let f be the function given by f(x)=sin x + e^-x +3x. which of the following statements is true for y=f(x).
Answers
Applying derivatives, it is found that the correct options are:
A. [tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]
D. [tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]
The function given is:
[tex]f(x) = \sin{x} + e^{-x} + 3x[/tex]
It's first four derivatives are:
[tex]y^{\prime}(x) = \cos{x} - e^{-x} + 3[/tex]
[tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]
Hence, option A is correct.
[tex]y^{\prime\prime\prime}(x) = -cos{x} - e^{-x}[/tex]
[tex]y^{\prime\prime\prime}(x) \neq y^{\prime}(x)[/tex], hence, option B is incorrect.
[tex]y^{\prime\prime\prime\prime}(x) = sin{x} + e^{-x}[/tex]
It is not the multiplication of the first and of the third derivative, hence option C is incorrect.
[tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]
[tex]\sin{x} + e^{-x} + 3x - \sin{x} - e^{-x} = 3x[/tex]
[tex]3x = 3x[/tex]
Hence, option D is correct.
A similar problem is given at https://brainly.com/question/17042788
Related Questions
You make $85,000 per year and your company matches 50 cents for every dollar you deposit into your 401k plan, up to %5 of your salary. If you contribute $300
every month to your 401k, what will your company contribute each month?
Answers
Answer:
$150 each month
Step-by-step explanation:
divide 300 in half because they contribute 50¢ per dollar
trevin puts 8 gallon of gas
Answers
Answer:
good for trevin?
Step-by-step explanation:
we'll need more to go on haha
A hiker starts at an elevation of 12 feet above sea level. She descends 43 feet into an
underground cave to explore. While exploring, she slips and slides 17 feet further down
into the cave. Write an expression that can be used to model this situation and evaluate
it to determine her location below sea level.
Answers
Answer:
if its asking for final depth it is 48 fert below sea level
Step-by-step explanation:
43 + 17= 60
12 - 60 = 48
Translate the sentence to an equation. Then solve and check.
3/4 of a number is equal to 36.
The equation is [?] . (Type an equation using x as the variable.)
The solution is x= [?] . (Simplify your answer.)
Answers
Suppose that x is that number thus:
[tex] \frac{3}{4} x = 36 \\ [/tex]
Multiply both sides by 4
[tex]4 \times \frac{3}{4} x = 4 \times 36 \\ [/tex]
[tex]3x = 144[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{144}{3} \\ [/tex]
[tex]x = 48[/tex]
There u go...
Have a great day ❤
Step-by-step explanation:
3/4 of x=36
the equation is algebra
3/4×x=36
3/4x=36
36×4/3
=28
thanks in advance big boys
Answers
Answer:
The answer is sides are congruent by the reflexive property
Step-by-step explanation:
The answer is sides are congruent by the reflexive property because the two red lines on the triangles represnt that they are congruent. The reason teh fourth one can be a correct answer, but it is not, is because the angles are not vertical. The angles would hav eto be in teh middle of the triangle and congruent, to be right. So it is a reflexive property.
Sorry for any gramatical or spelling mistakes!
The table below provides the values of the functions g(t) and h(t) for
several values of t.
Which of the following is a solution to the equation f(t)=h(t)
Answers
Answer:
D) t = 5
Step-by-step explanation:
when t =5 both functions have the same x and y value
How is sin 10° = cos 80°??
Answers
Check the picture below.
Answer:
See below.
Step-by-step explanation:
Location is Q1
Angle is less than 90
cos Ф = sin(90° - Ф)
cos 80° = sin (90° - 80°)
cos 80° = sin 10° set your calculator in degree mode
Check
cos 80° = 0.1736481777
sin 10° = 0.1736481777
When a common denominator is found for the fractions 2/5 and 5/6, what will the equivalent fractions be
Answers
The equivalent fractions will be 12/30 and 25/30
Given the fraction 2/5 and 5/6
Their respective denominator are 5 and 6To make them the same, we will multiply the value of 5 by 6 and the value of 6 by 5
For the deniminator of 5, the equivalent denominator is (5*6) = 30
For the denominator of 6, the equivalent denominator is (6*5) = 30
Equivalent fraction for 2/5 = 2/5 * 6/6
Equivalent fraction of 2/5 = 12/30Equivalent fraction for 5/6 = 5/6 * 5/5
Equivalent fraction of 2/5 = 25/30Hence the equivalent fractions will be 12/30 and 25/30
Learn more on fractions here: https://brainly.com/question/17743912
WILL GIVE BRAINIEST IF CORRECT
Which of the following doesn't belong? Explain.
Answers
Step-by-step explanation:
a. 5x² - 80
b. 5(x² + 4x - 4x -16)
5(x² - 16)
5x² - 80
c. 5x² - 20x + 20x - 80
5x² - 80
d. 5x² - 11
D doesn't belong because 5x² - 11 is not the answer to A, B, or C.
Nate biked 54 miles in 4 1/2 hours. What was Nate’s average speed in miles per hour.
Answers
Answer:
12mph
Step-by-step explanation:
You must divide the 54 miles by the 4 1/2 hours which will give you 12mph
2/-2.5+4.1+1.2(3+6)/-0.1
Answers
Answer:
-104.7Step-by-step explanation:
2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =
-0.8 + 4.1 + 10.8 : (-0.1) =
-0.8 + 4.1 + (-108) =
3.3 - 108 =
-104.7
Finding the limit on Mathematica. How do I type this in Mathematica?
Answers
See the documentation for the Limit symbol for more info.
i. Limit[(t^3 + 3t^2 - 12t + 4)/(t^3 - 4t), t -> 2]
ii. For a one-sided limit, is the Direction option.
Limit[(y + 6)/(y^2 - 36), y -> 6, Direction -> -1]
The option value -1 essentially means we treat y as if it's greater than 6, so its value has to decrease in order to approach 6.
pree point sa inyong lahat
Answers
Answer:
Thanksss
Step-by-step explanation:
:)
Answer:
thanks lol
Step-by-step explanation:
-3, -8, -13, -18,.. Find the nth term
Answers
Answer:
The nth term of the sequence is -5n + 2 (or 2 - 5n)
Answer:
[tex]a_{n}[/tex] = - 5n + 2
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = - 5 , then
[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2
what i ls the value of
[tex]\pi[/tex]
Answers
Step-by-step explanation:
π can be taken as approximation of 22/7 ≈ 3.14
Solve for the value of p.
(6p-2)
न
(3p-7)|
Answers
Answer:
The sum of angles on a straight line is 180 degrees.
Therefore,
[tex](6p-2)+(3p-7)=180[/tex]
[tex]6p-2+3p-7=180[/tex]
[tex]9p-9=180[/tex]
[tex]9p=189[/tex]
[tex]p=21[/tex]
Given:
∠1 and ∠2 are supplementary angles
Prove:
l || m
Answers
Hello
just a second
people reading this please complete because you will help me a lot.
I am an Indian girl my name is Lamer and am 13 years old.
I Just got this new device after working at a farm for 2 years.
I used to use brainly at my friend device she had money to buy brainly plus.
I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.
It is impossible to solve this mixture problem: How many gallons of a 10% solution would need to be
added to a 20% solution to obtain a 30% solution.
True or False?
Answers
Answer:
false
Step-by-step explanation:
How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?
2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?
Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
A. 25
B. 30
C. 75
D. 83
Answers
Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times
Step-by-step explanation: Please mark brainliest
Answer:
75 -- i think
Step-by-step explanation:
let me know if im right.
w+2/2 + 2 = w-5/3 solve for w
Answers
Answer:
w = -28
Step-by-step explanation:
[Given] w+2/2 + 2 = w-5/3
[Rewrite] [tex]\frac{w+2}{2} +2=\frac{w-5}{3}[/tex]
[Break up fraction] [tex]\frac{w}{2}[/tex] + [tex]\frac{2}{2}[/tex] + 2 = [tex]\frac{w-5}{3}[/tex]
[Combine like terms] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w-5}{3}[/tex]
[Break up fraction #2] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w}{3}[/tex] + [tex]\frac{-5}{3}[/tex]
[Add [tex]\frac{-5}{3}[/tex] to both sides] [tex]\frac{w}{2}[/tex] + [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex]
[Subtract [tex]\frac{w}{2}[/tex] from both sides] [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex] - [tex]\frac{w}{2}[/tex]
[Common denomiator of 6] [tex]\frac{14}{3}[/tex] = [tex]\frac{2w}{6}[/tex] - [tex]\frac{3w}{6}[/tex]
[Subtract #2] [tex]\frac{14}{3}[/tex] = [tex]\frac{-w}{6}[/tex]
[Multiply both sides by 6] 28 = -w
[S ubtract 28 from both sides & add w to both sides] w = -28
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
On two investments totaling $14,000, Peter lost 4% on one and earned 6% on the other. If his net annual receipts were $312, how much was each investment?
Answers
Answer:
5280 , 8720
Step-by-step explanation:
suppose the one is x, another is y
x+y=14000
y(6%)-x(4%)=312
x=5280
y=8720
net annual receipt means the income so you have to substract the lost from the gains
Need help !! From mathematics only
Answers
Answer:
1) 9h² - 3h + 2h² when h= -1
11h²- 3h
11(-1)²-3(-1)
11+3
14
2) -6m + 3t +2m² when m= 3 and t=-1
-6( 3) +3(-1)+2(3)²
-18 -3 +18
-3
3) 7g² - 2c³/ 3g - c² when g=2 and c= -1
7(2)² - 2(-1)³ / 3(2) - (-1)²
28 +2 / 6-1
30/5
6
Why are integers rational numbers
Answers
Answer:
Because integers don't have decimals. An irrational number has a forever repeating decimal (that is random).
Step-by-step explanation:
Which expression is equivalent to (1/square root y)^-1/5
Answers
Answer:
y^(1/10).
Step-by-step explanation:
(1/√y)^-1/5
= (y ^-1/2)^-1/5
= y^(-1/2 * -1/5)
= y^(1/10)
Answer:
Step-by-step explanation:
(1/sqrt(y) )^-1/5 To get rid of the minus, turn the sqrt(y) over.
(sqrt(y))^1/5 Represent the square root of y as y^(1/2)
(y^(1/2))^(1/5) Multiply the powers
y ^ 1/10
Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the
center of the target. Tory's distances from the center of the target are approximately Normally distributed with a
mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally
distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for
Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is
more than for Adam?
O 0.3113
O 0.4923
O 0.6887
O 0.7427
Answers
Answer:
0.6887
Step-by-step explanation:
Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
What is normal distribution?
Normal distribution is "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
Tory's distances from the center of the target are normally distributed with a mean of 123mm and a standard deviation 31mm. Number of attempts for Tory is 5.
Adam's distances from the center of the target are with a mean of 108mm and a standard deviation 47mm. Number of attempts for Adam is 3.
In order to find the probability of that mean distance from the center of the target for Tory is more than for Adam.
Normal distribution z = (x-μ)/σ x ~ (μ,σ)
When x = 108
z = (123 - 108)/47 [Adam's distances from the center of the target are normally distributed with a mean of 108mm and a standard deviation of Adam is 31mm.]
= 0.3191
P(x > 108) = P(z > - 0.3191)
= 1 - 0.3191 [since the probability of the normal curve is 1 and to find the area under tory mean is greater than the Adam mean only if we subtract 1 from z value]
= 0.6887
Hence, Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
Learn more about Normal distribution here
https://brainly.com/question/11943392
#SPJ2
If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51
Answers
Step-by-step explanation:
q is inversely to p and we need to add k as the constant..
then find value of k by sub the value of p and q
after that sub the value of k and p to find q
Suppose the average price of the market basket for toddler toys was $737.75 in 1994 and $801.93 in 2000 for the same basket. Calculate the inflation rate over this period. (Round your answer to the nearest hundredth of a percent.)
Answers
Answer:
0.014
Step-by-step explanation:
Minused old price from New then divided the answer by the old price then divided that by 6 to get yearly inflation
Answer:
Knewton as of May 15, 2022 8.70%
Step-by-step explanation:
which one of the congruency statements are true?
Answers
Answer:
line segment BC=line segment XY
Step-by-step explanation:
The last choice :)
Wind forms desert pavement through ___.
A. sublimation
B. random acts of kindness
C. deposition
D. erosion
Answers
Answer:
D. erosion
Step-by-step explanation:
The wind is a stronger erosional force in arid regions than it is in humid regions because winds are stronger. In humid areas, water and vegetation bind the soil so it is harder to pick up. In arid regions, small particles are selectively picked up and transported. As they are removed, the ground surface gets lower and rockier, causing deflation. What is left is desert pavement, a surface covered by gravel-sized particles that are not easily moved by wind.
Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD
Answers
Answer:
AUB={1,2,3,4,5,7,8,9}
ALL THE NUMBERS WITHOUT REPEATING
AnB={5}
THE NUMBER THE HAVE IN COMMON
(AnB)n(BnC)={5}not too sure
CUD={1,3,6,7,8,10}