Answers
The value of given function is f'(x)=4 e^sin(x)cos (x)
WHAT IS DERIVATIVE?The derivative is what calculus is all about. The instantaneous pace at which a function changes with regard to one of its variables is known as the derivative. Finding the slope of the tangent line to the function at a given point is equal to doing this.
CALCULATIONf'(x) = d/dx ( 4 e^sin(x))
using differential rule d/dx (a x f ) = a x d/dx(f)
f'(x) = 4 x d/dx ( e ^ sin(x))
use the chain rule
f'(x)= 4 x d/dg ( e^g) x d/dx (sin (x))
f'(x)= 4 e^g x d/dx (sin (x))
f'(x)= 4 e^g x cos (x)
f'(x)=4 e^sin(x) x cos (x)
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Related Questions
Diet cola was on sale last week; it cost $10 for every 4 liters of diet cola. How many liters do you get per dollar?
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Answer:
you get 0.4 litres for every dollar
What is the value of f(x)=5-1/2 when x =4
Answers
Answer:
9/2
Step-by-step explanation:
f(x)=5-1/2
plug in 4
f=9/2
9/2
pleasee helppp insert two arithnetic means between -5 and 1
Answers
Answer:
a₂ = -3
a₃ = -1
Step-by-step explanation:
We have to insert two arithmetic means between -5 and 1
Let a₁ and b₂ be the two arithmetic means between -5 and 1
-5, a₂, a₃, 1
Here,
a₄ = 1a₁ = -5We know that the nth term of an Arithmetic sequence
aₙ = a₁ + (n-1)d
a₄ = -5 + (4-1)d
1 = -5 + 3d
1 + 5 = 3d
3d = 6
Dividing both sides by 2
d = 2
Also
a₂ = a₁ + (2-1)d
a₂ = -5 + d
a₂ = -5 + 2 ∵ d = 2
a₂ = -3
a₃ = a₁ + (3-1)d
a₃ = -5 + 2d
a₃ = -5 + 2(2) ∵ d = 2
a₃ = -5 + 4
a₃ = -1
Thus,
a₂ = -3
a₃ = -1
Thus, the sequence becomes:
-5, -3, -3, 1
What system of equations is shown on the graph below?
On a coordinate plane, 2 lines intersect around (1.8, negative 0.8).
2 x + y = 3 and 3 x minus 4 y = 8
2 x minus y = 3 and 3 x + 4 y = 8
2 x + y = 3 and 3 x minus 4 y = 2
2 x minus y = 3 and 3 x minus 4 y = negative 2
Answers
Answer:
i thnk it is c correct me if i am rong
Step-by-step explanation:
Answer:
(C) I got it right
Step-by-step explanation:
on edge
Please help I give 20 points please no fake answers =/
Answers
Answer:
1 4/5
Step-by-step explanation:
1500 as a mixed number, please help QUICK
Answers
Answer:
divid 1500 to 50
Step-by-step explanation:
Answer: 1500 0/0
Step-by-step explanation:
How far would the plane fly in t hours at this speed
Answers
Answer: 610 MPH
Step-by-step explanation:
915 divided by 1.5=610 MPH
610 divided by 2=305 MP Half n Hour
610+305=915
Which digit is in the thousandth place? 134.927
Answers
Answer:
.007 is in the thousandths place.
Step-by-step explanation:
In decimals it goes tenths, houndredths, thousandths, and so on.
The Blacktop Speedway is a supplier of automotive parts. Included in stock are 5 speedometers that are correctly calibrated and two that are not. Three speedometers are randomly selected without replacement. Let the random variable
x
represent the number that are not correctly calibrated.
Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.)
x=0,1,2,3
p(x)=
Find the mean of this probability distribution. (Appropriate rounding rules apply.)
mean =
Answers
The Probability distribution table is;
x P(x)
0 0.4167
1 0.5
2 0.0833
3 0
How to create probability distribution table?The speedometers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
P(X = x) = h(x, N, n, k) = C_k,x * C_n - k, n - x)/(C_N,n)
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
7 + 2 = 9 speedometers, which means that N = 9
2 are not correctly calibrated, which means that k = 2
3 are chosen, which means that n =3
Complete the probability distribution table.
Probability of each outcome.
P(X = 0) = h(0, 9, 3, 2) = 0.4167
P(X = 1) = h(1, 9, 3, 2) = 0.5
P(X = 2) = h(0, 9, 3, 2) = 0.0833
P(X = 3) = h(0, 9, 3, 2) = 0
Probability distribution table:
x P(x)
0 0.4167
1 0.5
2 0.0833
3 0
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A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces being sold are 8^3 square miles in size. How many smaller pieces of land can be sold at the stated size? Compute the actual number of pieces.
HELLPP PLS !!!
Answers
The number of smaller pieces of land that can be sold at the stated size is 2^6
How many smaller pieces of land can be sold at the stated size?The given parameters are:
Total area = 2^15 square miles
Smaller piece = 8^3 square miles
The number of smaller pieces of land that can be sold at the stated size is
Number = Total area/Smaller piece
So, we have:
Number = 2^15/8^3
Rewrite as
Number = 2^15/2^9
Apply the law of indices
Number = 2^6
Hence, the number of smaller pieces of land that can be sold at the stated size is 2^6
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a) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n for some constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3, and assume its density function is fx(x)- B(x2 +1) with some constant B (0< x ,3). Find B.
Answers
Answer:
a) The value of A = 2
b) The value of [tex]B = \dfrac{1}{12}[/tex]
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.
Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]
This implies that:
[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]
[tex]A \times \dfrac{1}{2}=1[/tex]
A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:
[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]
where; B is constant.
Then, using the property of the probability density function:
[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]
Taking the integral, we have:
[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]
[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]
[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12
[tex]B = \dfrac{1}{12}[/tex]
Use slopes to determine if the lines -7x + 3y = 2 and -3x + 7y = 1 are perpendicular
Answers
The slopes of the given lines -7x + 3y = 2 and -3x + 7y = 1 are not perpendicular to each other .
The slope of a line is the ratio of how much y increases when x increases by a certain amount. Slope indicates the slope of the line, i.e. how much y increases as x increases. The slope is constant (the same) everywhere along the straight line. The slope intercept of the straight line is used to find the equation of the straight line. The slope intercept formula requires knowing the slope of the line and the intersection of the line with the y-axis. Consider a straight line with slope 'm' and y-intercept 'c'. The slope-intercept shape formula for a straight line with slopes 'm' and 'c' as y-intercept is given as y = mx + c.
We have given two equation of lines -7x + 3y = 2 ....(1) and -3x + 7y = 1 ....(2) 3y = 7x +2
y = 7x/3 +2
On comparing with slope intercept form y = mx + c , we get slope of equation (1) m₁ = 7/3
7y = 3x +1
y = 3x /7 +1
On comparing with slope intercept form y = mx + c , we get slope of equation (2) m₂ = 3/7
If the lines are perpendicular to each other , then their product of slope will be equal to -1 which is given by
m₁ × m₂ = -1
7/3 × 3/7 = -1
1 ≠ -1
Hence the given lines are not perpendicular to each other.
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Choose a system of equations with the same solution as the following system:
4x − y = −11
2x + 3y = 5
A. 12x − 3y = −33
10x − 6y = −38
B. −4x − 9y = −21
−2x − 7y = −27
C. 4x + 3y = 5
10x + 5y = −1
D. 2x − 4y = −16
4x − 4y = 44
please help 100points!!!!
And i will make brainlest
only if the answer is right and there is a good explanation....
Answers
Answer:
Hope it can help you and Mark me as a brainlist....
To offer scholarships to children of employees, a company invests $10,000 at the end of every 3 months in an annuity that pays 8% compounded quarterly.
a) how much will the company have in scholarship funds at the end of ten years?
b) find the interest
Answers
The amount the company will have in scholarship funds at the end of ten years is $604,019.83.
The interest is $204,019.83.
How do we calculate scholarship funds amount and interest?a) The amount the company will have in scholarship funds at the end of ten years can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = P * (((1 + r)^n - 1) / r) ................................. (1)
Where,
FV = Future value or the scholardhip amount after 10 years =?
P = Quarterly payment or payment at the end of every 3 months = $10,000
r = Quaterly interest rate = 8% / 4 = 2%, 0.02
n = number of periods = number of quaters in a year * 10 = 4 * 10 = 40
Substituting the values into equation (1), we have:
FV = $10,000 * (((1 + 0.02)^40 - 1) / 0.02)
FV = $604,019.83
b) The interest can be found as follows:
Total payment = P * n = $10,000 * 40 = $400,000
Interest = FV - Total payment = $604,019.83 - $400,000 = $204,019.83
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The variables y and x have a proportional relationship, and y = 7 when x = 2 What is the value of x when y = 212 Enter your answer in the box x = 1
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Answer:
proportional relational ship
y= kx
7 = k2
solve for k
7/2 =k
y = 7/2 x
if y = 21
21 =7/2 x
solve for x
multiply by 2/7 on each side
21* 2/7 = 2/7*7/2 x
6 =x
Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles. Approximately what is the length in centimeters of the Mississippi River on the map?
Answers
Considering the definition of scale, the length of the Mississippi River on the map is 96.667 cm.
Definition of scaleThe scale of a cartographic representation, or map scale, is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map.
Scale is the relationship between a real object (for example, the surface of the Earth or a portion of it) and the representation that is made of it.
The scale is represented as a fraction as follows: measured on the map/measured in reality
Length of the Mississippi River on the mapIn this case, you know that:
The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles.Considering the definition of scale, you can calculate the length of the Mississippi River on the map as follow:
5 cm/ 120 miles= measured on the map/2320 miles
(5 cm/ 120 miles)× 2320 miles= measured on the map
96.667 cm= measured on the map
Finally, the length of the Mississippi River on the map is 96.667 cm.
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Mark had an essay due on Friday. He worked on the essay for 1.5 hours on Thursday and 4.25 hours on Fridays. How many hours did he work on the essay Thursday and Friday combined?
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Answer:
He worked for 5.75 hours
Step-by-step explanation:
Help please due soon
Answers
2. y=-1
3.t=2
4. d=2.1
5.k=0
6. -13 1/3
Answer:
1. H=6
2. Y= -1
3. T= 2
4. D= 2.1
5. K= 0
6. -13 1/3
Step-by-step explanation:
which statement is true about the points p and p
Answers
Answer:
They are equal
Step-by-step explanation:
Figure out the probability below (ONLY REAL ANSWERS PLEASE)
Answers
Answer:
2/35
Step-by-step explanation:
fifteen total, 4 live in Gaston
so
4/15 times 3/14
because there is only 14 left to be selected and 3 left in Gaston
so 0.05714285714
or 2/35
Please help! Use the number line to compare the numb Drag and drop the numbers to place them in increasing order. -1.7, 1.9, -0.8, 0.9
Answers
What are fractions? Plz help
Answers
Manuel saved $375 in 6 months. At this rate, how much will he save in 2 years?
Answers
There are 12 months in a year
12 / 6 = 2 so it’s half
Add 375 4 times which would give me the answer
- If this helped I would appreciate it if you marked this brainlest
What is the value of 9 by the power of 2+ 3 by the power of 3 - 30 divided by 6?
HELP MEH PLS!!! I will give Brainlyest to whoever answers first and correctly. Also tell me if I’m wrong dose this ^ symbol mean division?!?!
Answers
I do not know how to do this but i can tell you ^ means exponent not division. So 3^2 would be the same as [tex]3^{2}[/tex]
Need help finding the measures
Answers
M1. 43 degrees (plug x and solve)
M4. 60 degrees (definition of an equilateral triangle, every angle is 60 degrees)
M5. 60 degrees
M6. 60 degrees
M9. 43 degrees (plug x and solve)
M3. 180 degrees minus angle m4 = 120 degrees(looks like it too )
M2. 180-(43+120) = 17 degrees
M8. Pretty much m3 = 120
M7. Pretty much m2 = 17 degrees
I hope nothing wrong with my math but the logic should be sound !
Angle (2+5+7)= 180 - 2(43) = 94 degrees
Angle 2
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry blank. Column 5 is labeled Ratio with entry blank. Column 6 is labeled Percent Error with entry blank. How much was the absolute error in his estimate? $ John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry blank. Column 5 is labeled Ratio with entry blank. Column 6 is labeled Percent Error with entry blank. How much was the absolute error in his estimate? $
Answers
Answer:200
Step-by-step explanation:
All you have to do is add.
Answer:
25
Step-by-step explanation:
because its simple math
anyways have an nice day
A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile? 1 2 4 7
Answers
Answer:
7
Step-by-step explanation:
Bluegreen
Bluered
Blueyellow
Greenblue
Greenred
Greenyellow
Redblue
Redgreen
Redyellow
Yellowblue
Yellowgreen
Yellowred
Answer: 7
Step-by-step explanation:
Took on computer
It is 2.1 km from Jessica's house to the nearest mailbox. How far is it in meters?
Be sure to include the correct unit in your answer.
Answers
Answer:
2100 meters
Step-by-step explanation:
REMEMBER: 1 km = 1000 m
2.1 km x 1000= 2100 meters
hope this helps ;)
Divide 2x^4+5x^3+11x^2+8x by x^2+x
Answers
Give two different names for the line shown in the
diagram below.
Answers
Answer: segments and rays
Step-by-step explanation: