uesuon o of 8 Determine the general solution (du/dt)3-(du/ dt) "2-2u = Select the correct response Ou-cte't+e't (c2 cos t+ c3 sin t) Ou-cte't+et (c2 cos t+ c3 sin t) none of the choices Ou-clet+et (c2 cos t+ c3 sin t) u-clet +et (c2 cos 2t + c3 sin 2t)

Q: f'uo) -22:2294 W = 0.4748 2nd Stetzation flui) = fla4748) = 31e flui)= 0.0044 f'ni)= flouT48) = -31e…

A:

Q: 13. To evaluate f 3cos*x-1 dx. the integrand can be transformed to 1-sin2x a. [(3cos x+ csc²x)dx b.…

A:

Q: evaluate the integrals

A: since you have posted multiple questions , so I'll solve first one for you, for rest question's…

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A:

Q: Use Table 5.6 to evaluate the following indefinite integrals.∫dx/√(36 - x2)

A:

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A:

Q: Find the general solution of y(4)+y'' = 3t2+4sin t-2 co

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Given:  Calculation:  Let ln(p) = u Differentiate both sides (1/p)dp = du Also the limit of…

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A:

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A:

Q: The integration expression + 4)cos(3ln(x) +4)dx must be transformed into using suitable choice of…

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A:

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Consider the following integral: ∫0π8cos2xdx Use the following formula to solve above integral:…

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Consider the following integral: ∫23xx2-13dx Substitute x2-1=u→2xdx=du→xdx=12du in the above…

Q: 8. -dt 1+64t 2 sin-8 B. А. (). -1 2 tan 2 tan- 8 O c. D.

A:

Q: esin 2x [In (cos 2a)]? 2esin 2( cos 2x In (cos 2x) + 2 tan 2] 2esin 2a (cos 2x ln (cos 2x) + 2 tan…

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Evaluate: ∫02x316-x4dx            ...(1)

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A: We have to evaluate ∫dx1+4x2 Given integral can be written as: ∫dx1+4x2=∫14dx14+x2=14∫dx122+x2 From…

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A: Given: ∫x6-3x24x5-xdx

Q: Use Table to evaluate the following definite integrals.

A: Given: ∫0110xdx

Q: 3. On (-∞, ∞), three functions y₁ (x) = cos 2x, y₂(x) = sin² x, y³(x) = cos² x are linearly…

A: Note: As per the guidelines we are supposed to only one answer because this is not a subparts…

Q: 2 tan(4x-1)-3 cos²(4x-1) If we let u = 4x – 1 for the S dx, what will be the resulting integrand?…

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: ∫ex3+2exdx Put, 3+2ex=t⇒0+2ex=dtdx⇒2ex dx=dt⇒ex dx=dt2 Therefore,…

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: To evaluate: ∫0π2sin2θ cosθ dθ Solution: Let substitute t=sinθ dtdθ=cosθdt=cosθ dθ Limit will also…

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A: Given integral is:

Q: cos 3z 3 cos 2z cos z = 2

A:

Q: sin 4t sin 2t dt 1 sin 6t + C 12 cos 6t + C sin 2t + B) sin 2t 1 · sin 6t + C 12 D) 1 sin 2t + C 12…

A:

Q: Find y' where y = 8 cos-1 (sin (19 z)) – cot-1 (14 z) Answer: 14 y' = -152 1+196 z2 -152 cos(19 z) +…

A: This question belongs to derivative of inverse trigonometric function.

Q: Given below is a complete solution of differential equations. Identify all LINES in the solution…

A: In the given solution of differential equation we have to find out the errors :-

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A: ∫dx36-4x2

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A: Definition used -                 U substitution -                     ∫f(g(x))g'(x)dx =∫f(u)du ,…

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Since, we have to calculate:-∫-2π2πcos(θ8) dθ -(i)

Q: Use Table to evaluate the following definite integrals.

A: The given integral is ∫0π40cos20xdx   formula used: ∫cosaxdx=1asinax+C

Q: Use a change of variables or Table toevaluate the following definite integrals.

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: The given integral is ∫04p9+p2dp. Let x2=9+p2. This gives  2x dx=2p dpxdx=pdp. when p =0,  x=3. when…

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: To evaluate the given integral, ∫lnπ4lnπ2ewcosewdw. Solution: the integral is ∫lnπ4lnπ2ewcosewdw…

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A:

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A:

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Given, The definite integral ∫1249x2+6x+1dx.   To solve: Using change of variables or using table…

Q: 30 csc (3x) cot(3x) dx (Use Substitution Method) 30 30 + C 6 cos² (3x) 6 30 30 + C 6 sin²(3x) 6 30…

A: Given that  I=∫ 30csc23xcot3xdx We need to substitute the appropriate value so we can solve it…

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: The given integral is ∫012x4-x2dx

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A: To evaluate the integral: ∫ew36+e2wdw Solution: Let substitute t=ex Differentiating both sides, we…

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Given, I=∫25325dxx25x2-1

Q: 26 csc (2x) cot(2x) dx (Use Substitution Method) 26 26 + C 4 sin (2x) 4 2 26 26 + C 4 sin? (2æ) 4 26…

A: Integration.

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A: Given     ∫(x+1)42xdx Formula ddx(xn )=nxn-1 ∫xndx=xn+1n+1+C

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: the given integral is: ∫04xx2+1dx we have to use a change of variables or table to evaluate the…