Integrate the given function. 234 sec 3x dp- 9 + tan3x T/ 12 2. sec ²3x „1/ 12 1 10 dx%-xin 9 9 + tan3x

Q: 4. Integrate: 5dx dx a) f b) [ c) f- 1 dx; d) x' V16-x? 1+ cosx cos x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

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A: To expand: y-(x-5)2+sin-1xyx+5.

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A: Solve the following

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A:

Q: 5 dx Find dx, x> V25x? -9 5x In 25x2-9 + C 3. sin-13x+c 1+9x2 +3x|+c 1 V1+9x? + C 3x 3. + C V25x2 -9…

A: The solution is given below in the next step:

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A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: (5an 20 elan 20 sec²2 Bd ß 1. e?x +2e* dx e* +1 2.

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Q: Can you help me with this problem step by step?

A: Given equation is

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A: Y= sin-1(1/x)  and we have to find dy/dx

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Q: Use an appropriate " Bernoulli substitution" to solve: dy + XY 4X s Y(O) =2. %3D dx ya

A: In order to solve a bernoulli's differential equation, first we have to convert it into a linear…

Q: 3. Which of the following gives if y=sin" (2x)? dx 2 (A) V1-4x 1 (B) V1- 4x 2 (C) V1-4x 1 (D) V1-4x…

A: To find the dy/dx

Q: Can you help me with this problem step by step?

A: Given:

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A: Explained below...

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A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

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A: Given query is to find the derivative of the expression.

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A: ddxdydx=ddx-cosxcosy

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A: First you need to go through the formula of calculus. Specially go through the details of the…

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A: In implicit differentiation we differentiate without separating the variable

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A: Use simple formula of derivative

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A: Given:     To determine:

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A: We have to solve the given D. E.

Q: Can you help me with this problem step by step?

A: Differentiating implicitly with respect to x on both sides. Solving left hand side first.

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A:

Q: Q10. Find the first derivative of the following: a. y= sin(cos5x*) b. y= In(2x) c. y=(-5x' +2)s с.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Evaluate the dy/dx> d) y=e-x((cos(2x)) a) -e-x(cos2x+2sin2x) b) e-x(sin2x-cos2x) c)…

A: y=e-xcos(2x)differentiate…