e sin(5a)cos(8z) cos(5z)sin(8z) = 0.85 for the smallest positive solution. ve your answer accurate to two decimal places. uestion Help: Video Submit Question Jump to Answer

Q: Cos“ 2t osh wt sin wt e2t sint

A:

Q: 3. (cos x cosy- = cot x) dx - 'sinx sin y dy

A:

Q: How to compute Cp using below equation, OP, sin 0; Cp, = 2 sin? 0; +2 cos 0 dy dy Where y = 0.5x…

A: To simplify: CPi=2sin2θi+2dθdyisinθi∫0yicosθdy

Q: Find the value of the constant A so that y = A sin 7t satisfies the equation + 2y = 4 sin 7t. dt2…

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Now

Q: 6. Identify the proper trigonometric substitution and then solve the integral 1 dx (x² + 1)²

A:

Q: n RL circuit has an emf given (in volts) by 4 sin t, a resistance of 100 ohms, an ductance of 4…

A:

Q: 2y у'+ — х?у? sin x %3D

A:

Q: n on the interval 0 < e s 2 T- Solve the equation sin2e- cose

A:

Q: 04: S+* + 1)sin z dz =

A:

Q: 9. The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes…

A: See this solution in below.

Q: 2. Determine (i) L # (ii) fe-" sin tdt. (iii) S dz

A:

Q: Original Sound ff EXERCISE dy -x = x2 siny dy 3 -(-siny ANSWER: X = %3D

A:

Q: (a) e3 sin 2x da sin 2r (b) x* In x d.r (c) sin r cos rdr 3. (6)

A:

Q: (T/2 cos® x dx Determine the reduction formula for cos" x dx and then find

A: Given, ∫cosnx dx∫0π2cos6x The reduction for the above integral will be,   ∫cosnx dx=cosn-1x sin x…

Q: cos(3t) sin(8t) dt

A: we use  2 cos A sin B = Sin(A+B)-sin(A-B) sin(-x)= sinx

Q: Find d²y/dx² of Y= x cos (5x)– sin? x

A: Given: y=xcos5x-sin2x

Q: e) S̟ =Č(-1)" sin³(;+n£) Vn+1 n=0

A: The solution are next step

Q: L[(sin2t+cos2t)² + et sinh(10t)]

A:

Q: ∫cos(3t)sin(8t)dt

A:

Q: 2a's at L{sinh at sin at} = (s* +4a*)

A:

Q: solve following differential by finding an appropriate integrating factor cosxdx+(1+2/y)sinxdy=0

A: Solution -  We have the given expression as -  cosx dx + 1+2ysinx dy = 0 1+2ysinx dy = -cosx dx…

Q: i sin°Hcos* () .3x, sin°cos* dx 10. 3 10

A:

Q: Q/ solve the differentil-equation ty-f'sinx-x)+(3xy+2y.cosx)

A: We will solve the problem.

Q: ez² cos(z) dz .

A: In this question, we use the Cauchy theorem for f(z).

Q: 2T -TT Evaluate: S. (sin x + cos y)dx dy II SII 71I

A: Let give integral is equal to I

Q: The antiderivative of Cos(3x)

A:

Q: O Find the values x where fe) = t-2 24 cos(2t) has a local min fmax.

A:

Q: Solve fllowing D E the y+4y= Cos x- sin X

A: Recall the trigonometric identity: cos2x - sin2x = cos2x Hence, we are necessarily trying to solve:…

Q: tegral 1 -r³e"la0 cos²e ,² dr sin@d0 ¢ do = x 32πα x = ? %3D

A:

Q: cos x )y+y'= e^(-sinx) solve the dif eq for the problem above  thanks

A: Given that  (cos x )y+y'= e^(-sinx)

Q: 1 (s +1)(s² + 1) - cos t + sint) + cost – sin t) Option 1 Option 4

A:

Q: 3. S sin? (2t) cos³ (2t) dt 4. ſ tan³(3x)dx

A:

Q: if x is in quadrant 3 and cos (x)=-3/5 find the  exact values for g-i

A: If x is in quadrant 3 then x/2 is in second quadrant.  In second quadrant sin is positive but cos…

Q: c. Find approximation of the value cos(65") with error less than 5 x 10-5.

A:

Q: 0 sin√xcos√x √x dx is equal to

A: To solve the given integral

Q: Y Snow that cos30 = 4 cos'0-3 cost, Hence or otherwise. a. Find all solutions of the equation:cos 30…

A:

Q: tep 4 After integration by parts we have cos(40) de = e38 sin(40) de-

A: As in the question we have to find the integration of the two functions which we can find out by…

Q: sốn ² sin () cos() sin() dx (Consider initially the first 2 terms)

A:

Q: t/2 SL cosx/1+ cos²xdxdy is equal to 0, siny

A: Consider the iterated integral, ∫ab∫f1xf2xfx,ydydx In this iterated integral, the integration is…

Q: 3 Cos |X TT 13) y = 3

A: We need to plot the graph of given curve:

Q: Test for exactness and find the general solution. (2xy – sin x) dx + x²dy = 0

A:

Q: 2 cos e de 2 V1 – sin 0

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The given indefinite integral ∫1+cos4t2dt can be evaluated as, ∫1+cos4t2dt=∫1+cos2tdt…

Q: The respiration rate R (in litres/min) of a boy can be modelled by the equation R=6-3 cos- -t ,…

A: We know that cos(x)≤1