Lets go ahead and calculate the area of each side; added together, this will give us the full surface area. First the base, which is 9 by 9 and a square. This means its area is 9*9, which equals 81. Next the triangles, which are all the same, so we only have to do it once and then add it 4 times at the end. The area of a triangle is (1/2)bh, so (1/2)(9)(7) = 31.5.
Finally, we just need to add the areas up.
81 + 31.5 + 31.5 + 31.5 + 31.5 = 81 + 4(31.5)
81 + 126 = 207 units^2
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )b ) f ` ( x ) =
=
( 2 x³ - 16 x ) / √(x^4 - 16 x²)c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34
Answer:
Step-by-step explanation:
Use the formula for volume of a cone
V = 1/3 pi r^2 (h)
V = 1/3 pi 66^2 (18)
V= 1/3 pi 4356(18)
V = 1/3 pi 78408
V = 1/3 264,201.12
V = 82,067.04cm^3
Answer:
<em>y = - x + 5 </em>
Step-by-step explanation:
A(1, 4)
B(4, 1)
= 
= - 1
y - 1 = - 1 ( x - 4 )
<em>y = - x + 5</em>
Answer: 18.85 units^3
Step-by-step explanation:
V = 3.14 x r^2 x h/3
