a. Recall that
For , we have
By integrating both sides, we get
If , then
so that
We can shift the index to simplify the sum slightly.
b. The power series for can be obtained simply by multiplying both sides of the series above by .
c. We have
I guess by slope, you mean gradient.
By knowing the gradient, and a coordinate at which the line passes through, we can use:
y - y1 = m(x - x1)
to get the equation of the line in the form (y = mx + c).
y - 5 = (-3 / 4)(x - 4)
y - 5 = (-3 / 4)x + 3
Rearrange.
y = (-3 / 4)x + 8
Answer:
8 < 8.2 <8.5
Step-by-step explanation:
Pick a number that is greater than 8 but less than 8.5.
Ex: 8.1, 8.2, 8.3, 8.4
Answer:
Step-by-step explanation:
Exponents with fractions in them are really just radical notation in a different form. You've probably seen the square root sign.
That can be written as
x^(1/2)
...and when you take an even root of a negative number, there is no real answer. (2 is an even number).
Looking at the answer choices here, we can see that B and D use even roots, so they will give non-real answers.
So, A and C are the answer choices to select.
