m+n)(p+q)=(mp+np)+(mq+nq

Q: Find the antiderivtive: /102³-52² +7 x6 -dx = + C

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: b) 4(x – 4)(x + 2)² (2x – 1)³ < 0 - -

A:

Q: In(2x² – 2) = In- 2x2 = 2 In x 2. True False

A: Check whether ln2x2-2=ln2x22=2lnx is true or false as follows. Recall, ln(a)-ln(b)=lnablnxa=alnx

Q: draw the solid x² + y² +2²=2 2 = √3x² + 3√²

A: Given equation are: x2+y2+z2=z z=3x2+3y2 To find graph the given functions.

Q: - 9x - 24 (x + 4)(x + 1) Evaluate ·S -dx + C

A:

Q: Find /( - 32² + 02 - 3³ + √²) dz 6 3x6 x6

A:

Q: Let a, = 1 and a₁ + a1 = n² + 2n, n ≥2. Evaluate S

A:

Q: 13 - What is the Lagrange interpolation polynomial which passes through (2,2) and (4,6)

A: We use the Lagrange interpolation formula

Q: Find the GCF of -3x3 + 15x² – 6x

A: To find the GCF of -3x3+15x2-6x

Q: Which of the following is a factor of P(x) = x3 - 3x2 - 3x +9 c) (x + 3) %3D a)(x - 3) b) (x – 2) d)…

A:

Q: When an (1) 3 2 ak+1 = -3ak +2 (k=1,2,3...), a₁ = (1) × [(2)″ +(3) (2) (3)

A: To determine the missing terms in the following.When a1=32ak+1=-3ak+2         k=1, 2, 3, ...,…

Q: Find 1 (9) Lp(p – 1). p(p²-1)3 (10) L-1 (p2+1)2,

A:

Q: If n = 12 m (me N), prove that "C₂ (2+√√3)² "Co- - + "C4 (2+√√3)4 "C6 (2+√3)6 ·+···=(−1)| 2√2 1+√3 n

A:

Q: 19) (x +2)4 – )2 +4 = 0 5(x+2,

A: (x+2)4-4(x+2)2-(x+2)2+4=0 (x+2)2((x+2)2-4)-((x+2)2-4)=0 (x+2)2=1,(x+2)2=4 x+2=+-1,x+2=+-2…

Q: x(x²+1 V2x³ –1

A: to calculate thefollowing expressionlnxx2+122x3-1

Q: Can you please revisit 2 (b) , I think it is not correct , especially an+1.

A: Let ∑an(z−a)n be apower series.Then the radius of convergence R=1limn→∞|an+1an| if limit…

Q: 3 4 gla) - 4 17 3 A) s '(x) 3 A) Yes B) No -2.x + 8 B) f (x) – 3 C) s '(x) – x – 1 2 3) Sl:) – VI+2…

A:

Q: (т+n)(p+q) — (тр+пр) + (тg+пg).

A:

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: 5) Find CD 2x +21 C D x + 21 10

A: Given the line segments

Q: (x² + 7x + 12) + (x + 3)

A: Given Data: Division: x2+7x+12÷x+3 Factorise the numerator equation.…

Q: 2-メ Compite lim %3D Xラム z(T-X)

A:

Q: The number of X₁ + X2 + x3 + x4 + X5 + X6 = 12 is C(12+6-1, 12) = C(17, 12). True non-negative…

A: It is known that the number of non-negative integer solutions to the equation: x1+x2+x3+⋯+xn=k is…

Q: Prove that (p – q)× (p+q)= 2(p×q)

A:

Q: verify that (AB)T = BTAT

A: Given matrices: Now,

Q: the number of nonnegative integer solutions to (x₁ + x2 + x3 + x4 + X5) (X6 + X7 + x8 + x9 + x10) =…

A:

Q: Answer the question and gets thumbup plzzzzzz

A: here we use fermat little theorem

Q: If p = 4x³ + x² + 2x + 5 and          q = 6x³ + 3x² + x + 2  Find ||p||  and ||q||

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: a) 1 (x-1)(x+2)(x+4)

A:

Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

A: Note: Every options given by the question are incorrect. I am 100% sure about it.  The correct…

Q: 10) (42x-33)+ (7x + 7) Please write in Q(x)+r(x)/d(x) Form

A:

Q: 10. (3k2- 2k + 5) + (-2k² + 6k -7)

A:

Q: Compute √√√(x+x+x+10)8 4x-2 dx.

A:

Q: 4) (-7k+10 ) (k- 1)

A:

Q: If n = 12 m (me N), prove that "C₂ (2+√3)² "Co- - + "C4 (2+√√3)4 n "C6 (2+√3)6 ·+···=(-

A:

Q: c) 2x, +8X2 -Х3 +9х4 =9 X, +3X2 -2х3 +5 Хи 3X, +5Х2 - 12Х3 +17Х4 = 7 че

A: The given system of linear equations…