8. S 3+9 tan² 0 sec² 0 de 0+tan3 0 9. [3 cos 0 e sin 0 do

Q: y = 4x° + 4x at (1, 2)

A:

Q: Find the values of A and B such that is differentiable at 2 if д Ax + B if Xx<2 g(x) = { ²

A: if x&lt;2, g(x) =  Ax +B  g(2) = 2A+B;---------------------------------1 if(x&gt;=2), g(x) = 2x^2 -1…

Q: State the order of the given ordinary differential equation, and classify it as linear or…

A: Given: d. d5qdp5tan2q=p2q-qsin(p)eap e. -9sinh(at)=z'''-az't-2 f. r''=-a5x+rsinrx g.…

Q: 21. Find dy dx dy =[ dx for y = x(5x +3) 3

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Q: 19. e* +e" = e*+ 20. ye* +xe" =1

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Q: find anti derivative.

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Q: Determine if the following piecewise defined function is differentiable at x = 0. 4х- 1, X20 f(x) =…

A: We will check whether the function is differntiable or not at x=0 as following.

Q: S-2(x-1 - x²) dx 5.

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Q: Which rule(s) are used to find the derivative?

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Q: f (x) = x2³ (1– x) 2/3

A:

Q: Find the derivative (3t - 4) ^8 divided by t + 9

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Q: y" +6y' +10y=0; y(0) = 2, y'(0) =

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Q: Identify the derivative with complete solution.

A: The given function is fx=5sec2x+20 To find: Derivative of f(x) In the given function sec(2x) is a…

Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: g(t) = 8t3 – 4t² + 12t – 3 %3D

A: This question is based on diffrentiation of function.

Q: V/2x+3) (x²+1)" 17. f(x)=-

A:

Q: V. En el siguiente ejercicio obtent 1 + Int 1 - Int

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

Q: Jnx 13. g(x) = x*

A: The given expression is g(x)=xlnx. Let y=xlnx. Take natural log on both sides of the equation.…