Answer:
See attachment
Step-by-step explanation:
The given inequality is
We multiply both sides by -2 and reverse the inequality sign to get:
We draw an open circle at 32 and draw an arrow to the right as shown in attachment.
Find the average rate of change for f(t)=6t2+7 over the interval [4,4+h]
1 answer:
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The triangles ABC and A'B'C' are shown in the diagram below. The transformation is a reflection in the line 
. This is proved by the fact that the distance between each corner ABC to the mirror line equals to the distance between the mirror line to A'B'C'.
Answer:
1075/42
Step-by-step explanation:
Answer:
The dimension of the open rectangular box is .
The volume of the box is 8.217 cubic inches.
Step-by-step explanation:
Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.
To find : The dimensions and the volume of the open rectangular box ?
Solution :
Let the height be 'x'.
The length of the box is '11-2x'.
The breadth of the box is '7-2x'.
The volume of the box is
Derivate w.r.t x,
The critical point when V'(x)=0
Solve by quadratic formula,
Derivate again w.r.t x,
Now, (+ve)
(-ve)
So, there is maximum at x=1.392.
The length of the box is
The breadth of the box is
The height of the box is h=1.392.
The dimension of the open rectangular box is .
The volume of the box is
The volume of the box is 8.217 cubic inches.