Find the solution of the given initial value problem in explicit form. π ㅠ sin (2x) dx + cos(7y) dy = 0, y = -1 y(x): sin ¹G cos(2x) + +71) X

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Q: 93 to the nearest thousandth. 3 to the nearest hundredth.

A: 31. 54% as decimal  54%=54100=0.54 54% in decimal is 0.54

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Q: Find the solutions if k = 1 for kx +y + k = = K² ky + z Kx + y X + = K - 1² = 1

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Q: Use the chain rule to find, where First the pieces: dr End result (in terms of just t): 西 | z = x²y…

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Q: 4. Determine two equations, one in terms of sine and the other in terms of cosine for the following.

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Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

A: Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

Q: = Solve the following PED: д и ди дı дх² = if u (x, 0) = 2x when 05x52

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Q: Determine convergence/ divergence. If result is convergence, find the li

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Q: Question 13 (Mapped to ILO3) Determine the Fourier Series of x, 0<x<T f(x) = { π, π < x < 2π, and…

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Q: Prove by Mathematical Induction that: 1∙1! +2∙2!+ +...+n∙n!= (n + 1)! –1

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Q: 1. Find the general solution of dy dx +y=x

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Q: QUESTION 6 and b= Let W=span ( - 1+x,1+x²) be the subspace of P₂ equipped with the evaluation inner…

A: let W=span-1+x , 1+x2 be the subspace of P2 if p=12+6x-12x2 then projwp=a+bx+cx2 find the value of a…

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Q: Q1: Solve the following PED: ди ди = д1 ?х2 15x5/1/201 if u (x, 0) = 2x when 05x5

A: Solution 1: Given PDE is ∂u∂t=∂2u∂t2                   (1) u(x,0)=2x,   0≤x≤l2 By variable separable…

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Q: 5- dy/dt = y²(y+1)(y-3), -∞<Yo<∞

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Q: Perform the Inverse Laplace Transform of: | in terms of f(t) 2s+3 F(s)=- S s² +4s+13

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Q: -21 Let I be the line given by the span of 5 in R³. Find a basis for the orthogonal 8 complement L…

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