Write an explicit formula that represents the sequence defined by the following recursive formula


please help

The gradient vector field of function f(x,y) is given as follows:

grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.

Suppose that we have a function defined as follows:

f(x,y).

The gradient function is defined considering the partial derivatives of function f(x,y), as follows:

grad(f(x,y)) = fx(x,y) i + fy(x,y) j.

In which:

fx(x,y) is the partial derivative of f relative to variable x.

fy(x,y) is the partial derivative of f relative to variable y.

The function in this problem is defined as follows:

f(x,y) = xe^(3xy).

Applying the product rule, the partial derivative relative to x is given as follows:

fx(x,y) = e^(3xy) + 3xye^(3xy) = (1 + 3xy)e^(3xy).

Applying the chain rule, the partial derivative relative to y is given as follows:

fy(x,y) = 3x²e^(3xy).

Hence the gradient vector field of the function is defined as follows:

grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.

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Answer:

N<3

Step-by-step explanation:

Rodger's weekly unemployment amount is $697.54

What is the total of the quarterly wages of two consecutive quarters?

The total of the of the quarterly wages of two consecutive quarters is the sum of first quarter and second quarter wages

total of quarterly wages=$13,950.80+$13,950.80

total of quarterly wages=$27,901.60

unemployment compensation=total of quarterly wages/26

unemployment compensation=$27,901.60 /26

unemployment compensation=$1,073.14

The weekly unemployment amount is 65% of Rodger's state, unemployment compensation

weekly unemployment=65%*$1,073.14

weekly unemployment=$697.54

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Answer:

Step-by-step explanation:

Hope this helped ;)

Answer:

11.7

Step-by-step explanation:

pythagorean theorem is \(A^{2} +B^{2}=C^{2}\)

apply that same formula soo \(6^{2} +10^{2}=136^{2}\)

then sqaure root 136\(\sqrt{136} =11.66190379\)

round that soo now the answer is 11.7

Answer:

11.6619

Step-by-step explanation:

Look to the other answer...

The correct option that represent the box plot is

B. 41, 42, 43, 43, 43, 45, 47, 48, 50, 50

Statistical data based on the minimum, first quartile, median, third quartile, and maximum are shown graphically in a box plot.

The graph's appearance as a rectangle with lines extending from the top and bottom gave rise to the phrase box plot.

How to read a box plot:

Read the minimum value at the bottom of the first line. = 41

Read the maximum value after the final line. = 50

Read the bottom quartile, which is at the box's beginning. = 43

Read the top quartile, which is towards the box's edge. = 48

Read the median that coincides with the box's inside line. = 44

The option B fit this

median = 43 + 45 / 2 = 44

first quartile = 43

third quartile = 48

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The dimensions of the square based prism  that holds coloured pencils has a length dimension that is 13 centimetres greater than its width is 2cm   x   2cm   x   15cm

Let the length of the pencil be represented by l

Let the width be represented by w

The length is 13 centimeters greater than the width

This can be represented mathematically as:

l   =  w  +  13........(1)

The area = Length  x  Width

Area  =  lw............(2)

Substitute equation (1) into equation (2)

Area = w(w  +  13)...........(3)

The volume of the box  = 60 cubic centimetres.

Volume   =   Area   x  width

60    =   w(w + 13)  x  w

60   =  (13 + w)w²

w³  +  13w²  -  60  =  0

Solving the cubic equation above:

w  =  2,   -12.62,  or  -2.38

Since the width cannot be negative

w   =   2 cm

The length of the pencil  =  w  +  13

The length of the pencil = 2 + 13

The length of the pencil = 15 cm

The length of the pencil =  The height of the prism = 15 cm

Since the prism is square-based:

the length = the width

Therefore, the dimension of the square based prism is:

2cm   x   2cm   x   15cm

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Answer:

im confused as to if these terms are supposed to be specific or if you are looking for certain ones

Step-by-step explanation:

but i would say congruent, corresponding angles, and equal

We have to make a suspicion based on the given data. The standard deviations of the three bunches are not given within the address, so we cannot straightforwardly decide whether the condition of equal standard deviations is met. Be that as it may, ready to make a few taught surmises based on what we know almost each gather.

The primary gather, which did not think about, is likely to have a bigger change in scores than the other two bunches since understudies with shifting levels of arrangement and capacity took the test. Subsequently, we might anticipate the standard deviation of this group to be bigger than that of the other two bunches.

It is conceivable that the condition of rise to standard deviations isn't met. In case the condition of equal standard deviations isn't met, we may require to utilize an altered adaptation of ANOVA, such as Welch's ANOVA, which does not expect a rise in changes. 

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The composition of the alloy in weight percent is approximately 1.69% copper (Cu) and 98.31% platinum (Pt).

To find the composition of an alloy in weight percent, you need to determine the relative atomic weights of the elements involved and then use the given atomic percentages (at%) to calculate their weight percentages. In this case, we have 5 at% copper (Cu) and 95 at% platinum (Pt).

1. Find the atomic weights:
- Copper (Cu): 63.55 g/mol
- Platinum (Pt): 195.08 g/mol

2. Calculate the total mass of the alloy:
(5 at% Cu × 63.55 g/mol) + (95 at% Pt × 195.08 g/mol) = 317.75 + 18531.6 = 18849.35 g/mol

3. Calculate the weight percent of each element:
- Copper: (317.75 g/mol ÷ 18849.35 g/mol) × 100% = 1.69%
- Platinum: (18531.6 g/mol ÷ 18849.35 g/mol) × 100% = 98.31%

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The answer would be B because its pieRsquared

Answer:

Below

Step-by-step explanation:

Set up a ratio:

7 is to 9   as  8 is to ?

7/9 = 8/?

? = 8 * 9/7 = 72/7  = 10  2/7

Answer:

the range is {-2, 6, 22}

Step-by-step explanation:

Use " ^ " to indicate exponentiation:  f(x) = x^2 - 3.

For each value in the domain {1, 3, 5}, calculate f(x) = x^2 - 3:

f(1) = 1^2 - 3 = -2

f(3) = 3^2 - 3 = 9 - 3 = 6

f(5) = 5^2 - 3 = 25 - 3 = 22

Thus, the range is {-2, 6, 22}

The value of the triple integral is 41/3.

The region B can be expressed as:

B = {(x, y, z) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 5x, 0 ≤ z ≤ √(25 - y^2)}

Thus, the triple integral can be written as:

∭B z dV = ∫0^1 ∫0^5x ∫0^√(25 - y^2) z dz dy dx

Integrating with respect to z first:

∫0^√(25 - y^2) z dz = 1/2 (25 - y^2)

Substituting back and integrating with respect to y:

∫0^5x ∫0^√(25 - y^2) z dz dy = 1/2 (25 - x^2)

Finally, integrating with respect to x:

∭B z dV = ∫0^1 1/2 (25 - x^2) dx = 1/2 (25x - 1/3 x^3) evaluated from 0 to 1

∭B z dV = 1/2 (25 - 1/3) = 41/3

Therefore, the value of the triple integral is 41/3.

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The probability that a randomly selected member of the US labor force was unemployed in 2011 was approximately 0.087 or 8.7%.

This can be calculated by dividing the number of unemployed individuals in the labor force by the total number of individuals in the labor force. According to the US Bureau of Labor Statistics, there were 13.9 million unemployed individuals in the US labor force in 2011, out of a total labor force of 159.7 million. Dividing 13.9 million by 159.7 million gives a probability of approximately 0.087, or 8.7%.

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Answer:

02

Step-by-step explanation:

Answer:

Input Value = 02

Step-by-step explanation:

2 multiplied by 4 is 8.

You could also divide 8 by 4 to get 2 to check your work.

Answer:

-4

Step-by-step explanation:

Parallel lines are lines that run across from each other but never intersect. For this to work, they must change at the same rate and have the same slant. This means parallel lines must have equal slopes; therefore, the slope of the parallel line is -4. It is also important to note that parallel lines must have different y-intercepts, or they would just be the same line.

See attached for a sketch of some of the cross sections.

Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).

If the thickness of each cross section is ∆x, then the volume of each cross section is

∆V = (√(x + 1))² ∆x = (x + 1) ∆x

As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,

\(\displaystyle \int_{-1}^1 (x+1) \, dx = \left(\frac{x^2}2 + x\right) \bigg|_{-1}^1 = \boxed{2} ~~~~ (B)\)

Answer: A. 7

Step-by-step explanation:

3y-2=19

3y-2+2=19+2 (add 2 to both sides)

3y=21

3y/3=21/3 (divide by 3 on each side)

y=7

The measure of angles:

∠S = 72

∠Q = 72

∠R = 180

In the given trapezium

∠P  = 108 degree

We know that for a trapezium,

The sum of the angles of two adjacent sides = 180°.

Therefore,

∠S + 108 = 180

⇒       ∠S = 72 degree

And

∠Q + 108 = 180

⇒        ∠Q = 72 degree

Now.

  ∠S + ∠R = 108

⇒ 72 + ∠R = 180

⇒         ∠R = 108 degree

Hence,

∠S = 72

∠Q = 72

∠R = 180

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Answer:

13.6

Step-by-step explanation:

add 6, 10, 12, 12, 15, and 27

you should get 82

now divide how many number you put for instance I put in 6 numbers so I divide by 6

82/6

answer: 13.6 years of age

Answer:

c is 35

d is 13

Step-by-step explanation:

I multiplied both sides, and then simplified the equation.

( plz give me brainliest, that would be most appreciated! )

The probability of choosing chocolate, vanilla, and strawberry flavor is 1 / 625

Probability determines the likelihood that a random event would happen.  The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.

The probability of choosing chocolate, vanilla, and strawberry flavor = (1 / 25)³ =  1 / 625

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Answer:

D

Step-by-step explanation:

3 represents skateboards and 1 represents bikes. We need to get from 3 to 12 and 1 to the answer by using the same number you used to get from 3 to 12.

To get from 3 to 12 you multiply by 4

3*4=12

So let's go ahead and multiply 1 by 4 as well

1*4=4

Your ratio is now 12:4 and 4 stands for bikes so there are 4 bikes

The purpose why these concepts are present in the pictures is to develop imagination power among students.

As you imagine more, your mind becomes stronger and you have greater mental control. Innovation requires a strong imagination. If you succeed in what you set out to do, the same individuals who now accuse you of daydreaming will begin to aspire to be like you. Keep your aspirations high and your imagination expanding.

Imagination is a potent brain stimulant because it forces you to think differently than most people do. Your imagination can help you come up with scenarios that most effectively handle difficulties, even though your brain might classify them as being unexpected.

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y_y+z=

9_9+86+2=

0+86+2=

86+2=88

Answer:

The equation is Y= -200 x -2000

Step-by-step explanation:

They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).

Answer:

Step-by-step explanation:

The equation is Y= -200 x -2000

Step-by-step explanation:

They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).

Answer: 103.96

Step-by-step explanation:

The complete steps are

A matrix that is produced by flipping every row and column in the original matrix.

When a matrix is transposed, its rows become columns and its columns become rows. It is especially useful in applications where the inverse and adjoint of matrices must be obtained.

Given:

AX + B = C

Step 1 : AX = C - B

and, Step 2: x = (C- B)/ A

which is the transposition of the Matrix.

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Given the matrix equation:

AX + B = C

Outline the steps for solving this equation.

Step 1:

Step 2:

DONE

Answer:

Step 1: B. Add the opposite of B to both sides

Step 2: D. Multiply both sides by the inverse of A

Answer:

14 Whole Dumplings

Step-by-step explanation:

Omar has 2 3/4 cup of dough to make dumplings. if he uses 3/16 cup of Dough for each dumpling how many whole dumplings can Omar make? Omar can make 14 whole dumplings.