Find a linear equation whose graph is the straight line with the g through (0.5, 4) and parallel to the line 4x – 2y = 1 y(x) =

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A: Given differential equation 5ty+ety'=yt2+25 We have to write in the form y'+p(t)y=g(t)

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Q: Q34. If f'(0) = 4 and f(4) = 2 and f'(4) = k. Then find the value of k if f(x + y) = f(x) + f(y) V…

A: Let us consider a function f(x). Then using definition of derivative  f'(x)=limh→0f(x+h)-f(x)h

Q: 6. (a) Use elementary Maclaurin series to find the Maclaurin series for the function f(z = In 1+x…

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Q: 11. ( a) b) c) ) Consider the relation on 4= {1,2,3) represented by the matrix 0 Determine if the…

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Q: √x-2 Q.3 If f(x)=- (x²-x+1)² (a) The intervals on which f is increasing, (b) The intervals on which…

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Q: Find all the eigenvalues (real and complex) of the matrix A -5 5).

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A: See answer below

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Q: We prove the following statement using element proof and contradiction. For all sets B and C, (B-C)…

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Q: Use System Use matrices MGal Gaussian back-substitution. W to 3x - 2y = -33 x + 3y Solve (X,Y)= ( =…

A: 3x-2y=-33x+3y=11      ⋯(i) We use Gauss-elimination method to solve this system.

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Q: IV. Let 3 be the surface with equation given by 4x² - 9y² = 9 (2²+4). 1. Find an equation of the…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given the function 4s-8s2+ss2+1 make the partial fraction as follows 4s-8s2+ss2+1=4s-8ss+1s2+1…

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Q: Finding

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Q: Determine by direct integration the centroid of the area shown in the figures. Where a= 22 cm and b=…

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