Answers
Given:
[tex]sinh(f(x))=1+x^2[/tex]
To find:
The value of f'(x).
Solution:
Formulae used:
[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]
[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]\dfrac{d}{dx}C=0[/tex]
Chain rule:
[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]
Where C is an arbitrary constant.
We have,
[tex]sinh(f(x))=1+x^2[/tex]
Differentiate with respect to x.
[tex]cosh(f(x))f'(x)=0+2x[/tex]
[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]
Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].
Related Questions
Distribute 6 ( 0.4x + 5)
Answers
Answer:
2.4x+30
Step-by-step explanation:
(6*0.4x)+(6*5)
2.4x+30
what percent of the population has an IQ score between 115 and 130?
Answers
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
9 mi
12 mi
What is the length of the hypotenuse?
miles
Answers
A fraction is shown. HHH 1 What fraction is shown on the number line? 5 O A 6. OB. 을 Ос. OD. ОЕ.
Answers
Answer:
huh?
Step-by-step explanation:
Kate is 5 feet 2 inches tall.
Alice is 1.57 metres tall.
Alice says that she is taller than Kate.
Use the conversions below to decide if Alice is correct.
12 inches = 1 foot
1 inch = 2.5 centimetres
if someone could help me with this it would be really helpful
Answers
Answer:
Alice is wrong kate is taller than Alice
Step-by-step explanation:
because Alice is 5'1 and Kate is 5'2
I need some help!! I will try to give brainliest!!!
Answers
Answer:
x = 35
y = 95
Step-by-step explanation:
(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.
(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.
Answer:
x = 85, y = 45
Step-by-step explanation:
solving for x:
180 - 95 = 85
solving for y:
85 + 50 = 135
180 - 135 = 45
Good luck on your schoolwork
Solve. *25 points*
1/2 divided by 2/3 =?
Answers
Answer:
The answer is 3/4
Step-by-step explanation:
When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.
A teacher wrote this experssion on the board (-6)(2)+(-8÷4) what is the vaule of this expression
Answers
Answer:
-14
Step-by-step explanation:
(-12)+(-2)
You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)
The answer is the two values added together.
Jay had three cupcakes he divided the cupcakes by 1/3 how many pieces of cupcakes does Jay have now
Answers
Answer:
9
Step-by-step explanation:
if one cupcake is split into 3 pieces *1/3 per piece* then 3 cupcakes would be 9 slices in total *3x3=9*
A box holds 30 tins How many boxes can be filled
with 810 tins
Answers
WILL MAKE BRAINLIEST!!
find the slope of each line
Answers
Answer:
17) [tex]- \frac{3}{2}[/tex]
18) [tex]\frac{5}{4}[/tex]
19) [tex]-\frac{1}{2}[/tex]
20) [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + b
y = (x , y)
x = (x , y)
slope = m
b = y-intercept
~
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
17) -4y + 16 = 6x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 16 from both sides of the equation:
-4y + 16 (-16) = 6x (-16)
-4y = 6x- 16
Next, divide -4 from both sides of the equation:
(-4y)/-4 = (6x - 16)/-4
y = (6x)/-4 + (-16)/-4
y = -3x/2 + 4
Slope: [tex]-\frac{3}{2}[/tex]
~
18) 0 = -12y -36 + 15x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 12y to both sides of the equation:
0 (+12y) = - 12y (+12y) + 15x - 36
12y = 15x - 36
Next, divide 12 from both sides of the equation to isolate the variable, y:
(12y)/12 = (15x - 36)/12
y = (5/4)x - 3
Slope: [tex]\frac{5}{4}[/tex]
~
19) 3x = -6y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -6 from both sides of the equation:
(3x)/-6 = (-6y)/-6
y = 3x/-6
y = -(3/6)x
Simplify. Divide common factors from both the numerator and denominator.
-(3/6)/(3/3) = - 1/2
Slope: [tex]-\frac{1}{2}[/tex]
~
20) -2x -5 = -5y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -5 from both sides of the equation:
(-2x - 5)/-5 = (-5y)/-5
y = (-2x - 5)/-5
y = (2/5)x + 1
Slope: [tex]\frac{2}{5}[/tex]
Ms. Parker determined that the mean test score in her first-period class
was 81 with a standard deviation of 7.06. The mean test score in her
second-period class was 88 with a standard deviation of 8.24. Which
conclusion can be made about her students' test scores?
A Period 2 had scores that were less spread out around the mean than
Period 1.
B. Period 1 had scores that were less spread out around the mean than
Period 2.
C. Period 2 had scores that were less spread out around the median than
Period 1.
D
Period 1 had scores that were less spread out around the median than
Period 2.
Answers
Answer:
B. Period 1 had scores that were less spread out around the mean than
Period 2
Step-by-step explanation:
Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.
please help me with this question:(
Answers
So you use Law of Cosines to calculate the unknown side. (b)
Answer: 3.88
a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents.b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion
Answers
Answer:
The corresponding p - value will be is < 0.00001 which is less than 0.05
Step-by-step explanation:
Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014
For the probability that the survey will provide a sample proportion within 6.03 of the population proportion
we will find the z statistic
z= p^-p/√p(1-p)/n
But √p(1-p)/n= 0.014 and p^-p= 6.03
Putting the values
z= 6.03/0.014= 430.71
The corresponding p - value will be is < 0.00001 which is less than 0.05
three times four and four fifths
Answers
Answer:
the answer is 12.8
Step-by-step explanation:
Answer:
14 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
3*4 [tex]\frac{4}{5}[/tex]
4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]
[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]
[tex]\frac{72}{5}[/tex] to a mixed number
[tex]\frac{72}{5}[/tex]= 14.4 =14
72-(5*14)=2
14 [tex]\frac{2}{5}[/tex]
ZA and B are supplementary angles.
If ZA measures 45°, then what is the measure of ZB?
1. 35
2. 45°
3. 135
4. 145
Answers
Answer: 3. 135°
Step-by-step explanation: supplementary angles are angles that add up to 180° thus 180-45=135
Hope this helped!
What is 15/7 an mixed number
Answers
[tex]2 \frac{1}{7} [/tex]
is the answer
Answer:
answer: 2 1/7
Hope this helps
Emilio is drawing a graph that shows the weight of a baby elephant during the first 6 months of its life. What is the meaning of the point shown on the graph?
Ruby's Weight
A graph has age (months) on the x-axis, and weight (pounds) on the y-axis. A point is at (1, 80).
Answers
Using the function concept, it is found that the meaning of the point is that the weight of the elephant during the first month is of 80 pounds.
What is a function?In a function, represented by a set of ordered points (x,y), one value of the input x can be related to only one value of the output y.
In this problem, x is the age in months, while y is the weight in pounds, hence the meaning of point (1,80) is that the weight of the elephant during the first month is of 80 pounds.
More can be learned about the function concept at https://brainly.com/question/12463448
For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
Choose the correct null and alternative hypotheses below.
A. H0: μ = 22.1 months
Ha: μ > 22.1 months
B. H0: μ = 22.1 months
Ha: μ 22.1 months
C. H0: μ = 22.1 months
Ha: μ < 22.1 months
D. H0: μ > 22.1 months
Ha: μ = 22.1 months
E. H0: μ 22.1 months
Ha: μ = 22.1 months
F. H0: μ = 22.1 months
Ha: μ > 22.1 months
Which of the following is the correct classification of the hypothesis test?
A. Two-tailed
B. Left-tailed
C. Right-tailed
Answers
Answer:
Option B:
[tex]H_0: \mu = 22.1[/tex]
[tex]H_a: \mu \neq 22.1[/tex]
Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:
[tex]H_0: \mu = 22.1[/tex]
A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:
[tex]H_a: \mu \neq 22.1[/tex]
Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highest
votes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen?
Answers
Answer:
I believe this could happen 27 different ways.
Step-by-step explanation:
3) You flip a coin six times and then roll a six-sided die. Find the number of possible outcomes
Answers
Answer:
First coin Second coin outcome
H T HT
T H TH
T T TT
Step-by-step explanation:
First coin Second coin outcome
H T HT
T H TH
T T TT
Find the area of the shaded region:
Answers
Answer:
34560
Step-by-step explanation:
You have to multiply to get your answer
Hope I'm right...
Hope this helps plz like and brainly :D
Please help me this is for a test. Thank you so much whoever answers this.
Answers
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
30 POINTS, NO LINKS, AND ANSWER RIGHT.
-15 = 8z + 7. what is the value of z
Answers
-4(6-b)=4 show work plz
Answers
Answer:
b= 7
Step-by-step explanation:
what is the distance of between (-5,8) and (12,8)
plz help
Answers
Answer:
17
Step-by-step explanation:
-5 is 17 points away from 12.
According to these measures, is it possible that the heaviest piece of fruit in the two samples was an orange? Explain why or why not.
Answers
Answer:
Yes,
Step-by-step explanation:
The measures given which are median and interquartile range have no effect on what the maximum value of a certain distribution will be.
In essence, the information given about the samples of fruits and apples do not point to which fruit sample should possess the sample with maximum weight as the information only gives a general description of each distribution. This means that either samples of orange or apple could have the heaviest piece of fruit.
Sally has 2 pets in her house. The weight of her dog is 50 pounds and the weight of her cat is 12 pounds. By how much is the weight of the dog more than the weight of the cat?
A. 38 lb.
B. 30 lb.
C. 28 lb.
D. 20 lb.
Answers
Answer:
the answer is A. 38lb.
i hope this helps :)
Step-by-step explanation:
50-12= 38 pounds
The new number 200 is 400 less than the original number what is the approximate per percent change
Answers
Answer:
200+400=600
400/600=2/3=66.6%
Which expression has a value greater than 43 ?
PLEASEEE HELP!
Answers
Answer:
7^2
Step-by-step explanation:
7*7=49
4^3=43
49>43