Instantaneous rate of change = S'(r) = 8πr
S'(8) = 8π(8) = 64π
Therefore, the instantaneoud rate of change of the <span>surface area with respect to the radius r at r = 8</span> is 64π
Answer
He would lose 2000 dollars either way so it doesn't really matter.
Step-by-step explanation:
Answer:
4241.16 cubic meters of water
Step-by-step explanation:
Solution: The factor form of the given polynomial is
.
Explanation:
To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.
The value of the function f(x) is 0 for
, therefore
is a factor of given function.
Use synthetic method to divide the given polynomial for by
. Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.
The bottom line shows the coefficients of the quotient polynomial.
So 
Similarly
is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.
Use synthetic method to divide the parenthesis polynomial for by
. it is shown in figure 2.
So

Hence the factor form of the given polynomial is
. The graph of the given function is given in figure 3.
Here, we can split this parallelogram into two triangles and one rectangle. The triangles are equal to each other so we can just find the area of the rectangle and the are of <span>one triangle.
</span>Triangle area formula:

, where a = area, b=base, and h=height.
Plug in 5 for b and 11 for h:

<span>Multiply by 2!
</span>

Rectangle area formula: a=bh, where a = area, b = base, and h = height.
Plug in 4 for b and 11 for h.
a = 4 x 11
a = 44
44+55 = 99
Area is 99 cm<span>².</span>