Answer with Step-by-step explanation:
We are given that a function f(x) is continuous on ().
1.f'(-1)=0 and f''(-1)=-7
We have to find information about f.
When f'(-1)=0 and f''(-1)=-7 < 0
Then, function is maximum at x=-1.
Therefore, at x=-1, f has local maximum.
Answer:a)at x=-1 ,f has local maximum.
2.) if f'(4)=0 and f''(4)=0
We know that when f''(x)=0 then test fails then the function has not maximum or minimum.
Therefore, at x=4 , f has not a maximum or minimum.
Answer:c) at x=4, f has not a maximum or minimum.
Answer: 5 inches
Step-by-step explanation:
Length of souvenir = 15 cm
If 1 inch = 3 centimeters
Length of souvenir in inches :
To obtain the length of souvenir in inches :
Divide the number of inches by 3
Length of souvenir / 3
15 / 3 = 5
Hence, the length of souvenir in inches = 5 inches
Answer:
2.25
Step-by-step explanation:
because you have to divide 32 by 14 2/9 resulting in the the 14 2/9 to be 128/9 and then flipped, 9/128. Afterwards, cross out the the 32 and 128 since 32 is a factor of 128 to get 1 and 4.Then apply mutiplication 1/1 * 9/4= 9/4 or 2 1/4= 2.25
Answer: the length of the sides are 21m, 16m and 28 feet
Step-by-step explanation:
Let x represent the length of the first side.
Let y represent the length of the second side.
Let z represent the length of the third side.
The perimeter of a triangle is 65 meters. It means that
x + y + z = 65- - - - - - - - - - 1
The second side is 5 meters less than the first side. It means that
y = x - 5
The third side is 7 meters more than the first side. This means that
z = x + 7
Substituting y = x - 5 and z = x + 7 into equation 1, it becomes
x + x - 5 + x + 7 = 65
3x + 2 = 65
3x = 65 - 2 = 63
x = 63/3
x = 21
y = 21 - 5 = 16
z = 21 + 7 = 28
Step-by-step explanation:
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