Start with #47. To find the critical values, you must differentiate this function. x times (4-x)^3 is a product, so use the product rule. The derivative comes out to f '(x) = x*3*(4-x)^2*(-1) + (4-x)^3*1 = (4-x)^2 [-3x + 4-x]
Factoring this, f '(x) = (4-x)^2 [-3x+4-x]
Set this derivative equal to zero (0) and solve for the "critical values," which are the roots of f '(x) = (4-x)^2 [-3x+4-x]. (4-x)^2=0 produces the "cv" x=4.
[-3x+ (4-x)] = 0 produces the "cv" x=1. Thus, the "cv" are {4,1}.
Evaluate the given function at x: {4,1}. For example, if x=1, f(1)=(1)(4-1)^3, or 2^3, or 8. Thus, one of the extreme values is (1,8).
g(3) means that x is 3, and you just subsitute the x for 3. The solution is 34.
Answer:
Part c) 
Part d) 
or 
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to
where
B is the area of the rectangular base
h is the height of pyramid
<em>Find the area of the base B</em>
substitute
Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to
we have
substitute
-----> exact value
<em>Find the approximate value</em>
assume
Ok so think about this ( not trying to be rude ) if a kilo = 1000 grams and a gram = 1000 milligrams then there would be 1000000 milligrams in winter squash how I got the solution is by multiplying milligram 1000 to get to a gram then multiply by 1,000 again then do 1,000 times 1,000 then you would get 1000000.
Answer:
12.87, 12.5 is closer to 13
12.08, 12.13 is closer to 12
Step-by-step explanation:
Least to Greatest:
12
13
