Answer:
[tex]D_u f(0,\pi/6)=\frac{4\sqrt{3}-3}{5}[/tex]
Step-by-step explanation:
We are given that
[tex]f(x,y)=2cos(y)e^{x}[/tex]
Point=([tex]0,\pi/6[/tex])
Vector v=<-8,6>
We have to find the directional derivative of the function.
[tex]f_x(x,y)=2cos(y)e^{x}[/tex]
[tex]f_x(0,\pi/6)=\sqrt{3}[/tex]
[tex]f_y(x,y)=-2sin(y)e^{x}[/tex]
[tex]f_y(0,\pi/6)=-1[/tex]
[tex]|v|=\sqrt{(-8)^2+6^2}=\sqrt{100}=10[/tex]
[tex]\hat{u}=\frac{v}{|v|}=\frac{-8i+6j}{10}=\frac{1}{10}(-8i+6j)[/tex]
[tex]\nabla f(0,\pi/6)=<f_x(0,\pi/6),f_y(0,\pi/6)>=<\sqrt{3},-1>[/tex]
Now, the directional derivative in the direction of v at point (0,[tex]\pi/6[/tex]) is given by
[tex]D_u f(0,\pi/6)=\nabla f(0,\pi/6)\cdot \hat{u}[/tex]
By using the formula
[tex]D_u f(x,y)=\nabla f(x,y)\cdot \hat{u}[/tex]
[tex]D_u f(0,\pi/6)=<\sqrt{3},-1>\cdot <-\frac{8}{10},\frac{6}{10}>[/tex]
[tex]D_u f(0,\pi/6)=-\frac{4\sqrt{3}}{5}-\frac{3}{5}=-\frac{1}{5}(4\sqrt{3}+3)[/tex]
What is the solution to the following system?
3x + 3y + 3z = -12
5x + 2y + 2z = -17
2x-4y - z = -20
what is 1000 x 6000
Answer:
6,000,000
Step-by-step explanation:
Who won more games 7/10 or 2/5
Answer:
7/10
Step-by-step explanation:
Sarah began the school week with $2.60 in her lunch account. She deposited $20 on Monday, and then spent $4.75 each day that week for lunch. what equation was the balance in her lunch account on the end of the day on Friday?
Answer:
17.85
Step-by-step explanation:
2.60+20= 22.60
22.60-4.75= 17.85
Equations are used to find the unknown quantity.
The equation which represents the total balance in Sarah lunch account on the end of the day on Friday i[tex]x=22.6-19\\x=3.6[/tex]
Thus the total balance in her lunch account on the end of the day on Friday is 3.6.What is equality equation?
The equation which represents the equality between the two expressions. Equations are used to find the unknown numbers.
Given information-
Sarah began the school week with $2.60 in her lunch account.
The amount deposited by the Sarah is $20 on Monday,
The amount spent by the Sarah each day from Thursday to Friday is $4.75.
Suppose the total balance in her lunch account on the end of the day on Friday is [tex]x[/tex].
As the amount in her account was $2.60, when she began the school. The $20 was then deposited. Thus,
[tex]x=2.60+20[/tex]
Now she spent $4.75 each day for the next four days. Thus,
[tex]x=2.60+20-4(4.75)[/tex]
Hence this is the equation which represents the total balance in her lunch account on the end of the day on Friday.
Solve the equation,
[tex]x=22.6-19\\x=3.6[/tex]
Thus the total balance in her lunch account on the end of the day on Friday is 3.6.
Hence,
The equation which represents the total balance in her lunch account on the end of the day on Friday i[tex]x=22.6-19\\x=3.6[/tex]
Thus the total balance in her lunch account on the end of the day on Friday is 3.6.Learn more about the equality equation here;
https://brainly.com/question/860971
What is the measure of F
Answer:
degrees
Step-by-step explanation:
right for ap-ex
Edna purchased a table for
$403.20. This amount already included the sales tax. If the price of the table before sales tax was $360.00, what percent was the sales tax?
Answer:
1.12
Step-by-step explanation:
I divided 403.20 and 360.00.
Hope this helps
Road
James has9 cups of blueberries. He uses 5 cups to make a pie. He uses another 2 cups to make muffins.
How many cups of blueberries does James have left?
Enter your answer as a mixed number in simplest form by filling in the boxes.
8
1
cups
8
1
2
3
4
6
Answer:
he has 2 cups left
Step-by-step explanation:
(9) 5+2=7(9-7=2)
If I simplify 3/7 to 1/7 and multiply to 2/9 what did I do wrong
Answer:
Read the explanation
Step-by-step explanation:
You cannot simplify 3/7 to 1/7. 3/7 is 3/7 and cannot be changed unless added, subtracted, divided, or multiplied. 1/7 x 2/9 is 2/63
3/7 x 2/9 is 6/63
What is the distance between the top of the fishing pole 8 1/2 feet and the fish 4 1/2 feet
Answer:
4 feet
Step-by-step explanation:
Why? because we can simply just type it and look at it in a more simple way
[tex]8\frac{1}{2}[/tex] - [tex]4\frac{1}{2}[/tex]= 4
Because 4 is the difference.
4 is the difference between [tex]8\frac{1}{2}[/tex] and [tex]4\frac{1}{2}[/tex].
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
A fraction is a way to describe a part of a whole. The distance between the top of the fishing pole and the fish is 13 feet.
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
Given that the distance between the surface of the water and the top of the fishing pole is 8 1/2 feet, while the distance between the surface of the water and the fish is 4 1/2 feet.
Therefore, the distance between the top of the fishing pole and the fish is the sum of the distance between the surface of the water and the top of the fishing pole and the distance between the surface of the water and the fish.
Now, the distance between the top and the fish is,
Distance = (8 1/2) feet + (4 1/2) feet
Converting Mixed fractions to fractions,
= (8×2 + 1)/2 + (4×2 + 1)/2
= 17/2 + 9/2
= (17+9)/2
= 26/2
= 13 feets
Hence, the distance between the top of the fishing pole and the fish is 13 feet.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ2
7n - 5 = 6n + 8
answers plss
Answer:
n=13
Step-by-step explanation:
7n-5=6n+8
-6n -6n
n-5=8
+5 +5
n=13
Determine both intercepts be sure of your answer
Please help me answer this question please
Answer:
BCA
Step-by-step explanation:
Answer:
it is the 2x angle
Step-by-step explanation:
Use an addition or subtraction formula to find the exact value of sin(19π/12)=−\sqrt{A}(\sqrt{B}+1)/4.
A,B=?
Answer:
[tex]B = {(\frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}})}^{2} + 1[/tex]
Step-by-step explanation:
[tex]sin(19π/12)=−\sqrt{A}(\sqrt{B}+1)/4A \to \\ \\ sin( \frac{19π}{12})=− \frac{\sqrt{A}(\sqrt{B}+1)}{4A}
\\ \\ \sqrt{A}(\sqrt{B}+1) = 4A \times sin( \frac{19π}{12}) \\ \\ (\sqrt{B}+1) = \frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}} \\ \\ B = {(\frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}})}^{2} + 1[/tex]
♨Rage♨
If a video is getting 450 views every 9 days, how long will it take to reach 1,000 views?
Answer:
90%
Step-by-step explanation:
solve the square root of 245 please
it can't be in no decimal.
Answer: About 16
Step-by-step explanation: Since the answer is a decimal 15.652... I rounded up to the nearest whole number which is 16.
You run 3 1/4 miles as part of your routine. You run 2/5 on a hill. You run down the slope for the last 1/2 mile of the hill. How many miles do you run down the slope?
Answer:
1 5/8
Step-by-step explanation:
Sorry read it wrong
The problem states that the last HALF of the run was down the slope, therefore the answer would be 1/2 of the total run, 3 1/4.
The pre-image △ABC is translated 5 units to the right and two units up to get the image △DEF.
Which statement is TRUE?
AB¯¯¯¯¯≅DE¯¯¯¯¯
AB¯¯¯¯¯∥DE¯¯¯¯¯
∠BAC≅∠EDF
All of the statements are true.
Answer:
∠BAC≅∠EDF
Step-by-step explanation:
... The square below represents one whole. What percent is represented by the shaded area?
Answer:
The percentage is 85%.
Step-by-step explanation:
You can count the shaded squares individually, but I count the rows that are shaded, and then subtract by the squares that aren't shaded in.
Department A had a beginning inventory balance of 25 units which were 40% complete. During the accounting period, the department started an additional 275 units and had an ending balance of 50 units which were 20% complete. Using FIFO, the equivalent units of production is units.
Answer:
250
Step-by-step explanation:
The table shows the cost of taking a rideshare trip. Which description correctly reflects the way the charges are calculated?
where is the table and the descriptions
12/11 - (-2/3)= what is the answer
Answer:
58/33 or 1.75
Step-by-step explanation:
A 30oz bottle of a particular juice contains 18oz of water. What percent of this drink is water?
Answer:
my name is jeff
Step-by-step explanation:
What is 80•2? I need help!!
Answer: 160
Step-by-step explanation:
80 x 2 = 160
HELP ME PLEASE!! This is due today!! Use kcf and show ur work plzz!
A line has a slope of -2 and goes through the point (-1, -6). What is the equation of the line, written in point-slope form?
Answer:
The answer is
[tex] \huge y + 6 = - 2(x + 1) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 6 = - 2(x + 1)[/tex]
Hope this helps you
What number is five steps to the right of -100?
Answer:
The answer is negative -95
A triangle has the vertices of A(2,3), B(-2,2) and C(-3,5). What are the
coordinates of the vertices of the image after the translation (x,y) — (x + 4, y -
3)?
help me
Answer:
A the answer is super hard
Need help with question 16 and I need work please and thanks be correct
A rectangle has a perimeter of 42 after tripling its length, the new perimeter is 94. Find the original length and width
Answer:
Step-by-step explanation:
List all of the solutions.
42=
94=
The equation of line Q is y = -8/9x + 1/6 line r is parallel to line q what is the slope of line r
Hello.
Parallel lines have the same slope.
If the given line has a slope of [tex]\displaystyle-\frac{8}{9}[/tex], then the line parallel to it has the same slope.
Thus, line r has a slope of [tex]\displaystyle-\frac{8}{9}[/tex].
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
