1. By using implicit differentiation , find dy/dx for xe^y+ sin xy - ln 2 = -y 2.  find the fourier coefficients for the function of period 2pie as follows: f(t)=2t^3,- pie

Q: (b) u = Vt² + 2vt3 - 1 tan I (d) y = sec I VE-1 (f) y = VI+1

A: Since you have asked multiple subpart, as per our guidelines we are supposed to answer only first 3…

Q: Find the image of the region in the complex plane given by 1/2 <= r <= 2, pi/8 <= theta…

A: Check explanation Explanation:

Q: 3 z'= 2(x"+Z) Arrang e in linear form: dy Q) or dx

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Q: Determine the order of the DE. a.) y' + y = 5y^2 b.) (dy)/(dt) = t c.) y' = y'' + 5t^2

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Q: The centroid of the region bounded by y = x, y = -x, and {(cos t, sin t) | st s is (circle one) (0.)…

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Q: apply property of differentiation of laplace in the equation f(t)= t cos 2t and f(t)=t^2e^-3t

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Q: Study the analytically of w = L_r(z) at the points z = 0, z = v2,z = -2i

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Q: 1. y = 2t2 – 7t3, x = 9t – t5

A: dy/dx and d2y/dx2  are find in next step dy/dx = (dy/dt) /(dx/dt)

Q: The area of the region bounded by the graphs of y = sinx, y = x+1, and the y - axis is 01+ ³…

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Q: 3. From results obtained in Secs. 21 and 23, determine where f'(z) exists and find its value when…

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Q: Find the partial derivative dz for the function z = cos(x³ +y²).

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Q: The equation of the tangent to the curve y=4+ sin' x at X=0 is O y = 4 O y = 2 O y = 6 O y = 3

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find E(x,y) for the function x^3+y^3=9/14(xyz) at the point (2,7,39). Round your answer coefficients…

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Q: ·볼+1 2x - y dx dy, Use the transformation to evaluate 2x-y where u = v = % and integrating over an…

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Q: The percentage of female high school graduates who enrolled in college is given in the table below.…

A: Let x represent time(in years) since 1970, and let y represent the corresponding percentage of…

Q: From the example, I need help with the question circled.

A: The circled part talks about rotations of a complex number around the origin.Specifically, it…

Q: The area under the region bounded by the curve f(r) cos r, the a-ax and the lines x = %3D and a = 2…

A: From the given curves the bounded region is as shown below: Now taking the vertical strip, so the…

Q: 4. Find the area bounded by the curve (x+y)^5 = ax^2y^2 in the 1st quadrant, where a is a constant.…

A: Let x=rcos2θ, y=rsin2θ L.H.S: x+y5  rcos2θ+rsin2θ5=rcos2θ+sin2θ5                          =r5…

Q: Write a line integral(s) that would give you the area the graph of f(x,y)=x^2-3y^2-4x+6y+30 and the…

A: The line integral of  function F along with curve C is defined as  ∫CF·dr=∫C(M,N)·(dx,dy)=∫CM dx+ N…

Q: Find the area enclosed a'x = y°(2a – y)| 2 X. -

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Q: (2,4) (2, 2) (--2,0) Given a region R enclosed by the curves: (x-2)² y = 1 + sin( ¹ (77²) ₁ y = 4-₁…

A: This problem is an application of definite integral and let us set up the definite integrals for…

Q: tion 16 of 17 Let P be the tangent plane to the graph of g(x, y) = 18 – 9x - 18y at the point (4,…

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Q: estigate whether the function u(x, y, z) = e^(3x+4y)cos(5z) is a harmonic function, where harmonic…

A: ux,y,z=e3x+4ycos5z

Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand