True

A: Given query is to find the statment is true or false.

Q: O True (²7.¹7 (²77)) ²1¹7A (2)

A: This expression is False

Q: 4sin(x)+2=0

A: Given : 4sin(x)+2=0 ---------------------------------------------------------------------------- To…

Q: 2 + 4 + 6+ . . . + 2n = n(n + 1)

A: On solving this we will get

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

A: This is a problem of multi variable calculus.

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: – 3t +2 (b) 24 (a) 15

A: Here we can use the following formula: 1. Lafx+bgx=aLfx+bLgx2.  Ltn=n!sn+1

Q: -2 21 3. Which of the following 51 2 1 Let A = 4 5 31 B = 12 and C 2 4 is the third row of A" B –…

A: Solution

Q: Example 6 If ð = (3, 2), b =(5, –1), ĉ = (-4, 2) find (a) 2a + b – 3c (b) 3a + 26 – 7.

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Q: 2s (s-1)(s+2)J (s+2) Select one: O True O False

A: Let us find the inverse of RHS and LHS separately then we will compare. LHS:…

Q: 2s2-s+4 s(s²+4) =4 + Bs+C s²+4

A:

Q: 6 - 16 =20 2 #(0) = – 2, y(0) =

A: Given query is to solve the given initial value problemx'y'=61-292xyx0=-2y0=-16

Q: What is the equation of the circle graphed below? B. -2 9.

A: The equation of circle is     (x-a)2 +(y-b)2=r2         Where (a,b) is the centre of the circle, r…