Answer:
[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]
Step-by-step explanation:
Let [tex]h(x) = f(x)^{x}[/tex], the first derivative of the function is found by applying the concept of implicit differentiation:
[tex]h(x) = f(x)^{x}[/tex] (1)
[tex]\ln h(x) = x\cdot \ln f(x)[/tex]
[tex]\frac{h'(x)}{h(x)}=\ln f(x) +\frac{x\cdot f'(x)}{f(x)}[/tex]
[tex]h'(x) = h(x) \cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]
[tex]h'(x) = f(x)^{x}\cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right][/tex]
[tex]h'(x) = f(x)^{x-1}\cdot [f(x)\cdot \ln f(x)+x\cdot f'(x)][/tex] (2)
If we know that [tex]x = e[/tex], [tex]f(e) = 7[/tex] and [tex]f'(e) = 6[/tex], then [tex]h'(e)[/tex] is:
[tex]h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e][/tex]
What is the slope of the linear table below?
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (0, 10) ← 2 ordered pairs from the table
m = [tex]\frac{10-8}{0+3}[/tex] = [tex]\frac{2}{3}[/tex] → A
The daily low temperatures from last week are shown below. (The measurement is fahrenheit)
-9, -8, -7, 8, 10, 12, 18
What is the mean low temperature of last week?
A.-2
B.6
C.8
D.10
Answer:
thx for the free points g
How do you do this question?
Answer:
y = Ce⁻ᵗ − 7
Step-by-step explanation:
dy/dt = -y − 7
dy/dt = -1 (y + 7)
Separate the variables.
dy / (y + 7) = -1 dt
Integrate both sides.
ln│y + 7│= -t + C
Solve for y.
y + 7 = e⁻ᵗ⁺ᶜ
y + 7 = eᶜ e⁻ᵗ
eᶜ is another arbitrary constant, so:
y + 7 = Ce⁻ᵗ
y = Ce⁻ᵗ − 7
Write the fraction that would land on point A on the number line.
Subtract 5x – 2 from –3x +4. O 2x + 2 o 80 – 6 –80 + 2 -80 + 6 +
Answer:
8x - 6
Step-by-step explanation:
5x - 2 - (-3x + 4)
1) Distribute
5x - 2 + 3x -4
2) Combine like terms
8x - 6
Answer:
D: -8x+6
Step-by-step explanation:
(-3x+4)-(5x-2) This is the set up
(-3x-5x)+(4--2) Combine like terms
-8x+6 Simplify
the product of the sum and the difference of 8x and 4y
Answer:
4
Step-by-step explanation:
o dont really know. I dont understand the question
HELPPP ME PLEASSSEE :(
I am pretty sure the answer is d.
Answer:definitely a trinomial expression.
Step-by-step explanation:
Since it has 3, it’s a trinomial.
One number is 5 greater than another. The product of the numbers is 36.
Find the numbers.
Answer:4 and 9 are the numbers
Step-by-step explanation:
Answer:
4 and 9
Step-by-step explanation:
Factors of 36 are:
(1x36), (2x18), (3x12), (4x9), (6x6)
The ones with a difference of 5 are 4 and 9, and so therefore they are your answers.
What is the GCF of 8 and 20
O 8
O2
O 4
O 10
You could produce a pair of like terms with opposite coefficients by multiplying the first equation by what number?
Answer:
6
Step-by-step explanation:
just did on edge
Answer:
C. 6
Add
-2,-4
YOUR WELCOME ;)
Step-by-step explanation:
EDGE2021
Which set of ordered pairs below is a function?
A {(3,–2); (5,–3); (7,–4); (9,–5)}
B {(3,–2); (3,–12); (9,–2); (12,–2)}
C {(4,–2); (5,–3); (7,–4); (7,–5)}
D{(4,–2); (4,–3); (4,–8); (4,–9)}
David bought 3 1/3 fabric . How much is this in feet?
Answer:10 feet, I think
Step-by-step explanation:
Item
Price
Markup %
Markup
Retail Price
Shoes
$75.38
39%
$
Hey, I need this answer in by today. Please help me solve this and give a word by word explanation. Thanks!
Answer:
185
Step-by-step explanation:
firstly you calculate all in brackets
(280+20)÷3
300÷3
100-15
85
now you calculate 10×5=50
2×50=100
85+100=185
so firstly deal with problem inside the brackets, then you got multiplication and division outside their brackets and finally get 85 +100 =185
D. Find the coordinates of the vertex
Vertex: ( , )
Please anyone helps me
Answer:
(-2,4)
Step-by-step explanation:
Megan makes and sell slime online.
Answer:
44 containers
How far is the robot claw from the winter lane
Answer:
4 blocks.
Step-by-step explanation:
The formula used to compute a confidence interval for the mean of a normal population when n is small is the following. x^^\_ +/-\(t text( critical value)\)s/sqrt(n) What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.) (a) 95% confidence, n = 17(b) 90% confidence, n = 12 (c) 99% confidence, n = 24 (d) 90% confidence, n = 24 (e) 80% confidence, n = 13 (f) 95% confidence, n = 10
Answer:
a) 2.120
b) 1.796
c) 2.807
d) 1.714
e) 1.356
f) 2.262
Step-by-step explanation:
The formula used to compute a confidence interval for the mean of a normal population when n is small is the following. x^^\_ +/-\(t text( critical value)\)s/sqrt(n) What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.)
(a) 95% confidence, n = 17
We find our degrees of freedom first
= n - 1
= 17 - 1
= 16
The t critical value using the t table =
2.120
(b) 90% confidence, n = 12
We find our degrees of freedom first
= n - 1
= 12 - 1
= 11
The t critical value using the t table =
1.796
(c) 99% confidence, n = 24
We find our degrees of freedom first
= n - 1
= 24 - 1
= 23
The t critical value using the t table = 2.807
(d) 90% confidence, n = 24
We find our degrees of freedom first
= n - 1
= 24 - 1
= 23
The t critical value using the t table =
1.714
(e) 80% confidence, n = 13
We find our degrees of freedom first
= n - 1
= 13- 1
= 12
The t critical value using the t table = 1.356
(f) 95% confidence, n = 10
We find our degrees of freedom first
= n - 1
= 10 - 1
= 9
The t critical value using the t table =
2.262
Miss Holman bought a meal that cost $6.25. She gave her server $1.25 tip. What percent did she tip her server?
Answer:
20%
Step-by-step explanation:
6.25 times 20% or 0.2 = 1.25. therefore she tipped the sever 20% of the total cost of her meal.
Which of the following statements is NOT equivalent to the statement, 'There exists either a
computer scientist or a mathematician who knows both discrete math and Java.
The correct answer is computer scientists because they know both discrete math and java.
Given that,
"There exists either a computer scientist or a mathematician who knows both discrete math and Java." is to be discussed.
Java is a computer programming language, which helps to build software and program on computers.
here,
Mathematicians do have knowledge of discrete math but they do not have known what actually java is, while being a computer scientist one should have knowledge of both discrete math and Java.
Thus, the correct answer is computer scientists because they know both discrete math and java.
Learn more about java here:
https://brainly.com/question/13261090
#SPJ2
15 POINTS IF U ANSWER
Answer:
we need explaining of this question
Graph the set on the number line.
WILL GIVE BRAINLIEST! 2 QUESTIONS FOR 6 POINTS +3 TO WHOEVER ANSWERS QUICKEST! AND THE HAVE A GOOD EXPLAINATION!
1: (THE PICTURE)
POSSIBLE ANSWERS:
Line A
Line B
Line C
Line D
2: The F-16 Fighting Falcon, a United States fighter jet, can travel 3680 miles in 4 hours. In miles per hour, what is the speed of the F-16?
POSSIBLE ANSWERS:
1. 900mph
1. 736mph
3. 460mph
4. 0.001086mph
5. None of the Above
Please help someone
Answer:
root of 64, root of 71,pie squared
Step-by-step explanation:
A giant right triangular sculpture has two legs with lengths 20 meters and 40 meters. What is the measure of the smallest angle in this sculpture? Round your answer to the nearest degree.
15°
27°
30°
43°
Answer:
we have the same question
Step-by-step explanation:
please tell me what you got when you receive an answer
Answer:
30 degrees
Step-by-step explanation:
we need to compute angle A and angle B (see figure below)
hence,
[tex]cosA=\frac{20}{40}\\ cosA=\frac{1}{2}[/tex]
this implies that A=60 degrees.
Since interior angles of a triangle add up 180 then,
A+B+90=180
60+B+90=180
B+150=180
B=180-150
B=30 degrees
which is the smallest angle
plz help me thanks so much :)
twice the square of a number
Answer:
2 * x^2
Step-by-step explanation:
in word form: two times the square of x
"a number" can be any variable; i used x
Answer:
x² × 2
Step-by-step explanation:
Notice vocabulary:
twice → multiplication by a factor of two → ×2a number → unknown number; variable → xthe square → raised to the power of two → x²Put this information together.
"Twice the square of a number"
Since it says of a number, this number comes first → [tex]x[/tex]
"Twice the square of a number"
The square of a number means that the variable will be squared → [tex]x^2[/tex]
"Twice the square of a number"
Multiply the variable by a factor of two → [tex]x^2*2[/tex]
:Done
how to math pls i ned to math
Answer:
8 inches
Solution:
First, you need to add all sides which will give you 147. Then, to find the length of GA, you need to subtract the perimeter which is 167, by 147 which will give you 20. GA = 20
Thus to find G'A', you need to cross multiply 14/35 = G'A'/20
You should end up with 280 = 35. Divide 35 by 280 and you get 8.
PLEASE MARK IT AS BRAINLIEST
Answer:
2+2=4-1+3
Step-by-step explanation:
quick mafs
when ------, you change a number to one that is less exact, so it is easier to work with.
please help me in have 10 minutes left
Calculate each unit rate. Round to the nearest hundredth if necessary. 175 Calories in 12 ounces
Answer:
L
Step-by-step explanation: