Answer:
x = -5
Step-by-step explanation:
2x-3+3x= -28
combine like terms
5x -3 = -28
add 3 to each side
5x-3+3 = -28+3
5x = -25
divide each side by 5
5x/5 = -25/5
x = -5
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:
and f as shown below.
Use these lengths to find cosx, sinx, and tanx.
Step-by-step explanation:
Answer:
9^4
Step-by-step explanation:
There is 4 nines.
9*9*9*9 = 6561
9^4 = 6561
9^3 = 729
Answer: Keith spent 3 hours renting the surfboard.
Step-by-step explanation:
h=hour
10.25h+25=55.75
55.75-25= 30.75
30.75/10.25= 3
and if you want to check you can do
10.25(3)+25=
which would equal to 55.75
