Use D-operator methods to solve (1) (0²+16)y= tsint Cii) (D²+D+5)y =t coszt %3D

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A: Please see the answer below.

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A: maxima minima question, if it is helpful, like and thumbs up.

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Q: lim cosCx)

A: Given: limx→πcosx   Let, fx=cosx So, At x=3.1 f3.1=cos3.1=-0.999135 At x=3.14 f3.14=cos3.14=-0.99999...

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A: We will check if they are parallel or orthogonal. 

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A: Follow step 2nd . 

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A: Solved below

Q: Write 1.24123 = 1.24123123123123123123... as a ratio of integers using geometric series.

A: Sum of infinite series is:  a/(1-r) =S  a is first term and r is ratio   

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Q: 5. In the differential equation (xy +1)kdx+ x(x+4y– 2)dy =0, the integrating factor is

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A: The given function,     y=-x-12+2

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A: Solve the integral using Trigonometric identity. 

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Q: 1. Integrating factors found by inspection: (xy + xy)dx+(x²y²-2)dy = 0

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A: Given that,  

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A: Given query is to find value of the integral.

Q: need some assistance with problem #16, please?

A: Topic:- application of calculus

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Q: Write 1.24123 = 1.24123123123123123123... as a ratio of integers using geometric series.

A: Find your answer below 

Q: . The exact differential d(xy)= xdy + ydx, what is the d( = 4x²y'dy+2xy*dx.

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart...

Q: Consider the following. u = (5, 5), v = (2, 4) %3! %3D (a) Find the projection ofu onto v. (b) Find ...

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Q: Find the area of the shaded region. y-2

A: Given query is to find the are of the shaded region.

Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,5, 1). NOTE: Enter the exa...

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Q: (b) f(z)= (4 – 5e*)³ x² + 1 (c) f(r)= ez %3D (d) f(z) = e=²–5z+4 ez-5x+4 (e) f(x)=xe² – e² = re² – e...

A: We can solve this as follows: