Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of each family whenever a figure is requested. y = c(sec x + tan x)

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A: topic - application of derivatives

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A: I am attaching image so that you understand each and every step.

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

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A: topic - application of derivatives

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Q: Bernoulli Equation (10) y'+3x²y = 4x²y² (11) (x²y* – 1)dx + x³y³dy = 0 (12) x2 4y + 2xy = 5y3

A: Note : As per our Guidelines , we can solve first question . Please repost remaining question.…

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A: We need to find value of C.

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A: Solution: x=4 sin (8θ)y=4 cos(8θ)  ,     0≤θ≤π4 Let 8θ =t  So,   0≤θ≤π4 multiplying by 80≤8θ≤8π4…

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A: We will find the integral as following.

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A: The given limit,     limx→8x3-2x2-7x-8

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A: According to Bartleby's guidelines we are allowed to solve only 1 question at a time. Apologies for…

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A: 1. y=secx+tanxsecx-tanx2. y=e-x cose-x-sine-x3. y=arctanx-1+x2

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Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

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