I think the first one c and the second one a
Answer:
Step-by-step explanation:
The sum is the result obtained from adding two or more values together.
The sum of <em>s</em> and <em>t</em> is the result obtained from adding <em>s</em> and <em>t</em> together.
<em>s </em>+<em> t</em>
Step-by-step explanation:
The Taylor series expansion is:
Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!
f(x) = 1/x, a = 4, and n = 3.
First, find the derivatives.
f⁽⁰⁾(4) = 1/4
f⁽¹⁾(4) = -1/(4)² = -1/16
f⁽²⁾(4) = 2/(4)³ = 1/32
f⁽³⁾(4) = -6/(4)⁴ = -3/128
Therefore:
T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!
T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³
f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0. So we can eliminate the top left option. That leaves the other three options, where f(x) is the blue line.
Now we have to determine which green line is T₃(x). The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).
The bottom right graph is the only correct option.
Answer:
Step-by-step explanation:
The easiest way to start is to do this problem is to start changing the 3/4 cup to a decimal
3/4 = 0.75
Now divide that into 11. What you are interested in is the remainder.
11/0.75 = 14.66667
He can make 14 whole pizzas.
He has 0.66667 of a cup left over which is less than 3/4 (or 0.75) so he does not have enough for another pizza.
So the answer is 0.66667 which is 2/3 of a cup is left over.
Answer:
464
Step-by-step explanation:
351 + 113. Add them both together to get your answer.
