b.) 2y dy = (3y² cot x + sin x cos x) dæ

Q: (d) Find the angles within the range -180<e<180 which satisfy the equation sin30 =-2 cos30. (H.W) 1…

A: As per the company policy i can answer only first question for you, More than that leads me towards…

Q: Find y' and y". y = cos?x

A: The given function is y=cos2x To find: y' and y''

Q: 2. (b) Q 3 p sin фа, + p'zag +z cos ф a,

A:

Q: Which of the following is not true? a) cos?t+ sin?t = 1 b) csc?t – cot?t = 1 c) cos?t– sin²t = 1 Qd)…

A:

Q: Solve the following equation. sin u cos u = 0, 0 … u 6 2p

A: Here, sin (u) cos (u) = 0 By using zero product property, sin (u) = 0  or  cos (u) = 0,

Q: 13) The positions of two particles on the s-axis are s1 = sin t and s2 = sin t+ with sj and s2 in…

A: Solution

Q: Solve the following equation for 0 on the interval [0, 2n). V3 cot (0) %3D 3

A: cotθ = -33

Q: Given z = 2 cos t + 26 and y = 5 sin? t dz dy dy dz

A: Derivative of function in parametric form

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A:

Q: S sin? (;z)d.

A:

Q: If cos A with A in QIV , find sec %3D a. sec | b. sec 2. с. sec A d. sec 4-5 %3D A sec e. A2 1/2 II…

A: Since you are asking multiple questions. We are answering only the first question. Given, cosA=18…

Q: b) Describe, the motion of a particle with position (x,y) as t varies in' tthe given interval X= 5+…

A:

Q: Given that z = 4 ( cos· 4 +i sin) and w = 1 – iv3. Find 4. %3D a) 2 w b) E c) arg (-), in radians as…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Q(1) Find [cot( cos-(x²)] dy

A:

Q: Given the set of equations w = - x - 1 x = tan v Which of the following is dw/dv? The answer does…

A: Given that w = x/(x-1) and x= tanv . We find dw/dv or derivative of w with respect to v . Here i…

Q: has at least one solu Prove that the equation r+ sin(x) = VI +3 %3D (0, т).

A: Here we have to prove that,  x+sinx=1x+3⇒f(x)=1x+3-x-sinx has at least one solution in the interval…

Q: The values of C, and C2 so that y(x) = C, sin x + C, cos x satisfies the following conditions: y(0)…

A:

Q: Solve for the exact solutions in the interval [0, 27). Separate solutions with a comma. If the…

A:

Q: Obtain the general solution to the equation. 2. (sin? y + x cot y)y' = 4

A: solve the above differential equation.

Q: 3. What we want to do next is write (x + jy)as Reie where R= J(x? + y? ) and tan-(e) = (2)

A:

Q: (a) , f(r cos 0,r sin 0 )rdrde

A: Answer and explanation is given below

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A:

Q: given the following non linear equation f(z)= -z + cos(z) on [0.5, pi/4] and using secant method of…

A: Given the following non linear equation

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A: prove is following...

Q: The position of an object attached to a spring is given by s (t) = cos(4t) — —sin(4t), - where t is…

A: The position of an object,st=14cos4t-16sin4t on the interval 0&lt;t&lt;3

Q: 3. Find all angles 0 between 0° and 180° satisfying the given equation. V3 A. sin 0 = 2 B. cos 0 = 2…

A:

Q: 41 cos t dt = 1+ sin?t /2 If q sec e de, then a = b = and q =

A: Solve the integral in the following way:-

Q: given the following non linear equation f(Z) = - Z + cos(Z) on [0.5, pi/4] and using secant method…

A:

Q: 3 Evaluate y cos (z') dx dy dz

A: Explanation of the answer is as follows

Q: B)Get the private answer of the following equation. L(y) = t?e5t + te-t sin(2t) + t³e=2t + 7 cos t .

A:

Q: Given that (-) x sin-1 -1 = COS eya. dy in the terms of x and y. dx Find

A: Given: xsin−1⁡1y=cos−1⁡eyx Since, dsin-1xdx=11-x2 and dcos-1xdx=-11-x2

Q: 3. )Find t cos 20atdt =?

A:

Q: Use the method of undetermined coefficients to solve the differe equation dy + ay = cos br, dr?…

A:

Q: Calculate the length of the side XY given the following data for 29: Sin 29 = 0.485 Cos 29 = 0.875…

A:

Q: 4. Given x = 2 cos (6) and y = 2 sin(0), for 8 € [0, π] Eliminate the parameter to find a Cartesian…

A: Here, the given parametric equation is: x=2cos(θ), y=2sin(θ), for θ∈[0,2π]

Q: Find r′(t). r(t) = 3 cos3 ti + 2 sin3 tj + k

A: Given that, rt=3cos3ti+2sin3tj+k

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A:

Q: Show that the DE is exact, then solve it. 2.a²y' + 4.xy = 3 sin x, y(27) = 0

A: Let us consider first order differential equation dydx+P(x)y=Q(x) The differential equation is…

Q: 2 If cos t : and t is in the 3rd quadrant, then cot t = 8 %3D V60 2 V60 8 2 V60 8 V60 O V50

A: Given:- cos(t) = -2/8  To find:- cot(t) in iii quadrant

Q: Show that d?y dY + cot o- +a(@ + 1)Y = 0, 0 < 6 < T, do is transformed into Legendre's equation by…

A: Given:

Q: 7T then use the rectangular coordinates of P(t) to find sin t and cos t. If t = %3D 4 sin t = %3!…

A:

Q: If cos t 4. and t is in the 3d quadrant, then cot t= || 4 V65 V65 4 6. V65 V65 4 V65 9.

A:

Q: Which of the following equations has solution = = f(cos(x- y)) ? Ob. + 2:, +, =0 , =2:,:, Od -2:, +…

A: Differentiating the equation and try to eliminate variable to form differentiation equation.

Q: find an eguation in X, y r Cos e 25 r Sin@= - 2

A: The objective is to find an equation in x, y.

Q: Tt I T 27t 3n 5T Which numbers in the set {0, , Tt, 2n are solutions to the 4'3 following equations?…

A:

Q: 1. Given y + 0=90°. Find the measurement of angle 0 in the triangle below using cofunction…

A: Given,

Q: in the interval [0, 2pi). a.   cot2 x + (suare root

A:

Q: Find the solutions of the equations that are in the interval [0, 2pi). a.   cot2 x + ((suare root…

A:

Q: 2. 16 4F6 Sin O how far is the directrix from the pole poce

A:

Q: 2. Given 0 < 0 < 2n, what are the extraneous solutions for the equation tan 0 – sec 0 = 1? %3D

A: Given: tanθ-secθ=1; 0≤θ&lt;2π We know that sec2x-tan2x=1…