47) 2banx 1-tan³x + = cosxtsinx 2009X cosx sinx

Q: Solve: L{tet sin 3t} O (18s^2 - 6s + 36) /(s^2 + 2s +10)^3 O (18s^2 +36s 36)/(s^2 +2s +10)^3 (18s^2…

A: Solutions

Q: 52 Simplify: [-p ^ (p v q)] → q-

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Q: 10. | [3 - e-lxl – cos x + log(x²)]dx = 0 x³ +4x – sin x 11. x² – 7 -dx 3 0

A: 10. ∫a53-e-x-cosx+lnx2dxEliminate absolutes =∫a53-e-x-cosx+lnx2dxApply the Sum Rule:…

Q: 2. Find the 2nd derivative of sin (x²-1) y *2cos(x^2-1) 4x^2 tan(x^2-1) 2cos(x^2-1) + 4x^2…

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Q: Find the Re(z) and Im(z) z=sin(e^i3)+sinh(5∠30)

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Q: Use simple fixed-point iteration to locate the root of f(x) = sinyã – x

A: Fixed point :   A point is called a fixed point of g(x) if it satisfies the equation x = g(x).…

Q: Using [ y = e^(2x) (c1 + c2) + 3/2x2 (2x) ] and [ y = ( c1 + c2x ) e^(2x) + 3x/25 sinx + 4x/25 cnx +…

A: The given differential equation is;  y'' - 4y' + 4y = 3e2x + xsinx

Q: Can someone compute this into decimal form. f'(4)=-sin(4)-3sec²(4) Thank you

A: we already have f'(x)=-sinx-3sec²x so,f'(4) =-sin(4) -3sec2(4)

Q: Differentiate each function a) f(x) =sin'[ (tan (cos (x²)) ] b) g(x) =/ sec(x* +2x) c) h(x)=V5 +3x²…

A: As per our guidelines we need to solve only 3 subparts.please repost the remaining subparts as other…

Q: solve (sinx)sec^2(x)+(cos x)cosec^2 (x)=0

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Q: 3x * y^4 = 5x * sin x + 4y ^ 3 * cos x + 5y * sin x

A: Given equation is: 3xy4=5x sin x+4y3 cos x+5y sin x

Q: verify cos(3x) = 4cos^3 (x) - 3cos(x)

A: We know that  cos(A+B)=cosAcosB-sinAsinB Therefore cos(3x)=cos(2x+x)=cos(2x)cos(x)-sin(2x)sin(x)

Q: Derive the following: a.) xy^2 + xtany = ysinx

A: Given equation is: xy2+x tan y=y sin x We have to find dydx.

Q: 1 Evaluate (-, dx х-х3

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Q: d Verify tanh - = X 1- x2 dx

A: Inverse hyperbolic tangent function can be expressed in logarithm funtion. Write tanh-1x=12ln1+x1-x…

Q: solve    y'''-y' = cosx

A: Given:       y'''-y'=cosx    Linear equation with constant coefficients…

Q: cosx + cosxcot’x secx

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Q: sec Vx Vx xp-

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Q: 4x3 ソ= cos sin e2x

A: We have to simplify the derivative

Q: Find, tan(x / 2)dx A) (1/2) sec (x/2)+c C) 2 sec (x/2)+c B) 2m sec(x/ 2)+c D) (1/2n sec(x/2) +c

A: Given that a integration of tan(x/2) and we solve it by using general formulas of integration. We…

Q: cscxdx 5+ cos²x sin²x

A: Evaluate: I=∫csc2x5+cos2xsin2xdx We know that, cos xsin x=cot x Then, we have I=∫csc2x5+cot2xdx

Q: CSCX -1 Differentlate: f(x) = secx A f'(x) = - csc2x+ sinx f(x) = sinx - sec²x C rx)=cosx-sec2x f(x)…

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Q: limx→0 (sin6x)/(tan6x)

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Q: et f(x)=-11sin x+3 cos x f' (x)=?

A: f(x)=-11sin x+3 cos x this is given  we have to differentiate the function  dsinx/dx = cosx…

Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: 4) S sec' x xp-

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Q: cos( 2 sin' ( x/ 11)) = Select one: O( 2x2 - 121 )/ 121 O(121 - 2x2 )/ 121 O 22 x/( 121 - x ) O 2x (…

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Q: f(x)=2cos^2 x-1 , 1-2sin^2 x , cos^2 x-sin^2 x and cos2x Make a comparison of the four expressions

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Q: f(x) = 4sin (1-3x2) + xcosx-9, then f'(x) = -24xcos (1-3x2)+cosx-xsinx True O False

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