1. Find the DE of each of the following by eliminating the arbitrary constants. y = Get + C₂ cosx + C₂ sinx

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: Find the derivative of the function. y = cos (sin-1 x)

A: Derivative

Q: Which of the following values of x is a solution of the given equation? (5 cos(r)- 3 sin(z))² + 16…

A:

Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A: The given quantity is  sin(2π-x)

Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: 1 If sinx = and cosx < 0, find sin(2x). O 4 V6 25 2V6 O 2v6 25 O 4V6 25 O 2v26 25 4 25

A:

Q: 5 2. Find 21 22. Let z1 = 10 (cos +i sin 11 z2 = 2 (cos +i sin - 12 12

A:

Q: v the following function. y = 3 cos(x) +3

A: First translation is  Vertical Scaling of 3 units Then  Vertically shifting of 3units upward

Q: Find the value of x between 0° and 180° such that 2 sin(x+ 30°) = cos(x-45°). %3D

A: You know:

Q: 1. Eliminate the arbitrary constants of the equations below. y ==+c,x – Cos x + c2

A: Given differential equation is y=x26+c1x-cosx+c2. . . . . . . .(1) To eliminate the arbitrary…

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: 4. Derive the following formula: ° cos(ar) = cos(br) dx = (b − a) (a≥0, b≥0). - COS x²

A: Use Integration by parts to solve.

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: Find – 5 cos(0) cos³ (0) sin(20) de

A: ∫sin2θ-5cosθcos3θdθ

Q: 3. The equation that best represents the graph shown below is 4 -2 A. y = 4 sin(2x)+2 В. y =-4…

A:

Q: . Find the exact values of sin (–3π), cos (–3π), and tan (–3π)

A:

Q: Find a correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. X = Y 33° 98 38°

A:

Q: Solve for x, if0SxS2n, Write your answers in exact values only. 2cos x-cosx-1 0 11TT 6 > 6. 5TT 6.…

A: The given equation is 2cos2x-cosx-1=0,  0≤x≤2π

Q: 3T 3Tt and <B< 2n. Find a) sin(a +B) b) cos(a+r) 4.Suppose sina = – and cosß = 13 where π<α<. 2 35

A:

Q: Csc A V10 with A in QII find cos 2A. V10 If

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…