Expression 14: "a" "y" equals "b" "x" left brace, "a" less than or equal to "x" less than or equal to 0 , right brace Has graph.ay=bxa≤x≤0
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Expression 15: "d" equals "a" times 0 equals 0d=a·0
equals=
00
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Expression 16: "c" equals "a" times 0 equals 0c=a·0
equals=
00
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Expression 17: "a" "y" equals "b" "x"ay=bx
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In this desmos program, vector V, U are scale versions of the basis vectors in R2 depending on the values of the weights adding the two vectors together scaled by some coefficients a,b can reach any point in R2.
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Weight Controller (x) "W" Subscript, 1 , Baseline equals left parenthesis, negative "a" , "c" , right parenthesis equals left parenthesis, negative 13.5 5 , 0 , right parenthesis Has graph. To audio trace, press ALT+T.W1=−a,c
Label:
equals=
left parenthesis, negative 13.5 5 , 0 , right parenthesis−13.55,0
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Weight Controller (y) "W" Subscript, 2 , Baseline equals left parenthesis, "d" , negative "b" , right parenthesis equals left parenthesis, 0 , negative 3.8 3 , right parenthesis Has graph. To audio trace, press ALT+T.W2=d,−b
Label:
equals=
left parenthesis, 0 , negative 3.8 3 , right parenthesis0,−3.83