The statement that is true is (B) f has a local minimum at x = 0 and a local maximum at x = 6.949.
To determine the nature of the critical points, we need to analyze the second derivative of the function f. Given f''(x) = sin(z) - 2cos(z), we can evaluate the second derivative at the critical points c = 0 and c = 6.949.
At c = 0, the value of the second derivative is f''(0) = sin(0) - 2cos(0) = 0 - 2 = -2. Since the second derivative is negative at c = 0, it indicates a local maximum.
At c = 6.949, the value of the second derivative is f''(6.949) = sin(6.949) - 2cos(6.949) ≈ 0.9998 - (-0.9982) ≈ 1.998. Since the second derivative is positive at c = 6.949, it indicates a local minimum.
Therefore, based on the analysis of the second derivative, the correct statement is that f has a local minimum at x = 0 and a local maximum at x = 6.949 (option B).
Learn more about critical points here:
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the total for dinner was $55 before a discount and tax there was a 10% discount and 7% sales tax
use the tiles to create and expression that could be used to find the total
55xblank x blank
use :0.10 0.9 1.07 0.07 to make the equation
Answer:
( 55 x .10 ) x .07
How do I round 31732.441804 to the nearest dollar?
Answer and Step-by-step explanation:
To round to the nearest dollar, you are essentially rounding to the nearest whole number.
This involves looking at the tenths place.
31732.441804
The bolded 4 is in the tenths place (after the decimal), and determines if the number to the left of it rounds up or stay the same.
Since 4 is not greater than or equal to 5, it makes the number stay 2.
So, we get the answer to be $31732.
#teamtrees #WAP (Water And Plant)
Sheila is flying a kite with a string that makes a 59-degree angle with
the sand. If the height of the kite above the ground is 97 feet, how
long is the string? (Please use the exact ratio to calculate the missing
side and round your answer to the nearest hundredth.)
Answer:
113.16 feet
Step-by-step explanation:
Representing the given details appropriately with a right angle triangle. Let the length of the string for the kite be represented by x. Applying required trigonometric function, we have:
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]59^{o}[/tex] = [tex]\frac{97}{x}[/tex]
x = [tex]\frac{97}{Sin59^{o} }[/tex]
= [tex]\frac{97}{0.8572}[/tex]
= 113.1591
x = 113.16 feet
Thus, the string for the kite is 113.16 feet long.
What is the solution of the system of equations?
y=x+2
y = 3x
F. (3,-1) G.(-3, 1) H. (1,3)I. (1, -3)
Answer:
the right answer is H.(1,3)
Mrs. Thomas used similar rectangles to make a design. Which statement about the rectangles in the design must be true?
Answer:
what are the statements
Step-by-step explanation:
The scale on a map is 2 ½ inches = 40 miles. On the map, two cities are 3 1/8 inches apart. What is the distance between the two cities?
Answer:
60 na po Sana makatutulong
Find the area of the semicircle.
Answer:
39.25 centimeters squared is the area of the semicircle
Mariah's teacher tells her that this expression can be written as log k, where k is an integer.
3 log 3x – log 9x^4 + log x
What is the value of K?
The value of k is?
Answer: 3
Step-by-step explanation:
Pls help me, I have to find the area.
Answer:
a) 136
Step-by-step explanation:
(20x2x2)+(14x4)=136
. Chris read 25 books in 135 days. At this rate, in how many days will he read another 5 books? Another 10 books?
Answer:
5 books - 27 days
10 - 54 days
15 books - 81 days
Step-by-step explanation:
First, you need to find how many days it takes to read one book, to do this, simply divide 135 by 25 (135/5=5.4). Then, you multiply that number by the amount of books it wants to know how long it would take him to read (5 and 15 since it asks "another 10". It could also be 54 if it was asking how many for 10 books not including the 5 he would have read). 5*5.4=27, 10*5.4=54, and 15*5.4=81.
how to solve for mamath
Answer:
2
Step-by-step explanation:
Answer:
X= 20
Step-by-step explanation:
To find x you need to know what are the dimensions
48 divided by 12 = 4
5 x 4 = 20
x = 20
hope this helps
In triangle ABC, m∠A = 68° and m∠B = 9°. What is the measure of ∠C?
Answer:
103 degrees
Step-by-step explanation:
The sum of the measures of all triangles is 180 degrees. The two angles given total 77 degrees. Subtracting 77 from 180 leaves 103 degrees for the 3rd angle
A meteorologist found that the rainfall in Campbell during the first half of the month was 3/10 of an inch. At the end of the month, he found that the total rainfall for the month was 1/2 of an inch. How much did it rain in the second half of the month?
Answer: 1/5
Step-by-step explanation:
Let the amount of rainfall in the second half of the month be represented by x.
From the information given in the question, the equation formed will be:
3/10 + x = 1/2
x = 1/2 - 3/10
x = 5/10 - 3/10
x = 2/10
x = 1/5
Therefore, the answer is 1/5
What is the slope of this graph ?
Answer:
linear slope paragraph
Answer:
the slope is 58
Step-by-step explanation:
hope this helps :)
Are 12/7 and 36/21 proportional
Answer:
Step-by-step explanation:
Cross multiply:
12 * 21 = 7 * 36
Simplifying
12 * 21 = 7 * 36
Multiply 12 * 21
252 = 7 * 36
Multiply 7 * 36
252 = 252
Add '-252' to each side of the equation.
252 + -252 = 252 + -252
Combine like terms: 252 + -252 = 0
0 = 252 + -252
Combine like terms: 252 + -252 = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
(hope this helps can i plz have brainlist :D hehe)
From the calculations below, 12/7 and 36/21 are proportional, therefore, the statement is true.
The first fraction given is 12/7.
The second fraction given is 36/21.
In order to check, we can multiply both the numerator and the denominator by 3. This will be;
= (12 × 3) / (7 × 3)
= 36 / 21
Therefore, it has been solved that 12/7 and 36/21 are proportional.
Read related link on:
https://brainly.com/question/18759132
Can the terms susc as "less than" and "more than" be used in a real situation? Can you give an example or examples?
Answer:
Yes
Step-by-step explanation:
She had more than me
I would help her but she has less than me
the answer please?????????
Answer:
Answer A- "The system of equations has one solution." :)
Step-by-step explanation:
Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. ... If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Hope this helps! <3
please help me out lolll
Step-by-step explanation:
[tex] \sin(30) = \frac{35}{x} \\ x \sin(30) = 35 \\ x = \frac{35}{ \sin(30) } \\ x = 70[/tex]
3x = 42 *
pls help quick
Answer:
The answer will be x=14
Step-by-step explanation:
hope I help
NEED HELP MATH HOMEWORK ASAP plz help
15x - 6xy
Helppppppppppo
Answer:
3x(5-2y)
Step-by-step explanation:
Answer:
3x(5-2y)
Step-by-step explanation:
15x-6xy=3x(5-2y)
Hello can someone please help me
Help me please answer thanks
I NEED HELP AND YOU GUYS ARE SMART ANDBI NEED THE HELP NOW PLEASE
What does a 100% increase mean?
Example: I am a store owner I purchased t-shirts each for $5, I sell them each for $10.
Answer:
it means your adding it again lets use your example.
Step-by-step explanation:
Your increasing by 100% because 100% of 5 is 5 so your just addding 5+5 which is 10.
If you want another example tell me
Hope this helps : D
Answer: It means that the quantity has doubled he re is an example if you do not quite get it: An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial.
Step-by-step explanation:
CORRECT ANSWER GETS BRANLIEST, IF I SUBMIT MY TEST AND ITS INCORRECT U WILL BE REPORTED <3
Which equation has solutions at (3, 4)?
A. y=5x+2
B. y=2x-1
C. y=5x-2
D. y=2x+1
Answer:
none of them do
Step-by-step explanation:
i checked with a graphing calculator
Back Next
Check
Question 1
Indicate the answer choice that best completes the statement or answers the que
Solve s 3. Graph the solution on a number line.
Ву
+ +
0 1 2 3 4 5 6 7 8 9
-1
Oa
十一
0 1 2 3 4 5 6 7 8 9
Ob.
+
0 1 2 3 4 5 6 7 8 9
Ос.
0 1 2 3 4 5 6 7 8 9
Od
Answer:
C
Step-by-step explanation:
✔️First, solve for r:
r/2 ≤ 3
Multiply both sides by 2
r/2 × 2 ≤ 3 × 2
r ≤ 6
This implies that possible value of r is equal to 6 or less than 6.
Graphing this on a number line, the line with a shaded circle, indicating that 6 is included, starts at 6 and points to the left.
This indicates that value of r ranges from 6 and below.
The graph is C.
The regular price of a camera is 180.00 the camera is on sale for 25% off the regular price. What is the sales price of the camera in dollars and cents
Answer:
$135
Step-by-step explanation:
180 decrease 25% =
180 × (1 - 25%) = 180 × (1 - 0.25) = 135
x^2+17x+4=0 find the discriminant.
Deion left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Deion is xx minutes after he left his house, until he got back home.
\text{How many blocks is it from Deion's house to the bank?}
How many blocks is it from Deion’s house to the bank?
Answer:
I dont know if this is still helpful but the answer is 14 blocks
Step-by-step explanation:
Solve the equation f/ 1.4 = 6
Step-by-step explanation:
[tex] \frac{f}{1.4} = 6 \\ [/tex]
[tex]f = 6 \times 1.4[/tex]
[tex]f = 8.4[/tex]
Answer:
The answer to your question is 8.4