If f Subscript x(a,b)equals f Subscript y(a,b)equals0, does it follow that f has a local maximum or local minimum at (a,b)? Explain. Choose the correct answer below. A. Yes. The point (a,b) is a critical point and must be a local maximum or local minimum. B. Yes. The tangent plane to f at (a,b) is horizontal. This indicates the presence of a local maximum or a local minimum at (a,b). C. No. One (or both) of f Subscript x and f Subscript y must also not exist at (a,b) to be sure that f has a local maximum or local minimum at (a,b). D. No. It follows that (a,b) is a critical point of f, and (a,b) is a candidate for a local maximum or local minimum.
Answers
Answer:
D.
Step-by-step explanation:
The point must be a critical point but it could be a saddle point. If the point is a saddle point it would not be neither a maximum nor a minimum. So it must be critical but it does not follow directly that it has a local maximum or local minimum.
Therefore D. (a,b) would be a candidate, but is not necessarily a maximum or minimum. It could be a saddle.
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Members of a softball team raised $2039.50 to go to a tournament. They rented a bus for $1157.50 and budgeted $49 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
Hey can you please help me posted picture of question
Find the volume of Figure A
Answers
9514 1404 393
Answer:
1 m³
Step-by-step explanation:
The ratio of volumes is the cube of the ratio of corresponding linear dimensions.
Va/Vb = ((2 m)/(8 m))³ = (1/4)³ = 1/64
Va = Vb(1/64) = (64 cu. m)/(64) = 1 cu. m
The volume of figure A is 1 m³.
Answers
Answer:
38.9
Step-by-step explanation:
Answers
Approximately 68.26% of the measurements fall between 46 and 74 in this distribution.
To find the proportion of measurements between 46 and 74 in a normal distribution with a mean (μ) of 60 and a standard deviation (σ) of 14, we can use the standard normal distribution (z-score) and the cumulative distribution function (CDF).
First, we need to convert the interval endpoints to z-scores using the formula:
z = (x - μ) / σ
Where x is the value in the interval, μ is the mean, and σ is the standard deviation.
For x = 46:
z₁ = (46 - 60) / 14
z₁ = -1
For x = 74:
z₂ = (74 - 60) / 14
z₂ = 1
Using the Excel functions:
=NORM.S.DIST(-1) and =NORM.S.DIST(1)
The probabilities are 0.1587 and 0.8413 respectively.
Now, we want the proportion of measurements between z₁ and z₂, which is:
Proportion = 0.8413 - 0.1587
≈ 0.6826
To learn more about the z-score;
#SPJ12
Answers
3 pieces = 11/2 x 3 = 33/2 yard long
She still has 2 yards left,
so the roll has 33/2 + 2 = 37/2 = 18 1/2 yards.
Answer: 18 1/2 yards
Answer:
3
Step-by-step explanation:
3 One-fourth yd pieces of fabric from a StartFraction 6 Over 8 EndFraction yd piece of fabric.
Answers
Answer:
Step-by-step explanation:
Why are you asking? Why isn't your friend?
The diagram assumes that the angle on the lower left of the triangle is a right angle. If it is not, then I don't think there is a way that this can be solved.
Tan(A) = opposite / adjacent
opposite = 7
Adjacent = 4
Tan(A) = 7/4 = 1.75
A = inverseTan (1.75)
A = 60.60 degrees
Answers
Answer:
52.5°
Step-by-step explanation:
Given : The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°.
To Find : The measure of ∠WXZ is ?
Solution:
∠WXY = 105°
The ray XZ is the angle bisector of ∠WXY
This means XZ divides the ∠WXY in two equal angles i.e. ∠WXZ and ∠ZXY
So, ∠WXY = ∠WXZ + ∠ZXY
∠WXY = 2∠WXZ
Hence The measure of ∠WXZ is 52.5°
∠WXZ = 52.5°
∠WXY = 105°
and ∠WXY = ∠WXZ + ∠ZXY
∠WXZ = = 52.5°