f(n) = 7n* + 3n² + 2 is %3D a) N(n5) b) N(n10) c) N(n*) d) It is not possible

Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: En=1(-1)"+ln+2 n+ 5 n+1 n+ 2

A:

Q: er + e-x3 d) k(x)= 3e* + 4x

A: Given function, k(x)=ex+e-x33ex+4x

Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

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: pk Ph (x)=k! T(m-k+1) (k+m+1) m X \x X

A:

Q: A water tank has the shape of the solid formed when the region bounded by y = and the y-axis for 0 <…

A:

Q: 17 (4D? + 4D + 1)y = 0

A: It is differential equation problem

Q: Show that if (B) (C) N N then the value of neither x nor y can exceed 1/4. (A) N = X, 2x, = 3x and…

A:

Q: a) 6e2x – 17(e*) + 12 = 0 b) 82x+1 = 45-x %3D

A:

Q: |(25z + 11) e* dz - (25x + 11) +e'z+C 25 (25л + 11) – e'z +C 25 (25л + 11) (25л + 11) — e +C

A:

Q: (ii) w* +1 – 8(@) TOEY 4 2.

A:

Q: This will be (n+k-1)= 29+6-1 29 -¹1) = 34 29 = 278, 256.

A:

Q: dえ (2) ー4X-1) (aど4-) 3 2dx S- x(3(1nx)*+12Inx-15)i 2dx (3x12x-15) 3 ス S メx (8) (x-a^)% x24x+1 ןא

A: According to the guidelines of bartleby I will do only first question please ask rest of the given…

Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

A:

Q: Yob) a) fog)(x) & 3. = (x)) JI 2. x+2 (x)6 8 %3D then find

A:

Q: Prove Vn € N, 1 1 + 1 2 + 1 3 + + 11 2n - 1 + 2n ≥1+ n 2

A: Let's prove the given inequality step by step:Base Case (n=1):11≥1+12This is true, as 11=1 and…

Q: T (k+m+1) k! I' (m-k+1) \x+1, P² (x) = m k/2 X ₂F₁ 2F₁ ( -m, m+1; k+1; +¹; 1 - - - 2 ) 2

A:

Q: /x + 3 + 4 – x > - 3

A: Answer

Q: The 4th term in the expansion of (2x² – 3x)* is - 10 Ca (2r²)*(-3z)® O 10 C4 (2a²)°(–3x)“ O 10 C3…

A:

Q: dx 11 J V64x2 - 121 8 11 18 – In-x+ 8 3 A +C 64x2 – 121 B In 1 V64x2 - 121 +C 11 In V64x2 - 121 +C…

A:

Q: 20 %3D Find (all) the value(s) of c such that 5c2n 3 n=0 (A) c= 2 (B) с — 7 (C) c= -2,2 (D) c = |…

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Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

A:

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

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

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

Q: If n(A) = 9, n(B) = 12, and n(ANB) = 5, what is n(AUB)?

A:

Q: 2/9 23. Evaluate dx. 11/9 11/9 81 x C) 119 A) +C 6- + C 11/9 9. B) 11 6- + C D) -9x+ C 18

A: This question is based on the substitution method.

Q: 9) 2xy2 - (2xy)2 h) b?(b³)² +3b*(b²)2 – (b² - 2b)²b² (4x³y²z}* i)

A: We have to simplify the given expressions.

Q: In this section, we showed that the rule d/dx1xn2 = nxn - 1is valid for what values of n?

A: given that ddxxn=nxn-1

Q: 11 (d) 12/13 + (1 1/12 - 11/1/1)

A:

Q: Suppose Var(X)=9 and Var(Y)=16 and Corr(X,Y) = –0.6.  a) What is Var(X+Y) b) What is Var(X-Y)

A: Given: VarX=9, VarY=16 and CorrX,Y=-0.6 Recall the formula, CorrX,Y=CovX,YVarXVarY Then,…

Q: (*") = (") + G) + 5. Prove + 2n2. %3D

A: