Answers
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.
Related Questions
Help pleaseeeee
Find the unit rate.
Hours
Miles
X
y
1
40
2
80
3
120
It’s one of these
O 120 miles / 3 hours
O 80 miles / 2 hours
O 40 miles / 1 hour
Answers
Answer:
The answer is 40miles in 1 hour
PLS HELP!!
What is x
Answers
Answer:
2
Step-by-step explanation:
example. consider the function f (x) = x^3 – 3x + 1 (1) find the critical points of f(x) and the intervals on which the function f(x) is increasing and decreasing, and determine relative extrema of f(x) (11) find the intervals on which the function f(x) is concave up and concave down and locate the inflection points of f(x)
Answers
Answerdddddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
how to solve the equation 8b - 12 = 5b
Answers
Answer:
b = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
8b - 12 = 5b
Step 2: Solve for b
Subtract 5b on both sides: 3b - 12 = 0Add 12 on both sides: 3b = 12Divide 3 on both sides: b = 4Step 3: Check
Plug in b to verify it's a solution.
Substitute: 8(4) - 12 = 5(4)Multiply: 32 - 12 = 20Subtract: 20 = 20And we have our final answer!
Which of the following are partial products for 43 x 17
Answers
Answer:
731
Step-by-step explanation:
(iready question pls answer ASAP)
What is the equation of the line?
A) y=2x+2
B) y=2x-4
C) y=1/2x+2
D)y=1/2x-4
Answers
Explanation: the rise over run makes it the slope of 1/2 and 2 is the y intercept
2 with the exponent of 2 ⋅(45÷9) - 3
i need the answer
Answers
simplify [tex]x^2+6x+4/x+3[/tex]
Answers
Answer:
(x^3 + 6 x^2 + 3 x + 4)/x
Step-by-step explanation:
Simplify the following:
x^2 + 6 x + 3 + 4/x
Put each term in x^2 + 6 x + 3 + 4/x over the common denominator x: x^2 + 6 x + 3 + 4/x = x^3/x + (6 x^2)/x + (3 x)/x + 4/x:
x^3/x + (6 x^2)/x + (3 x)/x + 4/x
x^3/x + (6 x^2)/x + (3 x)/x + 4/x = (x^3 + 6 x^2 + 3 x + 4)/x:
Answer: (x^3 + 6 x^2 + 3 x + 4)/x
In the triangle above the value of x = _____ degrees (nearest whole number)
Answers
Answer:
60 degree it is ez math it is 6 grade math
Answer:
200 or 160
Step-by-step explanation:
50=100 70=100 = 200
Most of the time it's 160 or 200, so try those 2
Which expressions are equivalent to -7+3(-4e-3)
A.) -4(3e+4)
B.) 12e
C.) None of the above.
GIVING BRAINLIEST!
*URGENT*
Answers
Answer:
The answer is letter A.
-7+3(-4e-3)
−7+3((−4)(2.718282)−3)
=−48.619382
-4(3e+4)
−4((3)(2.718282)+4)
=(−4)((3)(2.718282)+4)
=(−4)((3)(2.718282))+(−4)(4)
=−32.619382−16
=−48.619382
What is the value of x in the equation 4(2x − 1) = 2x + 35?
Answers
Answer:
x = 6.5 or 13/2
Step-by-step explanation:
4(2x − 1) = 2x + 35
distribute the 4 to 2x - 1
8x - 4 = 2x + 35
subtract 2x
6x - 4 = 35
add 4
6x = 39
divide by 6
x = 6.5 or 13/2
PLLLLLZZZZZ HEEEEEELP
leaves on deciduous trees turn bright colors in the fall due to:
a
Chemicals in the leaf
b
nutrients getting cut off by the tree to the leaves
c
Cold weather
d
too much water
Answers
Answer:
a i think
Step-by-step explanation:
Find the slope of the line that passes through (4, 9) and (6, 10).
Answers
Answer:
y = 4/5x + 14/5
Step-by-step explanation:
yee
Can someone show an example of Inverses of Functions
Because I do not understand that subject
Answers
Answer:
I believe you mean algebra and inverses when you change it to solve inequalities.
Step-by-step explanation:
Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")
At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.
So, -3 + 4 is the same thing as 3 - -4.
3 - 4 = -1
-3 + 4 = 1
Tip: When subtracting a negative number, the answer is likely to go up instead of down.
I hope this helps! I did my best :)
What is the term used for unscheduled full or partial payment of the principal amount
outstanding on a loan before its due date?
Answers
Answer:
This is called a prepayment
When asked about favorite Thanksgiving leftovers, 9% of the people said turkey and 7/100 said mashed potatoes. Which food is more popular? How do you know?
Answers
Answer:
Turkey is more popular.
Step-by-step explanation:
If in the survey about which is the favorite food on Thanksgiving, 9% answered turkey and 7/100 answered marshed potatoes, the most popular food among both is turkey.
This is so because in the case of marshed potatoes, the fact that 7 out of 100 choose this food implies that 7% of those surveyed designate it as their favorite, which is less than the 9% who choose turkey as such.
A taxi driver earned $70.04 one night and then bought himself a meal for $19.98.
How much did he have left over, to the nearest dollar?
Answers
Answer: $50
Step-by-step explanation:
Rounding the numbers, you get 70-20, which equals $50
i need all questions please, will be giving brainliest and please make sure the answers are correct
Answers
21 5 6
70 9 0
0 80 33
1 6 2
Someone help me please
Find the measure of 0.(to the nearest tenth)
Answers
Answer:
Y
Step-by-step explanation:
Yes
1. Evaluate 4x' + 7xy - 5y for x = 5, and y = 3.
Answers
Answer:
110 is your answer
Which of the following is equivalent to the expression below? x 6 x 2
Answers
Answer:
Step-by-step explanation:
the answer is D
Ms. Drevis' garden has lots of apple trees. 120 apples fall on ground in 30 seconds. How many
apples fall in one second?
Answers
Answer:
the answer would be 4
Step-by-step explanation:
because 120 divided by 30 is 4
Answer:4 apples fall per second/ in one second
Step-by-step explanation:
4 x 30 = 120
120 / 30 = 4
17. Brendan works as a car salesman. He earns a salary of $1,000 per month, plus a commission of 3% on all sales. If he sold $250,000 worth of cars in May, what would his total earning be for the
month?
Answers
Answer:
His total earning for the month would be $8,500.
Step-by-step explanation:
In order to calculate the total earnings for the month, you have to find the 3% of the amount of the sales and add the monthly salary:
Monthly earnings=($250,000*3%)+$1,000
Monthly earnings=$7,500+$1,000
Monthly earnings=$8,500
According to this, the answer is that his total earning for the month would be $8,500.
Answer:
The Answer Is $8,500
Step-by-step explanation:
I just took the test
Select the correct answer. What is the factored form of 24y5 + 3y?? A. 3y2(2y- 1)(4y2 + 2y + 1) B. 3y2(2y + 1)(4y2 - 2y + 1) C. (2y + 1)2(4y2 - 2y+ 1) D. (2y-1)2(4y2 + 2y + 1)
Answers
Answer
3y^2\left(2y\:+\:1\right)\left(4y^2\:-\:2y\:+\:1\right)
Step-by-step-explanation
Answer:
I think the answer is b the person who answered may have worded it weird but from trying to read it it looks like b so
An equation is a mathematical statement composed of algebraic and/or numeric expressions set equal to each other.
True
False
Answers
Answer:
True,
Definition of equation for you: a statement that the values of two mathematical expressions are equal (indicated by the sign =).
A quantity with an initial value of 920 decays exponentially at a rate of 85% every week. What is the value of the quantity after 21 days, to the nearest hundredth?
Answers
Answer:
≈3.11
Step-by-step explanation:
The value of the quantity after 21 days, to the nearest hundredth, given the expoenential decay is 3.11.
What is the value of the quantity after 21 days?When a quantity decays , it means that the value of the quantity declines with the passage of time.
The formula that can be used to determine the value of the quantity after a number of weeks is :
FV = P (1 - r)^n
Where:
FV = Future valueP =initial valueR =rate of decayN = number of weeks = 21/7 = 3 weeks920 x (1 - 0.85)^3
920 x 0.15^3 = 3.11
To learn more about exponential function, please check: brainly.com/question/18760477
Find the value of r so the line that passes through each pair of points has the given slope.
Point 1:(-7,2)
Point 2:(-8,r)
m = -5
Answers
Answer:
7
Step-by-step explanation:
[tex]\frac{r - 2}{-8+7} = -5[/tex]
r - 2 = - 5(- 1) ⇒ r = 7
Which expression shows 0.027 written in expanded form?
A
(2 x 10) + (7 X 1)
B.
(0 + 2 + 7) X 0.001
С
(2 x 0.1) + (7 x 0.01)
D
(2 x 0,01) + (7 % 0,001)
Answers
Answer:
D. (2 x 0,01) + (7 % 0,001)
Answer:
jhghgfg
Step-by-step explanation:
Natalie buys a basketball for $25.57 and an air pump for $15.61. How much change will she receive if she pays for both items with a $50 bill?
Answers
Answer:
[tex]Change = \$8.82[/tex]
Step-by-step explanation:
Given
[tex]Basketball = \$25.57[/tex]
[tex]Air\ Pump = \$15.61[/tex]
[tex]Amount = \$50[/tex]
Required
Determine the change received
First, we need to calculate the total amount spent
[tex]Total = \$25.57 + \$15.61[/tex]
[tex]Total = \$41.18[/tex]
This implies that Natalie pays a total of $41.18
Next, we calculate the change as thus:
[tex]Change = Amount - Total[/tex]
[tex]Change = \$50 - \$41.18[/tex]
[tex]Change = \$8.82[/tex]
Hence, the change is $8.82
Steve is looking up at Godzilla with an angle of elevation of 49 degrees. If Steve is 400 feet away, how tall is Godzilla to the nearest foot?
Answers
9514 1404 393
Answer:
460 feet
Step-by-step explanation:
The tangent relates the measures to the angle:
tan(angle of elevation) = (Godzilla height)/(distance away)
tan(49°) = (Godzilla height)/(400 ft)
Godzilla height = (400 ft)(tan(49°)) ≈ 460 ft
Godzilla is 460 feet tall.
Answer:
godzilla is 393 foot tall
Step-by-step explanation: