Question

) Find the value of in the following equation: 3 at 2 -7a+4 2a 4at6 7 7 7 7 6*-*-*-6) ) 응 12 12 12 12 ​

Answer 1

Answer:

Step-by-step explanation:

If rolle's theorem holds on x∈[1,2] at x=4/3 then we can say two things for sure,

→f(1)=f(2)

1+b+c=8+4b+2c

3b+c+7=0 1 )

→f  

′

(4/3)=0

f  

′

(x)=3x  

2

+2bx+c=0 at x=4/3

3(4/3)  

2

+2b(4/3)+c=0  

8b+3c+16=0       (2)

Solving simultaneous equations (1) and (2) we get

b=−5,c=8