What is the volume of this triangular prism? 15 points :)
1 answer:
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Answer:
1.5 unit^2
Step-by-step explanation:
Solution:-
- A graphing utility was used to plot the following equations:
- The plot is given in the document attached.
- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).
- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.
We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).
The double integration formulation can be written as:
Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.
Answer:
The other endpoint of the segment is .
Step-by-step explanation:
The midpoint of the points and
is given by the following formula:
where = coordinates of the midpoint.
We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:
To find we need to solve this equation:
and to find we need to solve this equation:
The other endpoint of the segment is .