The equation would be
V= \pi r^{2} h[/tex]
so if you substitute, you'd have to solve for the radius, which can be found by doing
This gives you
So now we can solve for the volume by using the substituted values in the original equation
which simplifies down to
so you could answer
or
84556941663448.00
I would recommend the one in scientific notation
<h3>
Answer: 65</h3>
============================================================
Explanation:
We'll need to compute the difference quotient. In this case, we need to find what is equal to. It's called a difference quotient because there's a subtraction in the numerator (aka "difference") and we're dividing to form the quotient.
The idea is that as h approaches 0, then that expression I wrote will approach the derivative we're after. Keep in mind that h will technically never get to 0 itself. It only gets closer and closer.
Anyways, let's compute first
Then we'll subtract off g(t)
A very important thing to notice: the terms that don't have any 'h's in them have been canceled out (eg: 5t^2 combined with -5t^2 added to 0). Why is this important? It's because we need to factor 'h' out and we'll have a pair of 'h's cancel like so
The left hand side cannot have h = 0, or else we have a division by zero error. But if we approached 0 (not actually getting there), then the expression 5h+10t+5 will approach 5(0)+10t+5 = 10t+5
---------------------
In short: The derivative of is
In terms of symbols,
Later on in calculus, you'll learn a shortcut so you won't have to compute the difference quotient every time you need a derivative. Refer to the power rule for more information.
After we find the derivative, it's as straight forward as plugging in t = 6 to compute g ' (6)
Side note: This tells us that the slope of the tangent line is m = 65 when t = 6. In other words, this line is tangent to g(t) when t = 6, and this particular tangent line has slope m = 65.
Answer:
0.60
Step-by-step explanation:
3/5 is equal to 6/10 which as a decimal would be 0.60 or 0.6
Answer:
2 staplers and 5 notepads
Step-by-step explanation:
Because 2·8=16
16+5=21