8. Prove that n m n n ("+")=(6)(*) + (*)(,~1) r r (*) (*) +---+ (c)(") r -
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- APQR = R(R(ABC)) Given the fact that and the figure provided shown on the coordinate plane below, which single-transformation equation would also be true? 15 -15 -10 -5 10 5 +5 -10 15 B 10 15how to find the recursion relation of xy''+y'+xy=e^x, x0=1Given f(x)=e*, g(x)=5* , and h(x) =g(x)/f{x), find h"(x). A) 5*e*(In5+1)² B) 5*e*(In 5–1)² C) 5*e*(In 5)² D) -x(x-1)5*-2²n5)²
- Consider Evaluate ( 3x²+ 6x ) e (6x-+ 3x)el'+y?) (6x+9x) e (x+y2) O (9x++6x)e{*+y?)(4x*)' for all x#0? Show the manipulations that lead to your 5. Which of the following is equivalent to (6x')* final answer. 16 (1) (3) " 16 (2) 9. (4) APPLICATIONSProve or give a counterexample: For any n greater than or equal to 1 and A, B in R^(n x n), one has det(A + B) = det(A) + det(B).