Select all true statements about the DE y" +3y' +2y = sin t. O A. It has complementary function y(t) = Cje- + C2et. -2t OB. y(t) = -3 cos t 10 sin t 10 is a particular solution for the DE. 3 cos t 10 sin t Oc y(t) y(t) = is a particular solution for the DE. 10 3 cos t 10 sin t y(t) = + Cje2t + C2e'. O D. Its general solution is E. It has complementary function y(t) = C1e2t + C2e'. -3 cos t y(t) = sin t 10 + Cje=2t + C2e-t. F. Its general solution is 10

Q: If sin(x + y) = -sin x + = sinx 2 OT 2 K|M 3 k|4 24 6 -cos x, what is the value of y? 2

A:

Q: Solve the following DE: (r+sin-cose) dr+r(sin+cose)de=0 O r²+r(sin+cos) = C Or+2r²(sin-cose) = C O…

A:

Q: tan e de (1+ In cos ele

A:

Q: 47' sin z = x³ . cos z + sin z - 3z² Select one: True False

A: Given that d(x3 sinx)/dx  . Here we derivative of this question with respect to x. We know that…

Q: Show that D^2 = {(x, y) ∈ E^2: x^2+y^2 ≤ 1} ⊂ E^2 and the space containing a single point are…

A: In algebraic topology, two topological spaces are said to be homotopy equivalent if there exists a…

Q: cos t 1-sin t sect + tant

A:

Q: Veridy that x - T -Ž ?I ti) e -n4 sin (nx) and 00 -n sin (nx) are equivalent .

A: The Fourier series expansion of x3-π2x in the interval -π to π is given by…

Q: 1. Calculate ln(-/2) and acos(2).

A:

Q: 10. Prove that 7/2 sin 8 cos (cos a cosec 0) de =- (1-cos a). CO TE/2-a

A: We will use the Differentiation under Integral sign method, to solve the problem.

Q: sin(0) = - 2 V3 csc 0 = 2. cos 0 = -. Cos O sin 0 cos 0 = 0.

A: Please refer the attached image for complete solution. THANK YOU.

Q: If sin(x+y) - - sinx + 뜰 conx, what is the value of y? O 0 이용 6

A: Topic = Trigonometry

Q: 10. Prove that 7/2 sin 0 cos ! (cos a cosec 0) d0 /2- TC (1-cos a). COS

A:

Q: 6. Prove that: ah cos (i) A sin (ar + b) = 2 sin (ah sin a (ii) A cos (ar + b) = - 2 sin

A:

Q: Compute | cos z dz. cos z +C 3 cos a + sin z +C 3 sin r + cos x +C 3 Cos x - sin I sin z + 5 sin x…

A:

Q: Compute cos æ dæ. cos x +C 3 cos a sin x +C sin r cos a + cos x +C sin a +C 3 sin r + sin I 3 sin a…

A: Given, ∫cos3x dx We can write it as by using the trigonometric identity as, cos2x=1-sin2x∫cos3x…

Q: 2. (a) Show that V3 cos x-sin x COS where 0<x<2r . 2 (b) Using the result in (a), solve the equation…

A:

Q: Prove:  cos(π   + x)        2             =−sinx     Please write clearly thank you.

A: We have to prove that cosπ2+x=−sinx. Use formula cosA+B=cosAcosB−sinAsinB Here, A=π2 and B=x Hence,…

Q: y = cosx sinx

A: Given query is to the derivative of the expression.

Q: 'ain(t -플)') co여(t- dt

A:

Q: ,(xsinx+cos.x)x'cos"x - x sinx + cos.r cos³ 3 dx x°cos?x

A:

Q: In e ex 2. dx e2x + 1 In 1

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

Q: Solve SS sinedx dy=

A:

Q: 3. Express into standard form: = = 8[cos (-5) + + sin(-5)] Z i 3 3

A: Solution

Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: It is convenient to write 2(o) in the form z = ² sin² p, use the fact that 2'(x) = 2'(o)/x'(o) and…

A: We write the given  work out in  more details.

Q: Rocky Mountain Chocolate Factory (RMCF) founder and president Frank Crail employs 220 people in 361…

A: for net price  equivalent rate determine first find the complement of the chain discount rate…

Q: Question. Express the real part of each of the following signals in the form Ae cos(@t + 6), where…

A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and…

Q: the value of (yn)o If y= Sin (msin , find

A: Given that We need to find the value of