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If Dy/Dx =6x^2 + 15x^4 and. Y=7 when x=2 ,find Y

1 answer

dy/dx = 6 x^2 + 15 x^4
then
y = 2 x^3 + 3 x^5 + c
find c
7 = 2(8) + 3(32) + c
7 = 16 + 96 + c
c = -105
so
y = 2 x^3 + 3 x^5 - 105
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