The slope of the line tangent to the curve 3x^2-2xy+y^2=11 at the point (1, -2) is ?
Given :
A curve : 3x² - 2xy + y² = 11
To Find :
The slope of the line tangent to the curve 3x^2-2xy+y^2=11 at the point (1, -2).
Solution :
Differentiating given curve w.r.t x is :
6x - ( 2y + 2xy' ) + 2yy' = 11
Putting the point ( 1, -2) in above equation, we get :
6 - ( 2(-2) + 2y' ) - 4y' = 11
6 - ( -4 + 2y' ) - 4y' = 11
10 - 6y' = 11
6y' = -1
[tex]y' =\dfrac{-1}{6}[/tex]
Therefore, the slope of the line tangent to the given point is [tex]y' =\dfrac{-1}{6}[/tex] .
Answer:
5/3
Step-by-step explanation:
The previous explanation was incorrect because they forgot to differentiate the other side of the equation (11), which would actually become 0, and make the answer 5/3
prove the given identity
Step-by-step explanation:
3. Let us take apart the right side
1+cos2x = 1 + cos^2x - sin^2x
1 - sin^2x = cos^2x
therefore we have 2cos^2x
Therefore we just have cos^2x/cos^2y = 2cos^2x/2cos^2y, which is true.
4. tan(x/2) = +/- sqrt((1-cosx)/(1+cosx)) using half angle identities for sin and cos.
Therefore tan^2(x/2) = (1-cosx)/(1+cosx)
If we multiply top and bottom by tanx, we get
(tanx - sinx)/(tanx + sinx), which is the right side.
What is the circumference of this circle
Answer: 12.56 km
Step-by-step explanation:
C=2(3.14)r
C=2(3.14)2
C=12.56
Find the coordinates of point B
Answer:
uhm where is the chart??
Answer: square root 2 over 2
Step-by-step explanation: edg BS algebra2b
5-37. Richard's strategy for changing a percent to a decimal is to put the decimal point in front of the percent
number. An example of his work is shown at right. Do you agree with Richard's method? Explain your reasoning.
8%=0.8
80%=0.80
800%=0.800
9514 1404 393
Answer:
no
Step-by-step explanation:
The percent symbol (%) is a shorthand way to write "divided by 100" (/100). The percent can be changed to a decimal by making that substitution.
8% = 8/100 = 0.08
80% = 80/100 = 0.80
800% = 800/100 = 8.00
Effectively, the change to a decimal is made by moving the decimal point two places to the left. Richard's strategy only works if the percentage has 2 digits left of its decimal point. It does not work in the general case.
If 5 students play the flute and 7 students play the clarinet, what is the ratio of clarinet players to fluteplayers?
Answer:
5:7
hope it helps........
Calculate the length of x.
Answer:
B
Step-by-step explanation:
Use the pythagorean theorem to find the hypotenuse. You can do this by squaring 12 and 11 (separately) and then adding those together. You'll get 265. However, since this is c squared and not c, you have to find the square root for the correct answer. The square root of 265 is approximately 16.28. Hope this helps!
Solve this system of linear equations: 4x - 2y = 8
y = 3/2x - 2
(If you explain simply and correctly, I'll give extra points)
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS
Parenthesis
Exponents
Division
Multiplication
Addition
Subtraction
Step 1
4x - 2y = 8 ,y = 3/2x - 2 equation/Question
Step 2
4x-2y=8 Substitute
4x-2( 3 /2 x-2)=8
Step 3
x+4=8 simplify
x=4
Step 4
y= 3 /2 x-2 substitute 4 for x
y= 3 /2 (4)-2
Step 5
y= 3 /2 (4)-2 simplify
y=4
answer
x=4
y=4
250% of what number 152.5
Will give brainliest to first right answer. Before a sale an items price was $28.00 then after being discounted the price was $14.60. What was the discount for the item?
Answer:
25 percent off. I think, tell me if i am wrong.
A warehouse has 10,032 batteries. The warehouse ships the same number of batteries to 12 stores. How many batteries were shipped to each store?
Answer:
836 batteries were shipped to each store
Step-by-step explanation:
Factor completely (x2 +x -6)(2x2 + 4x)
Answer:(x - 2) (x + 3) ⋅ 2x (x + 2)
Step-by-step explanation: factor the polynomial
Triangle ABC has A(-3,6),B(2,1), and C(9,5) what the length of side AB? What the length BC what the length AC and what ABC
Answer:
AB = 5√2
AC = √145
BC = √65
Step-by-step explanation:
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
For AB A(-3,6),B(2,1),
AB = √(2+3)²+(1-6)²
AB = √(5)²+(-5)²
AB = √25+25
AB = √50
AB = 5√2
For AC A(-3,6) and C(9,5)
AC = √(9+3)²+(5-6)²
AC = √(12)²+(-1)²
AC = √144+1
AC = √145
For BC B(2,1), and C(9,5)
BC = √(9-2)²+(5-1)²
BC = √(7)²+(4)²
BC = √49+16
BC = √65
Since All the sides are difference, hence triangle ABC is a scalene triangle
Pls help me I’m failing math
Answer: See explanation
Step-by-step explanation:
The best deal would be either I or III. Either would result in a discount of 25% which is better than the other which is 20%
Imagine that each of these 40 students then made their choices from the list of four personality
types. What proportion of the 40 students needs to match correctly to provide convincing
evidence that there is a connection between sign and personality type? Explain your reasoning.
The value of x must be greater than
0
1
3
7
LOOK AT PIC FOR ANSWER
Step-by-step explanation:
I guess the answer is 7....
I am not sure....I tried
Of 290 students in school,20%wear glasses. Is 75,95,58, or 119 a reasonable estimate for the number of students wearing glasses
Answer: 58
Step-by-step explanation: can't really explain, but I promise that's right
Answer:
58 is a reasonable estimate for the number of students wearing glasses.
Step-by-step explanation:
20% of 290 ( or 290*0.2) is equal to 58.
Therefore, the answer is 58.
I hope this helps!
A jewelry store marks up the price of bracelets they purchase at $30.00 each by 75%. What is the markup and new price of each bracelet?
The angle of elevation of the top of the building at a distance of 50 m from its
foot on a horizontal plane is found to be 60 degree. Find the height of the
building. *
86.6 m
50 m
60 m
50.3 m
Answer:
this is so easy
see answer
answer from india
mark me as brainlist
How many times greater is the value of the 4 In 42,672 than the value of the 4 in 37,426
Step-by-step explanation:
it 100 more than the 4 in 37,426
I need help please help me this math
evaluate sigma notation k=0 4 3k + 1
The answer should be 126 or A.
which expression is equavalent to -3(2m-1)-n
A 6m-n-3
B 6m-n+3
C -6m-n-3
D -6m-n+3
Answer:
D.) -6m - n + 3
Step-by-step explanation:
-3 (2m - 1) - n
-6m + 3 - n
-6m - n + 3
If I helped, please mark me the Brainliest!?!
How many China stick insects that are a length of 64 mm will it take to make one decimeter, one meter, one decameter, one hectometer, and one kilometer? I NEED THIS ASAP, LIKE RIGHT NOW, PLEASE I BEG YOUUUU
Answer:
deciameter form is 16.256.... one meter is 100.... one decameter 100.... one hectometer is 10000.... one kilometer 10000
Step-by-step explanation:
If f(x) = 3x and g(x) = -2x + 7, what is f(g(-2))?
Answer:
9
Step-by-step explanation:
-2 x -2 + 7 = 3 x 3= 9 I'm pretty sure that's it I did it like a month ago just realized I did it wrong sorry
How do the graphs of the functions differ from the graph of f(x)=3.5x^3?
For each function, select Steeper, Less steep, or Reflected over the x-axis to describe the differences between the graph of the function and the graph of f(x).
Select all answers that are correct.
Given:
The function is [tex]f(x)=3.5x^3[/tex].
To find:
Whether the given function is Steeper, Less steep, or Reflected over the x-axis to describe the other function.
Solution:
Transformation of function: If f(x) is function and
[tex]g(x)=a\ f(x)[/tex]
Here, a is vertical stretch or compression.
If 0<|a|<1, then g(x) is less steeper than f(x) because f(x) is vertically compressed.
If |a|>1, then g(x) is steeper than f(x) because f(x) is vertically stretched.
If a is negative, the f(x) is reflected over the x-axis, to get g(x).
On comparing the function [tex]p(x)=4.5x^3[/tex] with [tex]f(x)=3.5x^3[/tex], we get 4.5>3.5 So, it is the case vertical stretched and p(x) is steeper than f(x).
On comparing the function [tex]q(x)=-x^3[/tex] with [tex]f(x)=3.5x^3[/tex], we get |-1|=1<3.5 So, it is the case vertical compression and q(x) is less steeper than f(x) and because of negative sign the function is reflected over axis.
On comparing the function [tex]r(x)=3x^3[/tex] with [tex]f(x)=3.5x^3[/tex], we get 3<3.5 So, it is the case vertical compression and r(x) is less steeper than f(x).
Therefore, [tex]p(x)=4.5x^3[/tex] is steeper.
[tex]q(x)=-x^3[/tex] is less steep and reflected over the x-axis.
[tex]r(x)=3x^3[/tex] is less steep.
Sophia exchanged 1000 U.S. dollars for the South African currency which is called the rand. The exchange rate was 8.05 rand to 1 dollar please explain how you know
Answer:
Sophia gets 7,150
Step-by-step explanation:
40 POINTSSSS
Please make sure it is correct
Crew owes his mom $23 and James owes his mom $8. Which amount has the greatest magnitude?
Crew because 23>8 23 is larger than 8
Magnitude=A great size, or extent of something
Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave a small explanation)