IER, t> 0, u(x,0) sin(87r) cos(90z). u + ru, =x

Q: sin (t) -dt 3 (4+ cos (t))?

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Q: b) S sin 2 x cos x dx

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Q: Find the GS of y" + y = cos x + sinx

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Q: 1. find the linear approximation tof (x) at x = xo. Use the linear approximation to estimate the…

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Q: 3. y cos (sin'x)

A: For the given  y = Cos4(sin3x) dy/dx is calculated as shown below

Q: 4. Find d?y/dx² for the following functions: b) y = cos*(sec² 3x)

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Q: (h) (1 – cos² r) (1+ cot? r) = 1 %3D

A: you can clearly understand if you follow the below solution

Q: 2. 2 | sin xcos xdx

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Q: Vtan XP sin X cosX

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Q: -(sin(xyz)) = O xô zô y

A: Partial differentiation of the function with respect to x means to differentiate the function only…

Q: Compute Each Derivative: 1) d tan¯¹ (1 + e²x) dx 2) x²cos-¹(3x4) d dx 3) x(sin-¹(x))² dx

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Q: Find , where : = sin (a²) cos (y*) O 2.r sin (a²) cos (y²) O 2r sin (x²) 6.x sin (a²) cos (y²) 2x…

A: We have to find partial derivative of z  with respect to x.Given a function of two variables, ƒ ( x,…

Q: (cos x+xcost)dt +(sint – t sin x)dx = 0 Ans. t cos x+x sint = c

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Q: Let h(y) = 2 cos y – 7 sin y. Then h'(y) =

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Q: Evaluate: 4S d sin(t?)dt dx x 3x²sin(x“) – sin(x²) b. 2x°cos(x°) – 2xcos(x²) a. 3x²cos(x^) – cos(x²)…

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Q: Differentiate y= cos y2x +1 sin 2x+1 A. V2x+1 sin 2x+1 B. V2x+1 sin 2x+1 C. V2x-1 sin 2x-1 D. V2x+1

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

Q: ● ftans (x) sec (x) dx M

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

Q: etermine the form that would make f sin () cos () sin(0) de

A: We have to determine the form of the given indefinite integral

Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

Q: 4. Prove that cos(sin¬1 x) = /1 – x².

A: cos(sin-1x)=1-x2⇒sin-1x=cos-1(1-x2)Let y=sin-1x                               (1) ⇒siny=x…

Q: ,2 Compute x² cos(x³ + 3) dx

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Q: 4. [(3sin 2f – 3 cos 5t )dt 5. sin x dx cos x

A: 4) Given:            ∫3sin2t-3cos5tdt       =∫3sin2t dt-∫3cos5t dt taking constant out…

Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: 2Tt Prove that a" sinax cos bx dx = 0 0.

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Q: sin x cos x dx 4

A: We have to evaluate the given integral.

Q: 13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative…

A: To find Evaluate the integral: