Answer:
The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0
The explanation of the answer is now provided as follows:
Given:
f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)
[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4
Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:
(e^z /4!)x^4 < 0.0001 ………………………………….. (2)
Multiply both sided of equation (2) by (1), we have:
e^4x^4 < 0.024 ……………………….......……………. (4)
Taking 4th root of both sided of equation (4), we have:
|xe^(z/4) < 0.3936 ……………………..........…………(5)
Dividing both sides of equation (5) by e^(z/4) gives us:
|x| < 0.3936 / e^(z/4) ……………….................…… (6)
In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:
|x| < 0.3936 -----> 0 < x < 0.3936
Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
Finish solving the system of equations.
x – 5y = 6
–x + 2y = –3
–3y = 3
What is the value of y?
Substitute the value of y back into one of the original equations to find the value of x. What is the value of x?
Answers: x = 1 and y = -1
Explanation:
Start where your teacher left off, which is -3y = 3.
We solve for y by dividing both sides by -3
That turns -3y = 3 into y = -1
Then we use this y value to find x
x - 5y = 6
x - 5(-1) = 6
x + 5 = 6
x = 6-5
x = 1
The solution is (x,y) = (1, -1)
Answer:
-1,1
Step-by-step explanation:
What statements are true about parallegram?
Select the equivalent expression.
(6-4.8-7)+"=?
please help me on this asap
The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.
a
length = 18 cm; width = 5 cm
b
length = 5 cm; width = 18 cm
c
length = 13 cm; width = 5 cm
d
length = 13 cm; width = 8 cm
Answer:
a.
Step-by-step explanation:
what rule changes input to output numbers
Answer:
C. 3x - 5
Step-by-step explanation:
The inputs are the values of x and the outputs are the values of y.
checking all options by placing any output as x and seeing if it gives the same output as in the table.
All options except C do not give the same output as in the table (ill show the working for option C you can do for yourself the rest ^^")
Let's take x = 4
placing it in 3x - 5
output (y) = 3(4) - 5
= 12 - 5
= 7
same as the output given in the table so the answer is C.
Which expression is equivalent to this polynomial?
16x2 + 4
A.
(4x + 2i)(4x − 2i)
B.
(4x + 2)(4x − 2)
C.
(4x + 2)2
D.
(4x − 2i)2
Answer:
A.
Step-by-step explanation:
C and D do not create any x² terms when doing the multiplications. so, they are out.
B stands for (a+b)×(a-b) = a² - b².
so, that would give us a "-4" at the end and is not fitting to the "+4" term at the end of the original expression.
that leaves us with A.
let's verify :
(4x+2i)(4x-2i)
it follows the same rule as B :
(a+b)(a-b) = a² - b²
a = 4x
b = 2i
you remember, i = sqrt(-1).
so, we get
(4x)² - (2i)² = 16x² - 4×(sqrt(-1))² = 16x² - 4×(-1) = 16x²+4
bingo !
Answer:
Step-by-step explanation:
the answer is A
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of $221 per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company $4900. Suppose for each ToughPix1 there is a 3% chance that it will need to be replaced exactly once, a 2% chance that it will need to be replaced exactly twice, and a 95% chance that it will not need to be replaced.
Answer:
Brad & Matthew can expect to lose money from selling these cameras of -$122
Step-by-step explanation:
Calculation to determine if it should expect to make or lose money from selling them and How much?
First step is to calculate the expected costs
Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)
Expected costs=$147+$196
Expected costs=$343
Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold
Expected Profit or loss =($221-$343)
Expected Profit or loss =-$122
Therefore it Should expect to LOSE money from selling them of the amount of -$122
Find the value of n.
PLEASE HELP ASAP!
Answer:
d .9
Step-by-step explanation:
n^2-3 = 2×39 (line joining midpoints is half of third line )
n^2 = 78+3
n^2 =81
n =9
the probability of spinning a 4 and a C is 1/4 x 1/3 = 1/12
predict how often "4" and "c" will occur after spinning both spinners 240 times
Answer:
[tex] \frac{1}{12} \times 240 = 20 \: times[/tex]
hi here is the answer, please give brainly I've been helping you
Answer:
Step-by-step explanation:
20 times
Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121
Answer:
La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:
(x - a)^2 + (x - b)^2 = R^2
Entonces si miramos a nuestra ecuación:
(x + 2)^2 + (y - 3)^2 = 121
Tendremos el centro en:
(-2, 3)
el radio está dado por:
R^2 = 121
R = √121 = 11
La gráfica de esta circunferencia se puede ver en la imagen de abajo.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
15.4
Step-by-step explanation:
sin 17° = 4.5 /x
x = 4.5 / sin 17° = 4.5 /0.2924
= 15.4
The value of the variable 'x' using the sine formula will be 15.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the sine of the angle ∠GIH. And the sine of an angle is the ratio of the normal and hypotenuse of the right-angle triangle. Then we have
sin 17° = 4.5 / x
x = 15.4
The value of the variable 'x' using the sine formula will be 15.4 units.
More about the right-angle triangle link is given below.
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Write a expression to represent each situation
Olivia bought 8 bags of fruit at the farmer's market. She put
a apples and b bananas in each bag.
Step-by-step explanation:
number of bags=8bags
which is the fruits=apples and bananas
total number of apples and bananas bag = 4 bag of each
What is the product of 3/5 and 25. Is the product more or less than 14? Explain your answer in complete sentences.
(3/5 is a fraction Not Disvison )
Answer:
15, The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15
Step 1: Set up equation
[tex]\frac{25}{1}*\frac{3}{5}[/tex]
Step 2: Cross reduce
you can cross reduce 25 and 5 because they are both share a common divisor
[tex]\frac{5}{1} *\frac{3}{1}[/tex]
Step 3: Multiply numerator and denominator together
[tex]\frac{15}{1}[/tex]
Final Answer:
15
The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15
please help a and b
Answer:
a=144.15
median=157.5
For what value of k will (k – 5)x²+ 2ky²-5x + 6y – 3 = 0 represents a circle? (
Answer:
This isn't going to be a circle even if we choose k to be -5.
I think there has to be an error in the question.
Step-by-step explanation:
We want the coefficient of x^2 and y^2 to be the same so we will want to solve:
k-5=2k
Subtract k on both sides:
-5=k
You should verify it will give a circle.
(k – 5)x²+ 2ky²-5x + 6y – 3 = 0 with k=-5:
(-5– 5)x²+ 2*-5y²-5x + 6y – 3 = 0
-10x²+ -10y²-5x + 6y – 3 = 0
Add 3 on both sides:
-10x²+ -10y²-5x + 6y = 3
Divide both sides by -10:
x²+ y²+5/10x -6/10y = -3/10
Gather the x's together and gather the y's together:
x²+5/10x+y²-6/10y = -3/10
We will begin to take steps to complete square for each the x part and the y part.
For each v^2+kv, add (k/2)^2 with goal to write as (x+k/2)^2. Remember whatever you do to one side you must do to the other.
x²+5/10x+(5/[2×10])^2+y²-6/10y+(-6/[2×10])^2 = -3/10+(5/[2×10])^2+(-6/[2×10])^2
Since radius square is not positive we can stop here. The radius has to be a real number after all. If you aren't convinced you can continue to write in center-radius form.
(x+1/4)²+(y-3/10)² = -3/10+1/16+9/100
(x+1/4)²+(y-3/10)² = -3/10+1/16+9/100
(x+1/4)²+(y-3/10)² = -59/400
if x/y=(3/5)^3÷(6/5)^0'find the value of (x/y)^2
Answer:
729/15625
Step-by-step explanation:
1. Evaluate the power
( (27/125) ÷ 1 )^2
2. divide
( 27/125 )^2
evaluate the power
( 27^2 / 125^2 )
729/15625
The two triangles below are congruent. Which of the following are congruent by CPCTC?
Answer:
B.
Step-by-step explanation:
If you put the second triangle upright then turn it over (as if you were flipping a pancake). That would make B equal to R.
C would equal S
A would equal T
and
B would equal R
Answer:
b = R, mark me brainiest cause we besties
Step-by-step explanation:
Michelle did a survey in four butterfly parks and wrote the following observations:
Answer:
A. 55%
Step-by-step explanation:
First we should make these into fractions
A. 33/60
B. 36/78
C. 40/89
D. 24/59
these are the fractions, The question wants us to pick the Park with the Greatest Percentage, Not The Greatest Amount, so Lets look at these fractions A. 33/60 Is 55% B. 36/78 is 46% . C. 40/89 is 44% D. 24/59 is about 40%
I also remember doing this on a quiz!!
need an answe asap!
Answer:
1. x = 54, y = 114,
missing angles => 66° and 114°
2. x = 42, y = 14,
Missing angles => 84°, 86°
3. x = 40, y = 50
Missing angles => 105°, 75°
Step-by-step explanation:
1. y° = 114° (corresponding angles are congruent)
(x + 12)° + y° = 180° (linear pair angles)
Substitute
x + 12 + 114 = 180
x + 126 = 180
Subtract 126 from each side
x = 180 - 126
x = 54
✔️Find the missing angles by plugging in the values of x and y in each case
(x + 12)° = 54 + 12 = 66°
y = 114°
2. ✔️Find x:
(2x)° + 96° = 180° (consecutive interior angles are supplementary)
Subtract 96 from each side
2x = 180 - 96
2x = 84
x = 84/2
x = 42
✔️Find y:
(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)
3y + 44 + 94 = 180
3y + 138 = 180
3y = 180 - 138
3y = 42
y = 42/3
y = 14
✔️Missing angles:
(2x)°
Plug in the value of x
= 2(42) = 84°
(3y + 44)°
Plug in the value of y
3(14) + 44 = 86°
3.
✔️Find x:
3x - 15 = 105 (corresponding angles are congruent)
3x = 105 + 15
3x = 120
x = 120/3
x = 40
✔️Find y:
(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)
Plug in the value of x to solve for y
3(40) - 15 + y + 25 = 180
120 - 15 + y + 25 = 180
Add like terms
130 + y = 180
y = 180 - 130
y = 50
✔️Missing angles:
(3x - 15)°
Plug in the value of x
3(40) - 15 = 105°
(y + 25)°
Plug in the value of y
50 + 25 = 75°
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
According to Class 8 please solve
Answer:
a) Rs 22
b) 4 liter
hope it helps
Answer:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
Step-by-step explanation:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
11/2 litre = 5.5 litre
RS 121/2 = 60.5
5.5 litre milk = Rs 60.5
(i) 1 lire milk = 60.5/5.5 = 11
(i) 1 litre milk rate is Rs 11
(ii) 1 litre = Rs 11 , Rs 88 = 88/11 litre , 8 litre
(i) part answer = Rs 11
(ii) part Answer = 8 litre milk
Solve |x +6| – 7 = 8.
Answer:
[tex](x + 6) - 7 = 8[/tex]
[tex]x + 6 - 7 = 8[/tex]
[tex]x - 1 = 8[/tex]
[tex]x = 8 + 1[/tex]
[tex]x = 9[/tex]
In the diagram below, OP is circumscribed about quadrilateral ABCD. what is the value of x?
This is because the opposite angles of any inscribed quadrilateral (aka cyclic quadrilateral) are always supplementary. So x+130 = 180 solves to x = 50.
If OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
A quadrilateral is inscribed insider a circle with centre p.
ABCD is a quadrilateral
We have to find the value of x.
As we know that the sum of the opposite side measures is 180 degrees.
m∠A + m∠C = 180
x + 130 =180
Subtract 130 from both sides
x = 180-130
x= 50 degrees.
Hence, if OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.
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HURRY I NEED HELP. ASAP.
What are the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
here is the answer friend
Factorise 2ab+2ac. Please
Answer:
2a(b+c)
Step-by-step explanation:
Find HCF (2a)
Then factorise
Answer:
2a(b+c)
.............
Instructions. Find the Area Of the square
Wrong answer Report
Right answer Heart
19.ans> Given,
Side = 9 m
To,find: Area
We,know that,area of the square is = (side)²
We,know that,area of the square is = (side)² = 9×9
We,know that,area of the square is = (side)² = 9×9 = 81 m
20.ans> Given,
Side= 7 cm
We,know that,area of the square is = (side)²
We,know that,area of the square is = (side)² = 7 × 7
= 49 cm
Hope it helps you ByePlease decide !!!!!!
Which of the following inequalities matches the graph?
Answer:
second one
Step-by-step explanation:
just read where the purple line finishes on the x axis, in this case it’s 5 so it’s greater than 5 or equal to it.
A study was conducted that showed strong positive correlation between eating strawberries and the number of freckles on a person's face. Can we say that eating strawberries causes freckles? Explain. Hint: Think about what causes freckles to be more visible. Name a lurking variable for this situation.
Answer:
No
Step-by-step explanation:
No we cannot say that eating strawberries causes freckles. The question says that the study showed a strong positive correlation. The answer is no because a positive correlation does not mean that there is a causation. When two things are said to correlate, it does not mean that one causes the other, correlation between two things could be as a result of another third variable that affects the both of them. The lurking variable here is going to be sunlight. this is because sunlight exposure affects both variables by causing increases in the growth of strawberries and freckles.
The answer to whether eating strawberries causes freckles is; No, it doesn't cause freckles
What is a lurking variable?
A lurking variable is an explanatory variable that was not considered in a study, but yet affects the value of the response variable in the study.
In this question, the lurking variable is going to be sunlight due to the fact that sunlight exposure affects both variables by causing increase in the growth of strawberries and freckles.
Thus, we can conclude that there is no way we can say that eating strawberries causes freckles due to the fact that a positive correlation does not mean that there is a causation.
Read more about Lurking variables at; https://brainly.com/question/14289293
