d. r = 1+2 sin(0) e.r = 3 cos(20) -2- -3 -4+ 4+ 3 -4 -3 -2-1 2 3 4 -3 -4+ -4 -3 -2 4 -3 -2 -1 2. 3. 3.

Q: 3. Obtain in two ways the general solution of (r + sine - cose ) dr + r (sine + cose ) de = 0

A: Use substitution method

Q: The intersection points between the curves r = 3. and r = are 1-cos e 1+cose

A: The given curves are, r=11-cosθ                      ........(1) r=31+cosθ…

Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: (p² –1)cos[cosh (In r)]dr

A: In this question, we need to find the integral.

Q: Solve for the value(s) of x over the interval 0 < x < 360 2 cos x + 1 = 0 %3D

A: We have to find values of x over the interval 0&lt;= x &lt;= 360 of the equation 2 cos (x) +1 =0.

Q: cos 2x he ƒ -dx is 4+sin 2x {A} In|4 + sin 2x| + C {B} In|4 + sin 2x| + C {C}(4+sin 2x)² + C {D} -(4…

A:

Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

A:

Q: 4 sin' t cos tdt 4 sin"(t) cos (t) %3D

A:

Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the…

A:

Q: If z = +i then Im(coshz) A) –sin1sinh4 B) cos1cosh4 e* +e* C) cos1 2 D) sin1cosh4 E) sin1

A: Topic:- hyperbolic function and complex number

Q: a) (sinx + cos 2x)dx (+1) do b) S dx c) S (x+2)(x2-6x+5) 8 cot(In 8)

A:

Q: 10. 3 J√cos z sin ³ zdz COS

A:

Q: 3. Explain graphically: cos x dx = 0.

A:

Q: The integral (cos(3x)) sin(3x)dx under the change of variable u = cos3r becomes u du. Select one: a.…

A:

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

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

Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

Q: (x cos + y sin?)y – (vsin? -x cos?)* х — х COS = 0 Ans: xy cos = c (Lucknow, 1997; Kanpur, 1996)

A:

Q: 3 r = sin 0 + 6 cos 0 О За? + (у — 3)? —— 1 %3D 6æ² – (y – 3)² = 1 D y+6x = ! 1 3. Dy+6x = 3 у+ 3х —…

A:

Q: Find , where : = sin (a²) cos (y*) O 2.r sin (a²) cos (y²) O 2r sin (x²) 6.x sin (a²) cos (y²) 2x…

A: We have to find partial derivative of z  with respect to x.Given a function of two variables, ƒ ( x,…

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: Show that COS x dx a² – x² sin a 2а where a is some positive number.

A:

Q: p) S 64 cos4 2x dx A) 24 x + 8 sin 4x + sin 8x + C B) 64 x + 2 sin 4x + 4 sin 8x + C C) 2 sin 2x + 8…

A: Hence option (A) is correct.

Q: help!

A: Refer to the question, we need to sketch the provided function.

Q: Evaluate the integrals

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: =/4 sin z 23)/" dr cosr

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: e csc 20 In (ecos 2 ) Ince cos CoS 20 28) Sin2 20 OP

A: Given integral is ∫ecsc2θlnecos2θsin22θdθ since lnex=x, so lnecos2θ=cos2θ The integral becomes…

Q: Evaluate. S cos a In(secz)dr COS D

A:

Q: The integral So (cos(3x))² sin(3x)dx under the change of variable u = cos3x becomes - ov 29 9/29 u?…

A:

Q: Prove that: cos(nx) - cos(na) cos(x) – cos(a) sin(na) sin(a) dx = n neN, a ER - {0}

A: To solve this question take different values of n and calculate LHS and RHS separately.     if…

Q: Evaluate: / s r cos 0+r sin 0+5 (r cos 0) r dz dr d0 O 75¤/4 Ο 35π/4 О 65л/4 O 65x/3

A:

Q: 4) Find when y? – x² + cos(x + y) = 0

A:

Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

A:

Q: ) // Show that y + y = 0, given that y = 2 sin x + 3 cos.x

A:

Q: Which of the following is equal to s v² cos (v³)dv ? A sin 1 8 jsin 1 O Option 1 Option 2 D. sin C.…

A: The solution is Option B 13sin(1)

Q: 22 Evaluate s cos (Iz)e dz

A: Formulae used: ddxcosx=-sinxddxsinx=cosx∫eaxdx=eaxa∫cosxdx=sinx+C By party integration formula…

Q: Suppose x and y are functions of a third variable t. If sin-(x) + cos°(y) = = and dr dy what is the…

A:

Q: Find dr/dθ in sin (rθ) = 1/2

A:

Q: F.(3e-3 sin(2x')) is equal to 2 3. n 4+@² 3 cos 8 4 3. 7(1+o² 4 cos 4 4 1 3, 1 +4cos 4. 4 2 1+@ 4…

A: Use the following formulas to calculate the Fourier cosine transform. Fee-ax=2πaa2+ω2…

Q: Given: cos 3y + sin 2x 2 cos 2x 2 O -3 sin 3y-3 -2 cos 22-2 O -3 sin 3y 3 O -2 cos 2x-2 3 sin 3y 3 2…

A: Given: cos3y+sin2x=2x+3y To find dydx in the given equation.

Q: S 4 cos (x) sin (x) dx = %3D

A:

Q: cos(j. T/2) COS COS

A:

Q: 3) Show that y" +y = 0, given that y = 2 sin x + 3 cosx

A:

Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. Find and whenr = 1, 6 -: = 1, 0 =

A:

Q: -3 cos (2x)+sin(2x) in the form Rsin(2x+a)where R>0 and 0 <a<2n. Express

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 5 cos(a) sin (x) dx

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: y = C, sin at + C2 cos at, (a not to be eliminated)

A:

Q: 2 cos e de 2 V1 – sin 0

A:

Q: 6. In right ALMN with right angle at N, sin L 4x-0.22 and the cos M 2x+ 0.28. Determine and state…

A: Given; sin=4x-0.22 and the cosM =2x+0.28.

Q: de 2- sin(e) ( cos(e) de 1+cos(0) de 2- 3sin(e) de 3sin(e) + 4cos(e) + 5 de sin(e) + 3cos(6) + 3

A: SOLUTION Given ∫dθ2 -sinθ∫cosθ dθ1+cosθ∫dθ2-3sinθ∫d θ3 sinθ+4 cosθ+5∫d θsinθ +3 cosθ+3 we need to…

Q: Find cos (0 + p) given that cos 0 = and cos p = and that 0 and p are %3D between 0 and n/2.

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.