Find n if 2P(n, 2) + 50 = P(2n, 2) note: P(n, k) = nPk

Q: 8. 2n+1

A: We will solve the problem using root test.

Q: 5olve The simultaneaus.equation 22 tiw - 2 2+ (1ti)w =3;

A: Given :                    2z + i ω = 2 .................(1)2 + (1+i)ω = 3i ..............(2)then we…

Q: frved 4x-5x-15 de

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

Q: ƒ(5x² + 4x³ − 2x + 1)dx 이름 +2 -를 +a + C 5 2 O x5 x5 + x²-x²+x+C O 20x5 + A O 20x³ + 12x² −2+ C…

A: Given, ∫(5x4+4x3-2x+1)dx

Q: Suppose that you have 9 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given, Green cards=9 Yellow cards=5   Let,  G1= the first card drawn is green G2= the second card…

Q: MT BF due to tr 2 exp (tr/0.390) 9.6X1018)x 250x106 x1 tz 0:34Ne → TrE 14:99 x 151((p. ftip.fiop)…

A:

Q: The set of of solution of x2 - 5x+ 6 0 in Z12 is (a ).{2,3,4} d){2,3,6,11} (b) {2,3} (c) {.2,3,6}

A: Hence option (b) is correct.

Q: (2n)2k B2k 3(2k) = (-1)k-1 2(2k!)

A: We will use the knowledge of basic theory concerning the Riemann zeta function and the Bernoulli…

Q: represent the number of squares in Step n? O f (1) = 5, ƒ (n) = 5 + f (n – 1) fo rn > 2 %3D O f (n)…

A:

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

A:

Q: Determine whether x = (0 3 0 9 2) is a solution

A: Given that max   2x2+2x5s.tx1+x2-x5=1x2+x3+x5=5-2x2+x4+x5=5x1,x2, x3,x4, x5≥0 To determine…

Q: Let / (r) – = 2x 3z+2 and g (r) 6x 5x+2. What is the rule for (g-f) (x)? o (g-) ()- 4 2x o (g-) (2)…

A: Given functions are                                   f(x)=2x4-3x2+2g(x)=6x2-5x+2 we have to find…

Q: 3 Check the box under the output column for the scenario where input is not equal to output for any…

A:

Q: -2 7 -6 Let F= 4 4 | and G= 7 1 -1 2 - 4 2 Find – 6F+ 4G.

A:

Q: BV St P X, X2 X3 S, 8 2 2 10 Const. 32 30 40 2 8. -5-3-2

A: Given the following tableau: BV P X1 X2 X3 S1 S2 S3 const S1 0 8  2  2 1 0 0 32 S2 0 10 6 4 0…

Q: 7(z+2)=2(z+3)

A: 7(z+2)=2(z+3)7×z+7×2=2×z+2×3

Q: Va +3b + Va – 3b If x=- Va+36 – Va– 3b prove that 3bx² – 2ax +3b = 0 | - -

A:

Q: A party will have hexagonal tables placed together with space for one person on each open side.…

A: Here, n represents the tables. So, P1=6P2=4+4=8P3=4+2+4=10P4=4+2+2+4=12P5=4++2+2+2+4=14

Q: 10 (S) (S+3)² = (3) (S+3) ²³ + K₂ (S+3) + K3+ K₁ (3+3)

A: The given equation is 10ss+32=k1ss+32+k2s+2s+32+k3+k4s+3 To find the value of k3 when s=-3 .   The…

Q: nv n=1

A:

Q: Part 1. Obtain a solution to the following differential equation valid near the origin: 1.] For the…

A: Part 1. Given equation is y''+3xy'+7y=0   4. To Find: The recurrence relation for n≥2   5. To Find:…

Q: 6x2 + 7x - 20 factors to (2x + 5)(3x - 4). O True O False

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: what does P(A∩B) = if P(A)=0.63, P(B)=0.47, P(B∩A¯¯¯¯)=0.27

A:

Q: Second time I've had to ask this. How does X1-X3=0? How does X2 + 2x3=0? Shouldn't it be 1+4=5? How…

A:

Q: р-1 E (3k? – 2k + 1). k=-2

A: we have, ∑k=-2p-1(3k2-2k+1)

Q: Determine the value of n if it is known that (n + 1) P 3 = 24 {n C (n - 4 )} а.

A:

Q: find the coefficient of t8 in expansion of 2t(3+t)20

A:

Q: m(x+2)- m(x) If m(x) = - 2x+1, what is -2

A:

Q: Find all integer x satisfying the condition x = gcd(4x + 3, 2x). Justify your answer.

A: To solve the given question we will use the following rules: 1. If a and b are two positive…

Q: Step 2 using the value from equation (i) 3(2p+1-VAp+1) 0 we have 4p + 1 + 2 – 3 V4p + 1 (V4p + 1 –…

A: