Answer with explanation:
→→→Function 1
f(x)= - x²+ 8 x -15
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= - 2 x + 8
Put,f'(x)=0
-2 x+ 8=0
2 x=8
Dividing both sides by , 2, we get
x=4
Double differentiating the function
f"(x)= -2, which is negative.
Showing that function attains maximum at ,x=4.
Now,f(4)=-4²+ 8× 4-15
= -16 +32 -15
= -31 +32
=1
→→→Function 2:
f(x) = −x² + 2 x − 3
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= -2 x +2
Put,f'(x)=0
-2 x +2=0
2 x=2
Dividing both sides by , 2, we get
x=1
Double differentiating the function,gives
f"(x)= -2 ,which is negative.
Showing that function attains maximum at ,x=1.
f(1)= -1²+2 ×1 -3
= -1 +2 -3
= -4 +2
= -2
⇒⇒⇒Function 1 has the larger maximum.
Answer:
radius=6
Step-by-step explanation:
arc ACB=6xPi
Pi=3.14159
arc ACB=18.85 (rounded to 2 places)
ACB is a half circle so a full circle would be 18.85x2 or 37.7
circumference (whole circle)=2 x Pi x radius
37.7=2 x 3.14159 x radius
radius= 37.7/(2 x 3.14159)
radius=6
Answer:
B) 3/2
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
"how many one inch squares" is basically saying surface area. just find the area of each side and add them.
Answer:
14
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Step-by-step explanation:
