For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)
So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)
Now, let's solve ~
Therefore, Length of side a is 5 units ~
Answer:
9 ÷ 1504 = 0 R 9
0.00598404255
Step-by-step explanation:
Shown above is remainder form and decimal form...
Answer:
1/2(2x-6)= -6
Step-by-step explanation:
Multiply the two sides by the equation 2
2x-6=12
move the constant to the right hand side change sign
2x = -12 + 6
calculate the sum
2x= -6
Divide the 2 sides by 2
x= -3
