Fit a trigonometric function of the form f(t) = co + c₁ sin(t) + c2 cos(t) to the data points (0,8.5), (4.5), (π, -9.5), (3, 4.5), using least squares. f(t) =

Q: Find the Green's function G" + k²G = 8(x − s), Gʻ(0, s) = 0, G′(0,π) = 0 -

A: To find the Green's function G(x,s) for the given differential equation G′′+k2G=δ(x−s), subject to…

Q: Find the indicated value of the function f(x.y.z) = 3x - 5y? + 9z° - 6. f(9, – 3,1) f(9, - 3,1) = O

A: f(x,y,z)=3x-5y2+9z3-6f(9,-3,1)=3×9-5×((-3)2)+9(13)-6f(9,-3,1)=27-45+9-6f(9,-3,1)=36-51f(9,-3,1)=-15

Q: Let 7 (t) = Find '(t) 7' (t) = ( -5 - 7t -77+-+2) 6t+1' -4t2 +4' -7t3 + 2

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Find R(t) if R′(t)=⟨sint3,cost2⟩ and R(π)=⟨12,12⟩.

A: According to the given information it is required to find R(t).

Q: Express the function f(z) = sin(=) in the form f(z) = U (x, y) + V (x, y)i. %3D

A:

Q: Find the approximate change in z when the point (x, y) changes from (4, 9) to (3.98, 8.89). (Round…

A: To find the approximate change in z when the point (x, y) changes from (4, 9) to (3.98, 8.89).

Q: Determine for which values of m the function (x) = xm is a solution to the given equation. d²y dy -…

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Q: 4. Determine whether the pairs of functions are linearly independent or linearly dependent on the…

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Q: Find equations for the tangent plane and the normal line at point Po (Xo Yo-Zo) (5,1,0) on the…

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Q: Iu the values of the parameters of f(t) = A+ B sin(C(t – D)). (o. 1) (1-3)

A: We have to find the value of A , B , C and D

Q: dø f($) dr where f($) = – sin o + y sin ø cos o = sin ø(y cos o – 1). COS

A: To find stable points of f(ϕ), we put f(ϕ)=0. ⇒-sin(ϕ)+rsin(ϕ)cos(ϕ)=0⇒ϕ=nπ are fixed points for all…

Q: lf f(z, y) = 5ery + 1 sín (inr + y) + 2r + 3y, find-a-,-,-and

A: