Answer:
0.25
liter of red paint, 0.25 liter of blue paint,
and 4.5 centiliters of white paint.
Step-by-step explanation:
is a classic approximation, true for small x.
The next term in the polynomial expansion will be 
where k is a positive number. So our estimate 1-x is definitely an underestimate on both sides of x=0.
Since for negative xs the exponential rises exponentially and the line only linearly, the exponential exceeds the line for all negative x. For positive x, the line quickly goes negative while the exponential is always positive.
So, there's no interval for which our approximation is an overestimate.
Answer:
A) 12.1 , 12.01
B) infinitely large
Step-by-step explanation:
Give that the function f(x)=x2 describes the area of the square, f(x), in square inches, whose sides each measure x inches. If x is changing.
Using the formula
(f(a + h) - f(a))/h
as x changes from 6 inches to 6.1 inches
a = 6, h = 0.1
= [f(6.1) - f(6)]/0.1
= (6.1^2 - 6^2)/0.1
= (37.21 - 36)/0.1
= 1.21/0.1
= 12.1
and when x changes from 6 inches to 6.01 inches.
a = 6, And h = 0.01
Using the same formula
(f(a + h) - f(a))/h
= [f(6.01) - f(6)]/0.01
= (6.01^2 - 6^2)/0.01
= (36.120 - 36)/0.01
=0.1201/0.01
= 12.01
B) the instantaneous rate of change of the area with respect to x at the moment when x = 6 inches is infinitely large since h = 0
Answer:
9
Step-by-step explanation:
They both have -10 so just compare 3 and 12. Thats a difference of 9.
Step-by-step explanation:
3/4 of 12
3/4 × 12 = 9
6/7 of 49
6/7 × 49 = 42
2/3 × 27 = 18
3/8 x 16 = 6
