
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:
The equation of this line would be y = -2/3x + 1.25
Step-by-step explanation:
In order to find this, first start with the base form for slope-intercept form.
y = mx + b
Now input the slope for m and the intercept for b.
y = -2/3x + 1.25
Answer:
A
Step-by-step explanation:
A is a triangular prism
One million = 1000000
Twelve thousand = 12000
Sixty = 60
One million, twelve thousand and sixty = 1 012 060
Standard form is given by A × 10ⁿ
Where A is a number in unit and 'n' is an integer
1 012 060 = 1.012060 × 10⁶
Answer:
Mars orbits the Sun at an average distance (semi-major axis) of 228 million km (141.67 million mi), or 1.524 astronomical units (over one and a half times the distance between Earth and the Sun).
Step-by-step explanation: