10. Find the whole numbers between 100 to 990 d. which is divisible by 4.

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A: To find the domain of r(t) and the value of r(t0).

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Q: 10. Interval 0 <x < c; function, f(x) = x3

A: If a fx is odd, then Fourier series expansion of fx is half range sine series. Fourier series…

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A: Proposition : A proposition is a declarative sentence that is either true or false but not both.

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Q: product of irreducible polynomials.

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Q: f(x +h.y)- f(x,y) For the function f(x.y) = 3x + 8y, find f(x +h.y)-f(x,y) %3D

A: Solution

Q: V t, y), where x = el – e® and y = e® – e", show that If z = az az +y əz az dv ди - ax TTM O TM UTM

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Q: p'AP = 0 49] 01 0 50] 0] 0 50 0] 0 57. 0] 57 -7 p'AP = 49 p'AP = 49 p-'AP p'AP = 7

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Q: FOrthe find all epuiGbicem solitious ond closify tiem lf possifle)

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Q: %3D MUTM az əz +y= əz X- dv ay TTM UTN

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Q: u(x, 0) = ÷(1 -), 0 0 Eq. 2 Uz = a?uxx, 0 0 Eq. 3

A: Using superposition principle and half range Fourier series coefficients.

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A: Formula: The centroid of the region R is x¯, y¯, where x¯=1m∫∫R x dA, y¯=1m∫∫Ry dA and m=∫∫R dA The…

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A: Multiply the coefficient of x2 with equation 2. Then add the equations to solve the question.

Q: Use series to evaluate the limit. V1+x-1 1 ーX lim

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A: Given the parametric equations x=t2y=2t3-1 We will find the rectangular equation by eliminating the…

Q: . If z = f (x, y), where x = e" - e and y = e - e", show that TM UT az x: az az az dy ax UTM UTM UTM…

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