Answer: For all three functions, the direction of fastest increase at the point (1, 1, 1) is the direction of the gradient vector of the function at that point.
For function (a), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:
[2/x³, 2y, 22] = [2, 2, 22].
The direction of this gradient vector is given by the direction in which each of its components is increasing the most rapidly. In this case, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.
For function (b), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:
[4y + 4z, 4x + 4z, 4x + 4y] = [4, 4, 4].
Again, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.
For function (c), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:
[2x, 2y, 2z] = [2, 2, 2].
As before, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.
Therefore, for all three functions, the direction of fastest increase at (1, 1, 1) is the direction of the positive x, y, and z axes.
Step-by-step explanation:
Just look in the screenshot. :) And whoever helps me ty, the points will be 30!
The Triangle Similar to ΔABC is ΔDEF in which m <E = 80 and m <F = 35.
The Correct option is (A).
What is Angle Sum PropertyAccording to the triangle's "angle sum property," a triangle's interior angles add up to 180°.
What is Similarity of Triangles?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Given:
In ABC, m<A= 65 and m<B= 80
Now, using Angle sum Property
m<A + m <B + m <C = 180
65+ 80 + m<C= 180
m <C = 180 - 145
m <C = 35
So, the similar Triangle will be DEF in which m <E = 80 and m <F = 35.
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Lara’s bed is 5 feet long. How much inches long is the bed?
A. 72 inches
B. 60 inches
C. 48 inches
D. 1 yard
Answer:
B
Step-by-step explanation:
1 foot is 12 inches
5 x 12 = 60
What should be the value of a if the value of 2x² X − a 5 when x 0?
The value of a=0 in a given expression.
what are expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of phrases. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the equation x/2 + 6.
Define algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
If the value of 2x² - a*5 when x = 0 is 0, then we can substitute x = 0 into the equation and solve for a.
So,
[tex]2(0)² - a5 = 0[/tex]
[tex]-a5 = 0[/tex]
[tex]a = 0[/tex]
Therefore, the value of a should be 0.
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Why do people in upper ranks pretend like their proffesional when like 90% of them plagerize and then they have the adosity to report others
Answer: I dont know
Step-by-step explanation:
Honestly I agree
A Sale at Tinley’s Department Store Tinley’s department store is having a 25% off sale. Victor has a $15 Tinley’s gift certificate that he wants to use towards a sweater with an original price of $32.00. He is unsure which method the sales clerk will use to calculate the amount owed. Method #1: Subtract $15 from the price and take 25% off the resulting price. Method #2: Take 25% off the original price and then subtract $15.
Answer:
Method 1: $12.75
Method 2: $9
Step-by-step explanation:
method #1: 32-15 is $17
In order to take off a percentage, we must find that percentage of the amount. To do this, we must multiply by the percent in decimal form, so
[tex]17 \times .25 = 4.25[/tex]
Now, this amount just represents the percent of 17 we would take off, so we must take that amount off.
[tex]17 - 4.25 = 12.75[/tex]
We would pay $12.75
Method #2:
There are a few ways to do this with 25%. we know 25% is 1/4, and 1/4 or $32 is 8. so we can simply take that off from the start. Otherwise, we can follow the method above as follows
[tex]32 \times .25 = 8[/tex]
Again, this is the amount off so we must subtract.
[tex]32 - 8 = 24[/tex]
now, we subtract 15.
[tex]24 - 15 = 9[/tex]
We would pay $9 using this method.
Hope this helps!
holy has $125. she spends $35 on gas for her car. which model represents how much money holy has left
Answer:
Holy has $85 dollars remaining.
Step-by-step explanation:
(There is no model given in the question, so I'll tell you what the model should be equal to)
If she has $125 to spend, and she spends $35 of that money on gas, she will have $85 left.
$125 - $35 = $85
**The given angles are (-1+38x) and (36x+3)".
x=
Answer:
x = 2
Step-by-step explanation:
these angles are alternate-interior angles which are congruent
-1 + 38x = 36x + 3
38x = 36x + 4
2x = 4
x = 2
What is the coefficient of y² in the expression 2x²y 10xy² 5y?
The coefficient of yA² for the three given expressions are 2, 10 and 5 respectively.
What is expression?
It is a mathematical statement that defines a mathematical concept as well as the system of a mathematical operation express in a symbolic form.
Mathematical expression is made up of at least two numerical terms along with a sign or at least two terms along with a sign. The expression having two or more numerical terms is called numerical expression.
As example 4 + 3 or 100÷4
The expression which has both variables and numbers is called algebraic expression.
As example X+6 or 25+5y
What is coefficient?
In an expression, the numbers which are accompanied by variables is called coefficient. As example, 24 + 3y, where 3 is the coefficient of y
but 24 is a constant number.
How can we determine the coefficient from the given expression?
We are given three expressions, these are 2xA²y, 10xyA² and 5yA²
for the 1st expression, 2 is the coefficient of A²y
for the 2nd expression, 10 is the coefficient
for the last 5 is the coefficient.
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Courtney is in the process of buying a minivan. The car she wants to buy is $29,999. The required down payment is 20% . How much will she need to put down in order to purchase this car
Car insurance coverage covers damages caused by or other mishaps. The following damages are covered claims except :
A. A head on collisions .
B. A tree falls in your car during a windstorm
C. The sun weathers the paint on your car and it must be repainted
D. A thief breaks your back window and steals the guitar from your back seat
On observing the provided question we can say that - the function f(x) = a^x is Range : (−∞,∞) or all real numbers
What is Range?Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the number and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.
The answer to the question is that all real numbers or (−∞,∞)
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please help me!!!!!!!!!!!!!!
Ans
184 sq meter
Step-by-step explanation:
Area of the cuboid box = (2*FA)+(2*SA)+(2*TA)
Where FA= Front face area
SA= Side face area
TA= top face are
Here FA= length * breadth = 10*6=60 sq meter
SA= 10*2= 20 sq meter
TA= 6*2= 12 sq meter
So area of box= 2*60+2*20+2*12= 184 sq meter
The first reply is probably a bot.
"Which equation represents a line that crosses through point (3,1) and is parallel to the line y=-2x-9?"
I'm not a bot but the answer is
y = -2x + 7
Step-by-step explanation:
The slope of the new line is m = -2 and it goes through (3, 1). The equation for this is
y = -2x + b ----> 1 = (-2)(3) + b or b = 7
Therefore, the equation has the form
y = -2x + 7
How do I solve for the fourth line
Answer:
y = -8/3x + 73/4
Step-by-step explanation:
A line perpendicular to the 3rd equation has a slope that is the negative inverse of the other line. It also has the same y-intercept (b) because it is forming a square.
Therefore, the equation of the 4th line is:
y = -8/3x + 73/4
If Matrix A is 5 x 2 and Matrix B is 3 x 5, then Matrix BA is 5 x 5.
Answer:
Correct, 25.
Step-by-step explanation:
Does anyone know the answer to this?
Answer:
41
Step-by-step explanation:
Which shows the list below in order from LEAST to GREATEST?
I’ll mark brainlist : )
Answer:
A
Step-by-step explanation:
All you have to do is simplify all of them and put them in order from least to greatest.
Answer:
It is A
Step-by-step explanation:
The negative are suppose to be first s it is A
NEED HELP DUE TOMORROW PLS!!!!!!
The cost of filling the cone to its full capacity would be = 189.4 cents
What is a cone?A cone is a three-dimensional figure in geometry that tapers from a flat base (usually a circular base) to a point called a vertex or longitude (which forms an axis through the center of the base).
The formula for the volume of a cone = πr²h/3
Height (h) = 5 inches
Radius (r) = 3 inches
π = 3.14
volume = 3.14 × 3² × 5/3
= 3.15 × 9 × 1.67
= 47.35 in³
But 1 in³ = 4 cents
47.35 in³ = X
Make X the subject of formula;
X = 47.35 × 4 = 189.4 cents.
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Is 2x 3 a linear equation in two variables?
Therefore , the solution of the given problem of linear equation comes out to be it is not a linear equation in two variables.
A linear equation is defined.A linear model is the one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "mathematical expression having two variables" both y and x are different factors. Bivariate linear equations are two-variable linear equations. There are several uses for linear equations: , all result in zero. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. Y=mx+b is the formula for an equation, where m stands for the slopes and b for the y-intercept.
Here,
Given : 2x + 3 =0
thus,
To find that it is linear equation in two variable is given equation
As,
We can see there is only one variable that is x.
So , it is not a linear equation in two variables.
Therefore , the solution of the given problem of linear equation comes out to be it is not a linear equation in two variables.
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help my daughter Please. This is timed and she has 5 minutes left. No links please no links no links just the straight up answer.It is question 3. I will give brain list.
Answer:
a decagon is 36° and I'm not sure about the 20-gon sorry
Jennifer babysat for 6 hours and earned $52.50.
divide what is her hourly rate?
Answer:
$8.75
Step-by-step explanation:
52.50/6=8.75
To make sure that is correct
8.75×6
Answer:
Her hourly rate is $8.75
Step-by-step explanation:
What is the perimeter?
Help..plz
And No links!! I repeat No links!!
Answer:
12
Step-by-step explanation:
a+b+the square root of [tex]a^{2}[/tex]+[tex]b^{2}[/tex]
7+[tex]\sqrt16+9[/tex]
Does a parabola have an inverse?
An inverse does not exist for a parabola.
What is a parabola?A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.
It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
An inverse does not exist for a parabola.
One definition of a parabola includes a line and a point (the focus) (the directrix).
The directrix is not the main focus.
The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.
A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.
Therefore, an inverse does not exist for a parabola.
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Tom wants to buy a sweater for $30 if the sales tax is 4.1% what how much will this sweater be?
Answer:
$31.23
Step-by-step explanation:
4.1% = .041
30 * .041 = 1.23
--------------------
30 + 1.23 = 31.23
Answer:
$31.23
Step-by-step explanation:
Tax is 1.23
multiply .041 by 30 and add it to 30
HELP ASAP
Similarity:Question 10 Which rectangle is similar to a rectangle with length 12 cm and a width 20 cm?
Select one:
a rectangle with dimensions 3 cm and 5 cm
a square with perimeter 180 cm
any rectangle with perimeter 180 cm
a rectangle with dimensions 50 cm and 60 cm
Answer:
the answer is a rectangle with dimensions 3cm and 5cm
What is the area of the polygon?
6 inches 3 inches
Answer:
9
Step-by-step explanation:
James is building a doll house that is proportional to his own house. He is using a scale of 0. 5inch = 1foot. If the doll house is 12. 3inches tall, how tall is his house. ?
James's house is 24.6 feet tall because he is using a scale of 0.5 inch per 1 foot. To get this measurement, he multiplied 12.3 inches (the height of the doll house) by 2.
1. Take the height of the doll house (12.3 inches).
2. Multiply 12.3 inches by 2.
3. The result is 24.6 feet which is the height of James's house.
James is building a doll house that is proportional to his own house. He is using a scale of
0.5 inch = 1 foot,
which means that for every 0.5 inch in the doll house, 1 foot is represented in his house. To calculate how tall his house is, we need to figure out how many inches the doll house is. The doll house is 12.3 inches tall. To get the height of James's house, we need to multiply this by 2. Thus, 12.3 inches multiplied by 2 equals 24.6 feet, which is the height of James's house. This is because for every 0.5 inch in the doll house, 1 foot is represented in his house. Therefore, with the scale of 0.5 inch = 1 foot, the height of James's house is 24.6 feet.
1. Determine the scale of the doll house (0.5 inch = 1 foot).
2. Measure the height of the doll house (12.3 inches).
3. Multiply 12.3 inches by 2.
4. The result is 24.6 feet which is the height of James's house.
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I neeed answers plz for the whole page
Answer:
d
50.5
not a function
A
? cant see the last one
Step-by-step explanation:
hello please help i’ll give brainliest
Witch ones do I select
On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.
What is proportionality?When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.
Here,
U/5 = 17/11
U = 17/11 X 5
U = 7.72
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vivian and her dad drive from Boston to niagara falls it takes them 9 hours to drive 495 miles what is their driving rate in miles per hour.
Answer:
55 miles per hour
Step-by-step explanation:
The equation is:
R = d / s
We know
d = 495 miles
s = 9 hours
Let's solve
R = 495 / 9
R = 55 miles per hour
So, their driving rate is 55 miles per hour
Find the value of x in the figure
Answer:
x=40º
Step-by-step explanation:
A straight line is 180º
180-40=140º
180-140=40º
x=40º
Hope this helps :)