3 6. Show that [[[ y sinzdxdydz = (1– cos1). 2 COS %3D 00

Q: Which of the following is a proper substitution for the following Bernoulli's equation 3 e-3x y 2x³y…

A: We have to find the substitution for the given Bernoulli's equation.

Q: 10. Find the exact value of cos 2x given that cos x =

A:

Q: We have 27 Cos (u) du= and converting back to an expression in X qrues us

A:

Q: 9. Let r = 3 sin tî + 3 cos tj + 4tk. Calculate N

A: Given r(t) To find N(t)------ unit tangent vector

Q: 3. Find . a. y ( +2r + 10) cos(r)

A: Find the derivatives of the given functions. Use the derivative formulas:…

Q: 9. Evaluate. Give the exact answer, not a rounded off decimal. a. tan−1 (√3) b. sec (sin−1 ( 5 13))

A:

Q: Show that 0 π/2 st sin? xdx TT/2 [ 0 cos? rdr 2

A: A detailed solution is given below.

Q: e sin (e^) cos" (e*) c 6. COS

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Q: Calculate A2. Use the trigonometric identity sin?(0) = ÷(1 – cos(20)). 1 A2 (6 sin(0))² do %3D 2 *…

A:

Q: 32. a. b. f cos(4sinx - 1) cos(2sinx + 8) cosx dx is sin(6sinx + 7) − sin(−2sinx + 9) + C 1 1 12. 1…

A:

Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI

A: Given : sin x = 3/5 and tan y = -3/4

Q: Q2. Evaluate $. dz where C is: (z2+1) cosnz Ay 3/2 1. Iz – 2i| = 0.5 2. %3D -1 1 x |-1/2

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Q: 2. Find cos ec (In x) dx . x1+ cot(h x)

A:

Q: 3 3. Find the value of cos(2x) given that sin x = -and x is in QII.

A:

Q: C) Find a z and of xy" ay (xy2) - -군3 COs %3D

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Q: Find all solutions to the following equation on the interval [0, 27]. .cOS X

A: Here, we need to find the solutions to πcosx=π. So,…

Q: Let w = x*y cos s(4z). Find the following.

A:

Q: Find the domain and range of the following: 1. y 3 cos (x) 3. y = -4 sin (x + ) + 4 5. y = sin (3x +…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: 4. In each part below, find dy dx a. y=x³ +5* +55

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 8. Simplify the following: 1+ cos2x sin 2x

A:

Q: I sin r cos xdx. 6. Evaluate sin ¹3 3

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Q: 4. Show the following: a) L{cos(at)} = b) L{sin (bt)} = s²+a² b (b²+s²)

A:

Q: 10. Complete the following equation. sin (a-B)=sin a cos ß cos asin ß sin (a-B)=sin a cos B (1)-…

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Q: .  If tan(t)≈2.7, tan(t)≈2.7, and sin(t)≈0.94, sin(t)≈0.94, find cos(t).

A: For right angle triangle containing base, altitude, hypotenuse and angle x. Tan x = altitude / base…

Q: d 1. Evaluate: dx [V5 5+ (x° + 1)³ d cos* x + sin* x dx 4 4 2. Evaluate:

A:

Q: Sketch the following signals: 1.1.1 xn]=2 sin(32). 1.1.2 xn] = 4 cos(m – 2). TTn

A: The signal is xn=2sin3n. For each n, sketch as follows: