Answer:
Step-by-step explanation:
[tex]f(x,y)=arctan(xy)\\\\\dfrac{ \partial f}{ \partial x}=\dfrac{y}{1+x^2y^2} \\\\\dfrac{ \partial f}{ \partial y}=\dfrac{x}{1+x^2y^2} \\\\\dfrac{ \partial ^2 f}{ \partial x^2}=\dfrac{-2xy^3}{(1+x^2y^2)^2} \\\\\dfrac{ \partial ^2 f}{ \partial y^2}=\dfrac{-2x^3y}{(1+x^2y^2)^2} \\\\\dfrac{ \partial ^2 f}{ \partial x\ \partial y}=\dfrac{1-x^2y^2}{(1+x^2y^2)^2} \\[/tex]
[tex]f(x,y)= f(1,1)+(x-1)\dfrac{\partial f}{\partial x} (1,1)+(y-1)\dfrac{\partial f}{\partial y} (1,1)+\dfrac{(x-1)^2}{2} \dfrac{\partial^2 f}{\partial x^2} (1,1)+(x-1)(y-1)\dfrac{\partial^2 f}{\partial x\ \partial y} (1,1)+\dfrac{(y-1)^2}{2} \dfrac{\partial^2 f}{\partial y^2} (1,1)+...\\\\=\dfrac{\pi}{4}+\dfrac{(x-1)}{2} +\dfrac{(y-1)}{2} -\dfrac{(x-1)^2}{4} +(x-1)(y-1)*\dfrac{0}{4}-\dfrac{(y-1)^2}{4} \\\\[/tex]
[tex]\boxed{f(x,y)=\dfrac{\pi}{4}+\dfrac{(x-1)}{2} +\dfrac{(y-1)}{2} -\dfrac{(x-1)^2}{4} -\dfrac{(y-1)^2}{4} }\\\\[/tex]
HELP HELP HELP HELP HELP
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2/5
Step-by-step explanation:
you multiply the denominators and numerators so
4 * 1 and 5 *2 leaving you with
4/10
since it says simplify you would just divide by 2 leaving
2/5
.
Please help
Add or subtract.
Answer:
Lt is very easy answer u can't
Answer:
[tex]\frac{1}{x-6}[/tex]
Step-by-step explanation:
[tex]\frac{x}{x^2-2x-24}-\frac{-4}{x^2-2x-24}\\\\\frac{x-(-4)}{x^2-2x-24}\\\\\frac{x+4}{(x+4)(x-6)}\\\\\frac{1}{x-6}[/tex]
How do they get Question 3
Answer:
400÷10=40
Step-by-step explanation:
the question asks for you to divide each number in the pattern by 10.
the first number is 400
400÷10=40
then you would do 40÷10=4
then 4÷10=0.4
then 0.4÷10=0.04
so the pattern would be
400 , 40 , 4 , 0.4 , 0.04
hope this helped!
43 + (-56) -78=
What is the steps to solve ?
PEMDAS- Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Answer= -91
Three million, six hundred twenty nine in numbers
Answer:
3,000,629
Step-by-step explanation:
Start with three million as shown below.
Three million, six hundred twenty nine in numbers
3,000,000
"six hundred twenty nine" is simply
629
The number you want is 629 more than 3 million.
Now add the 639 to the 3 million.
Three million, six hundred twenty nine
3,000,629
What is the equation of a line perpendicular to y = 6x - 5 that passes through the point (6,-3)?
Step-by-step explanation:
The product of slope of 2 straight lines perpandicular each other is -1.
Now, The slope of the original equation is 6. We wish to find the slope m of the perpendicular line. So
[tex]6m = - 1[/tex]
[tex]m = - \frac{1}{6} [/tex]
Now substituting the slope m and the point (6, -3) into the perpandicular line to solve for the y intercept.
[tex]y = mx + c[/tex]
[tex] - 3 = 6( - \frac{1}{6} ) + c[/tex]
[tex]c = - 2[/tex]
Therefore, the equation of the perpandicular line is
[tex]y = - \frac{1}{6} x - 2[/tex]
Can someone help me with this question? please
Answer:
6 cm3
Step-by-step explanation:
3 x 2 x 1 = 6
mr tan is 42 years old and mrs tan is 44 years old now. they have 3 children who are 7 years, 5 years and 2 years old now. in how many year time will the sum of mr and mrs tan's age be 4 times of the sum of their 3 children's age
Answer:
3 years
Step-by-step explanation:
let the number of years required be x
hence
42+x+44+x = 4(7+x+5+x+2+x)
86+2x = 4(14+3x)
86+2x = 56+12x
2x-12x = 56-86
-10x = -30
x = 3
How much of a(n) 80% orange juice drink must be mixed with 12 gallons of a 40% orange juice drink to obtain a mixture that is 50% orange juice?
The amount of 80%orange juice drink is
Step-by-step explanation:
how much of an 80% orange juice drink must be mized with 20 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice
Answer by mananth(16075) (Show Source): You can put this solution on YOUR website!
--------percent ---------------- quantity
Orange juice 20 ---------------- 20 gal
Orange juice 80 ---------------- x gal
Mixture 50 ---------------- 20 + x gal
20 * 20 + 80 x = 50 ( 20 + x )
400 + 80 x = 1000 + 50 x
80 x + -50 x = 1000 - -400
30 x = 600
/ 30
x = 20
20 gal of 80 % Orange juice
The balloon uses 4.5 quarts of gas in 7 minutes. How many gallons will it use per hour?
Answer:
≈9.64 gallons
Step-by-step explanation:
To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.
4.5 quarts = 7 minutes
First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1
4.5/7 quarts = 1 minute
Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60
4.5 * 60 / 7 quarts = 60 minutes = 1 hour
We now know how many quarts are in an hour, so we can now convert quarts to gallons
4 quarts = 1 gallon
divide both sides by 4
1 quart = 1/4 gallons
To get from quarts to gallons, we can divide by 4, so we have
(4.5 * 60 / 7)/4 = 4.5 * 60 / 28
≈9.64 gallons
help me plz branniest to whoever right
Find the differential of the function w=xsin(2yz^4).
The differential of
[tex]w = x \sin(2yz^4)[/tex]
is
[tex]\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz[/tex]
where the partial derivatives are
[tex]\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)[/tex]
So the differential dw is
[tex]\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz[/tex]
What is the answer to -(2-k)
Answer:
Step-by-step explanation:
k-2
Answer:
k-2
Step-by-step explanation:
-(2-k) - Expand the brackets
-2+k - Reorder the equation
k-2
How to Drag and drop 5/8 and m
Answer:
What do you mean?
Step-by-step explanation:
I don’t understand.
A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes. How many typewriters are required for a complete display
Answer:
36 different combinations
Step-by-step explanation:
3 colors * 6 types * 2 sizes
3*6*2 = 36 different combinations
36 typewriters are required for a complete display
Given :
A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes
Colors =3
Styles =6
sizes =2
To find number of typewriters required we multiply the colors , styles and sizes available
Number of typewriters required=[tex]3 \cdot 6 \cdot 2= 36[/tex]
36 typewriters are required for a complete display
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Mitchell can grow 2 flowers with every seed packet. How many seed packets does Mitchell need to have a total of 4 flowers in his garden?
Answer:
2 seed packets
Step-by-step explanation:
Since Mitchell can grow 2 flowers per seed packet, you can divide the number of flowers he wants with the number of flowers each seed packet can grow. Since he wants 4 flowers, 4 divided by 2 is equal to 2, meaning he needs 2 seed packets to grow 4 flowers.
Match the terms to their definition.
1. union
2. intersection
3. compound inequality
Hurry plz
Step-by-step explanation:
compound inequality: a statement formed by two.......
intersection: elements that are in both set A and B
union: elements that are in either set A or B
Give the degree of the polynomial.
Answer:
7
Step-by-step explanation:
pretty sure its seven
Gh bisects cf =2y-2 and cd =3y-11 find cd
Answer:CD is 4
Step-by-step explanation: ham
6abc2 + 6a2bc
A=1
B=2
C= -3
[tex]\\ \rm\longmapsto 6abc^2+6a^2bc[/tex]
[tex]\\ \rm\longmapsto 6(1)(2)(-3)^2+6(1)^2(2)(-3)[/tex]
[tex]\\ \rm\longmapsto 12(9)+6(-6)[/tex]
[tex]\\ \rm\longmapsto 108-36[/tex]
[tex]\\ \rm\longmapsto 72[/tex]
A rare disease exists with which only 2 in 1000 isaffected. There is a test for the disease that a correct positive result (patientactually has the disease) occurs95%of the time while a false positive result(patient does not have the disease) occurs1%of the time.a) What is the prior distribution of the disease and the posterior distributionof the disease given the positive result?b) Is the test good? Explain that counter-intuitive result.
Answer:
the test is good since it is right 98 percent of the time an if the test is wrong you can just take it again
If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?
PLZ HELP I NEED IT
Answer:
C
Step-by-step explanation:
for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign
The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function p(x) has point (-3, 1 )
An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x
The point that will be in the inverse function of (x,y) is (y,x)
(-3,1) -----> ( 1,-3)
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x = ??? What is x?? Solve for x
Answer:
x= 11
Step-by-step explanation:
4x-8 = 3x+3 (those angles are corresponding angles so they are equal to each other)
4x-3x =3+8
x =11
The unit circle with center at the origin is a relation but not a function Find the two functions which are semicircles of the unit circle and determine their domains and ranges?
Answer:
Step-by-step explanation:
The relation is x²+y²=r² with r being the radius
[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]
say whether each of these statements about square numbers is always true, sometimes true or never true
a the last digit is 5
b the last digit is 7
c last digit is a square number.
last digit is not 3 or 8
Assigning answers to statements about square numbers, whether it is always true, sometimes true or never true:
a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8 - never trueWhat are square numbers?
The term square numbers refers to numbers which are gotten when an integer multiplies itself. It is also called a perfect square. This number type is important in the field of mathematics and always applied.
Example of perfect squares are 4, 9, 16, 25, 36, 49, 64. 91, 100 and so on.
A perfect square will never have 2, 7, 3, or 8 as the last digit hence we can say that:
a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8 - never trueRead more perfect squares here: https://brainly.com/question/26119721
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find the derivative of the function y= x^20
Answer:
Step-by-step explanation:
[tex]\frac{dy}{dx} =20x^{19}[/tex]
2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Answer:
C. 3x²-12x+y
Step-by-step explanation:
2x − 6y + 3x² + 7y − 14x =
3x²+2x-14x-6y+7y =
3x²-12x+y
What is the measure of central angle AOB to the nearest tenth of a degree?
Answer:
Lob is the answer the the 2
The measure of central angle AOB is 2.
What is measure of central angle?The measure of the central angle stands twice the measure of the inscribed angle subtended by the identical arc. (An inscribed angle exists an angle whose vertex fibs on the circumference of the circle.) The sum of the measurements of the central angles of a circle with no common points stands 360°.
Central angles exist subtended by an arc between those two points, and the arc length stands the central angle of a circle of radius one.
The measure of central angle AOB is 2.
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Janice is building a model volcano for the science fair. To find the right ratio, she starts by mixing small amounts of baking soda and vinegar. She finds that adding 1.5 teaspoons of baking soda for every fluid ounce of vinegar produces the best eruption. If Janice plans to us 0.5 cups of vinegar for her project, how many tablespoons of baking soda should she use?
Answer:
6 tablespoons of baking soda
Step-by-step explanation:
There are 8 fluid ounces in 1 cup and shes going to use half a cup so that means shes going to use 4 fluid ounces of vinegar. To find how much baking soda she is going to use, we are going to multiply.
1.5 * 4 = 6
Best of Luck!
Answer:
3 Tablespoons, 6 teaspoons
Step-by-step explanation:
In order to find the right ratio of Baking Soda to Vinegar we have to find ratio given,... they tell us that for every 1.5 teaspoon of baking soda, you must add 1 fluid ounce or vinegar,... thus the ratio of Baking Soda to Vinegar is (1.5 teaspoon / 1 Fluid ounce)
There are:
3 teaspoons = 1 Tablespoons
8 fluid ounces = 1 cup
So if you use 0.5 cups of Vinegar as they tell us we do than that is the same thing as using 4 Fluid ounce, and because your problem say 1.5 teaspoon of baking soda for every Fluid ounce of vinegar all you have to do it multiply your 1.5t by your 4 to get how many teaspoons of Baking Soda you will need,...
1.5 * 4 = 6
You need 6 teaspoons or 3 Tablespoons,...
Hope that helps,... and I'll see you in life,... well not, literally, but you get what I mean,... Chow!
2/5 over 2/3, I don't understand
Answer:
it basically means 2/5 divided by 2/3. The answer comes out to approximately 1.067
Step-by-step explanation:
In other words (2÷5) ÷ (2÷3)
Hope that answers your question!