Let f be a twice differentiable function such that g'(x)=−f(x) and f'(x)=g(x), h(x)=(f(x))^2+(g(x))^2. If h(5)=11, then h(10) is equal to A. 22 B. 11 C. 0 D. 20

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The solution of a differential equation y′′+3y′+2y=0 is of the form
A) $c_1{e}^x+c_2{e}^{2x}$
B) $c_1{e}^{-<!--\; -\; -->x}+c_2{e}^{3x}$
C) $c_1{e}^{-<!--\; -\; -->x}+c_2{e}^{-<!--\; -\; -->2x}$
D) $c_1{e}^{-<!--\; -\; -->2x}+c_2{2}^{-<!--\; -\; -->x}$

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