1 | (12V 42? + 6х + 9/42 + 6х) dx

Q: then 7(1 - а)М? + 6(1 - а) Мт %3D ВM?, 7(1 - а)т? + 6(1 — а)Мт %3D Вт?, Subtracting we obtain Y(1 –…

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Q: If you apply two steps of the Secant Method to x3 = 2x + 2 initial guesses x0 = 1 and x1 = 2, Then…

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Q: 14. Consider that * Sof (x)dx = 2 and f'(1) = 3. Find Soxf"(x)dx. %3D 3 O 5 O 1 O 4 O 2

A: We have to find

Q: 27. P (Z> z) = 0.0239 %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3 ve AB: BBT = ? A FIND 7. 4 2 OA) 2 -1 4 -2] OB) -2 1 [] --4 2° 2 1 OD) -4 2 OE) 2 -1

A: We have to find BBT .

Q: 16. x-By o 4x+25 1t. ax-3731 -Cx+ayー3

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Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

Q: 6. Show that, for integer s, S. s! | x25+lexp(-ax²)dx =: 2a +1

A: Note: Given proof statement has a little mistake, I have proof the actual result. First i have…

Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

Q: 16) If v = 9i + 3j, what is || 8v ||?

A: Recall: If v→ =v1i +v2j then , v→ =v12+v22

Q: 5sin x d) y = In 2

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Q: 22. Differentiate the following with respect to the variable x, giving your answer in a implified…

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Q: Σ n=1 5n Vn3 +1

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Q: dx 4. J xV25-x2 a. In 5+Vx2-25 + C 5+Vx2-25 b. In + C 5+v25-x2 In + C с. d. None of the above

A: In this question we have to solve given integral.

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Expand x?y + 3y – 2 in powers of x + 1 and y – 2. (up to third degree terms).

A: Given :- The given expansion x2y + 3y-2 in powers of x+1 and y-2.

Q: d x" = nx"-1 de 4. Prove that NɛQ

A: ddxxn=nxn-1 ;   n∈Q

Q: You are given that so(x)=e" – 0.001z² for x > 0 Calculate 5|15q65

A: Given that, s0x=e-0.001x2  for x≥0

Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

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Q: 2. Find p and q such that |5x - 2| ≤4 implies Ps 23x-4 5 ≤q.

A: Given |5x-2|≤4

Q: So 3 Vit7x dx U-substiutson.

A: Use u substitutions to integration

Q: /2 5b) What is ll xl)=(2 ²) if x= G,s%2;X3=--) toce where -n/2 2. and Xn = L?

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Q: d) solve to 1l o wing equan on. the differenti al 2 dy 3y = 3 n2 + 5 %3D

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Q: Q2 24. Evaluate ((1+eun) sec² 6Od:) . lan 0 A. In 4 1 В. In 2 С. е 1 D. In 3

A: Q24.  To evaluate the given integral.

Q: D If/2ty -P and 25=n(ytoc) n-T s in terms of n and P express only MS

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: 2л 4sin 0 d0=--- O a. 1 O b. -4 O c. 0 O d. 4

A: We have to find integral.

Q: 31 Ovr Qv(31)2 O (3x)²

A: Laws of surds and indices are used.

Q: 49" + 16n – 1 divided by 64, Vn E N+ -

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Q: a2 z a2z If z = In(x² + y²), find + 2 Əx2 ду?

A: The given function is z=ln(x2+y2).

Q: By using the substitution u = 4x + 1, evaluate (4х + 1) dx +x + k 4x? + x + k (4x + 1)² + k x' + x +…

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Q: Integrate the following: ,S (x4 – 5æ³ + 6) dæ - 1. So(1- r)*dz su(1– 2.

A: These questions are related to indefinite integration, we will use use integration formulas and…

Q: dx Evaluate S o 9x2+4

A: Solution is given below:

Q: 10. If h(x) = In(2 – 3x)5, find h' (0) - А. В. 15 С. 2 D.

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Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC

Q: 6. 81n V81 - 81 – x²dx 4 A. Show that B. Use (A) to evaluate In 4 (e2x – e*) /81 – (e* – 1)* dx. - -

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Q: Compute the following. 7/9+15x³-9x d [ 3x 37x3+5x²+3 dx

A: We have to find derivative

Q: dx Evaluate xV x2 - 4 TT 2 4 O O

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Q: 6 - The sPecial sotutron to the ९१५चमूं० . 22 2X P 04 d/other than that

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Q: + 4 (A In(x² + 4) + C B arctan() + C (C) jarctan(;) + C -arctan() D arctan () + C

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Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

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Q: 9. In OP, QR = 7x – 20 and TS = 3x. What is x? -

A: Joining QP and TP, we get the radius of the circle.

Q: Which of the following is Inx – 6x + 18| + arctan(- (x – 3)) +C equal to? 2 – 6x + 18 x - 3 V 2 In…

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Q: 2ť coslatray) 5t"Sim latr34) +Sing-e 4 限-0

A: Let us consider the differential equation of the form Mdx+Ndy=0 Firstly check the equation is exact…

Q: C. USING SIMPSONS 1/3RULE WHEN N=10 AND N=15 1 0 x√1-x² dx

A: using simpson 1/3 rd rule for n=10 ∫abf(x)…

Q: 8. f(x) %3D In (3х * — 5х?)5

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Q: 45. Find x in 32/3 = 9*. %3D A. 2 C. D. B.

A: The given equation, 323=9x

Q: 16 3t 9. dt. Enter your answer as an exact fraction if necessary. Evaluate

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Q: Solve for nif n Py=60(nc)

A: We know that nP4 = n!/(n-r)! nCr = n!/(r!(n-r)!)

Q: 2r+1 if the values of x, y is O none O x-1,y32 O x-2,Y3D2 O x=2, y =1 223

A: Two matrices are said to be equal matrices if they have the same order ( dimension) and the…