cos x . Use residues to evaluate I = -dx , (a>0). 2 2 x + a

Q: dy for y dx defined implicitly by the equation tan(x²y*) = 3x + y? 1. Find

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Q: dy -10 cos(z) Find for the function y dx dy dx

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Q: Solving for the dy/dx of the function below lea 5 y = 1- sin?

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Q: Cosx b) Jo esinx) x+1 dx, using the substitution u = sinx. 13. Find a) J1(x+1) e), (x + 1)e *dx.

A: In the question it is asked to solve question number 13.

Q: ay at the point (1, ). dx For the equation given below, evaluate x* + 9 - 6y dy at (1, 품) - ㅡ -- 61…

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Q: dy of the following. dx A. Find 1. y = (sin* x²)[sec(Sin-1 x²)]

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: d²y dy and - dx B) Find if x = sin? 3z and y = tan 3z dx2

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Q: sin(2x) dy for y = dx Find V2-25 dy dx

A: The required formula is ddxuv=vu'-uv'v2

Q: Find  when y = sin x.

A: Consider the following equation:

Q: dy dʻy dx? cos x = 3 when x = - dx Find the original function y given that and y = 4 when x = 0.

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Q: (cos y + 2)2 = 2x and y(1) = 0 what is x when y = n? %3D dx

A: cosy+2dydx=2x and y1=0

Q: y = tanh-(x) + sech-1 /1+ x²

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Q: y = sin x cos x. Find the formula for dy.

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Q: + 3r?y – y³ = 4, find dx Given sin

A: Given that sin (y^2/x^2) + 3x^2y - y^3 = 4. We have to find the value of dy/dx.

Q: d Given h(x) = = cos (sin (x)). Find dx

A: Given : hx = cossinx

Q: 5. Find (x +3)² dx, (be careful!) 5. e® + e¯ | cosh r de dx %3D

A: The complex form of integral can be converted to simple integral using integration by substitution…

Q: Can i get help step by step please?

A: Given function is

Q: 7x 21 dy dx\x=2 ,where y = %3D Find x+1 Enter the exact answer. dy dx\x=2 %3D

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Q: 3. x = y – y? sin x dx dy sin x

A: Given differential equation x(dy/dx)=y-y^3sinx Now we have find the solution as shown below

Q: dy and simplify the result whenever possible. I. Find dx 1. у%3 sec32х - 3sec2x

A: As per our guideline we have to write on question at a time kindly repost remaining questions. 1)

Q: SiSi dx dy dz Q4) Evaluate xyz

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Q: メ tan y.dx イ X" dう ニ ○ 2(ty')

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Q: 4 sec?x b) Find dx. V20 + tan x

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Q: rin 2 cosh x dx. Vsinh? r + 4 sinh r + 2

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Q: dy 5): sin(x+ y) dx

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Q: 些。x? dx z + 6 -4 y %3D хе ? dx4 with YLoI = 5,y'col =1, 9°co) --2 yiol e 007

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Q: Find dy dx 1. 2 y = coth(esinx) tan-1(oooh x3)

A: As per bartleby guidelines we only give first question answers.

Q: Find dy/dx of y=1/ (tan-1 x)

A: The given function is: y=1tan-1x

Q: 6. Find values for A and B so that Let y %3D +10 dy dx where %D A = B =

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Q: 5. S COS X 2+3sinx dx

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Q: 1 dx using the trapezoid rule with n=4 1+x d. Use your answers for parts a and b to estimate

A: Given the integration ∫0211+x3dx

Q: I"y= sin?t+ tant, x=- In(- cost)– e sinr, find the value of y whent=". 4

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Q: dy/dx of sec^2 (x^pi - pi^y)

A: To find the derivative of given function.

Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

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Q: dy If xy? + sin y + arctan(x?) at (1,0)? dx then what is the value of a) – 1 b) 1 с) 0 d) 2 e) – 2

A: The given equation is  xy2+siny+arctan(x2)=π4

Q: dy for y = 4 sin-1(x²). dx 2 (c): Find

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Q: dy 3. given, y = sin[2tan-V then find 1+ dx

A: Given function is y=sin2tan-11-x1+x

Q: cos (x) – y³ cot (x)] dx 3y dy = 0 |

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Q: 7. (1+ 2e"/»)dx + 2e*%» (1-) dy = 0

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Q: Solve the equation (1 + x cosy) dx - x²siny dy = 0 using substitution.

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Q: dy for ] B2 (c): Find dx y = 3 sin-'(x²).

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: e* sin(x)dx 3. Evaluate

A: We have to find the integral of given function

Q: cos(x) dx 1+ x2 a) Calculate using Simpson's 1/3 rule. b) Take n = 5 and calculate using the…

A: Solution:- The given integral  is  I=∫0π2cos(x)1+x2dx

Q: 2) x dy = (y + x cos? (2))dx

A: Reduce it homogeneous differential equations and solve it.

Q: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Q4/Solve for two only Va+9+3 lim, o 1- dx Se sin (e*)dx 3.

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Q: sinx b) Find dx if m t2 + 5 dt + cscx + y = x cosx 10 b) Find for sin?x + cos?y = dt xtany t+2 dx

A: b) we know that  ddx∫f(x)g(x)H(t)dt=[H(g(x)g'(x))-H(f(x)f'(x))] we have ∫xsin(x)t2+1dt…

Q: Q8// find the general solution (tan-'x + (cotx)y)dx + (lnsinx)dy = 0

A: The differential equation is given as (tan-1x+(cotx)y)dx+(ln sinx)dy=0 Compare it with Mdx+Ndy=0…

Q: dy at the point (1, ). dx nt) For the equation given below, evaluate 41 +7 x– 5v dy at (1, ) - dx

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