1003124305

Level: 
Project ID: 
1003124305
Accepted: 
1
Clonable: 
0
Easy: 
0
Given a function \( f(x)=ax^6+bx^3+cx+8 \), find real numbers \( a \), \( b \) and \( c \), such that \( \int\limits_0^1f(x)\,\mathrm{d}x=\frac{35}4 \), \( f'(0)=2 \) and \( f'(1)=180 \).
\( a=7 \), \( b=-5 \), \( c=2 \)
\( a=7 \), \( b=5 \), \( c=2 \)
\( a=-7 \), \( b=-5 \), \( c=2 \)
\( a=-7 \), \( b=5 \), \( c=-2 \)