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:
Part 1) 
Par 2) 
Part 3) 
Step-by-step explanation:
step 1
Find the 
we have

Remember that

therefore

step 2
Find the 
we know that

we have

substitute




square root both sides

we have that
---> given problem
so

step 3
Find the 
we know that

we have


substitute

Simplify

Step-by-step explanation:
________________________________
Step 1:

Wright the equation
________________________________
Step 2:

Transfer the power of y ie ¹² up to subtract it
________________________________
Step 3:

by subtracting the powers we get 0
________________________________
Step 4:

so the results comes 1 because anything ⁰=1
________________________________
⚡Final answer :1✓
________________________________
hope it helped you:)
Answer:
Density of steel = 80.73 gm/
Step-by-step explanation:
The figure is made up of cuboid and square pyramid.
Height of cuboid, h = 9 cm
Length of cuboid, l = 6 cm
Width of cuboid, w = 6 cm
Volume of cuboid is given by the formula:


Density of Wood ,
= 0.68g/
We know that formula of Density is:


Putting the values:

Total weight = 
970 = 220.32 
= 749.68 gm
Volume of pyramid is given as:

Base is a square with side 6 cm

Density of Steel/Pyramid:
