Which of the following expressions is equivalent to In(2z + 1)°e*-?)? Choose one answer O (r – 2) In[(2a + 1)*] O 6 In(x) + 3 ln(1) + 2 – r O 3 In(2x +1) + x - 2 O 3 In(2r + 1) + In(x – 2) O 2(1n(2) 1n(1)

Q: 4. For n E N, n ≥ 2, find a formula for İ(¹-) j=2 and prove that your formula is correct. Note: This…

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Q: -227 z = a – 21 such that arg(2) : Let Then the expression Ln(2) can be written equivalently as:…

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Q: (4x -1-7) dr– (5x - 21-8) di = 0, when 1 = 1, x = -2 D (x-1-1)' = 8 (2r-t-3) O (5x - 21 - 8) = 3 (2x…

A: (4x-t-7)dx-(5x-2t-8)dt=0 when t=1, x=-2

Q: Given the following linear system of ODE: V₁' = 4y1+2V2 V₂' = 10/1-4/2 what is the type of the…

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Q: Question 8: a. b. 12 (5+3)*(S²+3) 18 (5+3)*(S²+9) 6s C. (s+4)*(s²+4) d. None of them L(sin…

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Q: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

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Q: Evaluate f 2х-5 dx x(х-1)3 O A) I DON'T KNOW B) 5 In|x/(x-1)|-5/(x-1)+3/(2(x-1)² )+C C) NONE OF…

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Q: Question 10 xdx Evaluate the integral : 6x²–1 (A A 121n|6x²– 1|+C B - 121n|6x²- 1|+C D 12

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Q: dx. sin(2x? + 1) Evaluate In|csc(2a? + 1) –- cot(2a² + 1)| + C 4 O - cos(2x? +1) + C O 4 ln|csc(2a?…

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Q: Express the following in the form In(x + a) + ln(x − a) + ln(x² + b), with a, b = N: In(x¹ − 1) = |…

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Q: √__(x+1) dx (x+2)(x-1)² 1 9 3 2 0-11/11 - 01/17 9 3 2 3 1 2 9 3 -io 1 9 - = 1[ A B + x+2 x-1 + C…

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Q: Evaluate , 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.  dydzdx dzdxdy…

A: Let us consider the triple integral I=∫E∫∫f(x,y,z)dV then the integral is of the form…

Q: By expressing the product as a sum, 6sin (3x)cos (5x) = ? Select the correct answer below: O 6cos…

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Q: + 2x Compute dæ. O 3(z+z²) +C 1 1. I미 피 + C 2 O x +2 ln |æ|+C

A: Given: I=∫1+2xx2dx

Q: x² - 4 This integral dx evaluates to: x(x² + 1) O a. None of the other answers are correct. O b.…

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Q: Solve the First ODE (3y* – x*)dx = 3xy'dy || 4-4ln(2x)+c А-у %3D 4 4-4ln(x)+c B- y = 2 4-4ln(x)+c C-…

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Q: 2 DO NOT USE A CALCULATOR IN THIS QUESTION. Find the positive solution of the equation (5+4/7)x²…

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Q: Solve the following Exact ODE

A: This is a problem of DE.

Q: cos(3rk) In k 5k k 1

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Q: 43x+4 dx is equal to 1 x3+4x { A } In 8 {в } In 64 {c} In 25 {D} In 1E

A: Given query is to find the the value of the integral.

Q: Solve In(x - 4) - In(x) = In 4 Select one: a. -2 O b. 2 c. 3 O d. 1

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Q: 1 2 0 The product of two matrics 2012 is 10 2x Oi 4 X 2x 1 [4 x 2x] [412] 3. 4

A: This question is based on Matrix multiplication.

Q: Given: a = 2 – 3t + y = 31 - 2 Required: , 3/", y" (Select the correct answer for each y, y", y"…

A: Given the function

Q: Select all the expressions equal to pr ry Op.z: (r· y) O (p - x) ÷r. Y Op z÷r.y Op: O (p r) ÷ (r ·…

A: The expression is given by p·xr·y

Q: Evaluate L{3(sin² 2t )} 24 24 24s 24 а) s(s² + 4) b) d) s(s² + 16) s(s² + 16) s(s² – 16) a O Option…

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Q: Question 4 Evaluate f 5n (53 In z 1江+ c) 12 In 5 O(53 ln + c) (15m z +c) 12 In 5 4 In 5 (5 m+ c) In…

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Q: Show that T 9²²-x² dx ча In atx a-x +C

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Q: Which of the following is/are equal to 13 dr 1+æ4 You may find the following formula useful B(m +…

A: Use improper integral

Q: Given w = xex + ln(x²yz3) Determine дш дх O дш дх δω дх ди дх дш дх = ex(1 - x) + = xẻ +1+ 11 N|X 2…

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Q: Compute In (7x) [² O 7(ln(7x))2 2 X + C ○ (ln(7x))² 14 O 7(ln(7x))² + C O (ln(7x))² 2 + C + C O…

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