By expressing the product as a sum, 6sin (2x)cos (3x) = ? Select the correct answer below: O 6cos (5x) + 6cos x O 6sin (5x) – 6sin x - O 3sin (5x) – 3sin x 3sin (5x) + 3sin x

Q: |(4e + 5z* – 3 sin z)dx- O 4e² – x³ +3 cos x + c O 4e? +x³ +3 cos x + c O 4e² +x³ - 3 sin a + c O…

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Q: The second derivation of y = cos(2x)

A: Given  y = cos(2x)   ........ (1) We know that  d (cosx)dx= -sinx        ........ (a) and  d sinxdx…

Q: Σ n=1 (-1)"-1 √2n – 3

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Q: - 75ec 3x+tan 3x(sec 3x+tan 3x) cos 3x dx (7sec 3x+tan 3x)In 7 + C 7secax+tan ax + C 7 In 3 3 O c B…

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Q: Ex:. Find the fourth roots of Z=-di Say no 4 K = 0₁12₂3

A: given z=-8i To find the fourth root of the given complex number proceed as follows comparing the…

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: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +…

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Q: 5-A] [CLO 1] Suppose that x, y, z € R. Expand the expression so that it is written without…

A: The expression is given as  (2x+3y+1)(8x-5y+3x+5).

Q: O Given 2= 3 - 2i, w= 1+ 4i Find the @ 4w- 2z 13

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: | 12 csc² (62) cot(6) dæ = 12 csc (6x) cot(6x) dx : (Use Substitution Method) %3D 12 12 +C 12 sin?…

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

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Q: Evaluate L{3 cos 2t} 3s S а) s2 + 4 b) s2 c) s2 + 4 d) s² + 4 4 a O d

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Q: what is written after 2xy - 2sin(y) in part i.

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Q: Find (e3x + 5sinx)dx. -e3x +5cosx +C O a. 3 e3x+1 -5cosx + C b. 3x + 1 e3x -5 cosx + C OC. -e3x -…

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Q: Multiply. V3 cis (똥). 유cis () 4 o B cis (3) 3/2 8 2/3 8. cis () o 좋 cis () 3/2 8. 31π 18 2/3 cis (중)…

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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: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: Find the solution for L{e-3t(cos(5t) – sin(5t)}. Find the solution for L-1{E + 10}.

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Q: Simplify - 2sin(2 – x)cos(2r + 1). O cos(x + 3) – cos(3x – 1) O sin(1 – 3x) – sin(x +3) O sin(3x –…

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Q: Evaluate cos (x (x2 – 2x + 1) (2x - 2) sin (x 2 - 2x +1) (2 – 2x) sin (x? – 2x + 1) O (2x 2) cos (x-…

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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{cos² 3t} s² – 18 a) s(s² + 36) s2 – 18 b) s(s² – 36) s² + 18 c) s(s² + 36) s2 + 18 d)…

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Q: 18. Evaluate fe³x cos 8x dx e3x a. [8sin 8x 3 cos 8x] + C 3x b. [8sin 8x + 3 cos 8x] + C 73 C. d.…

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Q: Evaluate L{3e cos 10r cos 41. S+1 s+1 A. 2 (s+1) +16 (s+1) +100 S-1 S-1 B. 2 (s-1) +16 (s – 1) + 100…

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Q: (Dª + 5D² + 4) y = 0 a. y = c1e“ + c2 cos x + c3 sin x + c4e¯ b. y = c1 cos x + c2 sin x + c3 cos 2x…

A: To find: The general solution of differential equation D4+5D2+4y=0. Given: The differential equation…

Q: cos(0) COS dx os(8) + sin(0)

A: I=∫0π2cosθcosθ+sinθ dθ       →1 Now, ⇒I=∫0π2cosπ2-θcosπ2-θ+sinπ2-θ dθ    ∵∫0afx dx=∫0afa-x…

Q: Find the particular solution of the given ODE.* ( y − √√x² + y²) dx − xdy = 0 when z = - √(x² + y²)…

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Q: Evaluate J J-36z² dz 1 sin (5æ) + C 6. O_ 1 -1 sin (6x) + C O_1 sin (5x) + C 6 -1 1 Osin1 (6x) +C 6.

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Q: Which of the following is equal to P (3r² + In(5x) – sin(r))? dr 5 (a) 6x +- + cos(r) (c) r + +…

A: Here given  ddx3x2 + ln(5x) - sinx Therefore , now calculating derivative of given function we get…

Q: Evaluate [cos² ydy a. 1/2y + 1/4sin2y + c c. 1/2y + 1/2sin2y + c b. 1/4y + 1/2sin2y + c d. 1/9y +…

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