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anonymous
 5 years ago
Determine the coefficients A and ^ so that the graph of the function
y=Ax^α
passes through the points (x,y)=(2,5) and
(x,y)=(3,7)
anonymous
 5 years ago
Determine the coefficients A and ^ so that the graph of the function y=Ax^α passes through the points (x,y)=(2,5) and (x,y)=(3,7)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(x,y)=(2,5) \[5=A(2)^{\alpha}\] (x,y)= (3,7) \[7=A(3)^{\alpha}\] take raito of both, we have \[5/7= A(2)^\alpha/(A(3)^\alpha) \] \[5/7= (2\3)^\alpha \]\[\ln(5/7)=\ln(2/3)^\alpha= \alpha \ln(2/3) => \alpha= \ln(5/7)/\ln(2/3)\] alpha= 0.8298 \[A= 5/(2^0.8298)= 2.81295\]
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