6. (4 marks) For most functions, there is no nice integral. Consider . 10 1=1 1/3 (x +loge x)/3dx. 1/3 Here is what wolfram says about the indefinite integral. (a) Explain how you know a left hand Riemann sum will be an underestimate for A, and a right hand Riemann sum will be an overestimate. It may help to use technology to draw the function y = (x +log, x)"' from x =2 to x = 10. (b) Using technology, estimate A using Ln, the left hand Riemann Sum using n partitions for n = 100, 200, 500 and 1000. Include enough information in your solution to give a sense of how technology was used. A single screenshot of relevant information, for example, would be appropriate. Report the approximation for A to the precision justified by the sequence of answers you have obtained.

Answer:

(4,3)

You didn't list if it was clockwise or counterclockwise, so I will just assume that you were asking for clockwise.

Step-by-step explanation:

If it is a 270 degree rotation cw, then it changes from (x,y) to (y,-x).

(-3,4) ---> (4,3)

(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.

(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.

(4) If volatility were to decrease, the value of the call would decrease.

(5) If the exercise price would increase, the value of the call would decrease.

(6) If the time to maturity were 3-months, the value of the call would decrease.

(7) If the stock price were $62, the value of the call would be zero.

(8) The maximum value that a call option can take is unlimited.

In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:

C = S*N(d1) - X*e^(-rT)*N(d2)

where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.

Using the given values, we can calculate d1 and d2:

d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))

   = [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))

   = 0.9827

d2 = d1 - σ2T^(1/2) = 0.7327

Using these values, we can calculate the value of the call option:

C = S*N(d1) - X*e^(-rT)*N(d2)

= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)

= $7.70

The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.

If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.

If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.

The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.

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Answer:

$22

Step-by-step explanation:

The computation of the amount spent is shown below:

Since in the question it is mentioned that if you bought 2 than you got one bottle free

And, each bottle cost is $5.50

Now if you want 6 bottles so you have to spend tour 4 bottles to avail the offer

= 4 × $5.50

= $22

By using the point-slope equation the slope of the line is 1/2, and a point on the line is (1, 4).

In the given equation, \(y - 4 = (1/2)(x - 1)\), we can observe that the equation is already in the point-slope form: \(y - y_1 = m(x - x_1)\)

Comparing it with the given equation, we can identify the following:

\(Slope \: (m) = 1/2\)

The coefficient of \((x - 1)\) represents the slope, which is 1/2 in this case.

To find a point on the line, we can identify the values of x and y. In this equation, the value of y₁ is 4, which means the point \((x_1, y_1)\) is (1, 4).

Therefore, the slope of the line is 1/2, and a point on the line is (1, 4).

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Answer:

C. f(x) and g(x) are the same when x = 2

Step-by-step explanation:

FINDING F(X)

If you plug in x = 2 into f(x) = x+ 1, we get the expression:

   x + 1

=  2 + 1

=  3

FINDING G(X)

By looking on the graph, we see that g(2) = 3.

Since they both equal 3 when x=2, the answer choice is C: f(x) and g(x) are the same when x = 2.

Answer:

The answer is 13x-7

Step-by-step explanation:

f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.

Answer:

20 + 0.6x

Step-by-step explanation:

Answer:

B (20 + 0.60m)

Step-by-step explanation:

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

t is 7

Step-by-step explanation:

i did it

We can use the sine rule to find the hole angle, and then find the golfer angle:

Now we can find the golfer angle:

Answer: 25.6 degrees.

Answer:

12˚C

Step-by-step explanation:

If the high temperature is 6˚ and the low temperature is -6˚, the difference is

6˚-(-6˚)

=6˚+6˚

=12˚.

The program calculates the sum of all values from 1 to N (inclusive) and subtracts the sum of the provided coins. The remaining value is the missing coin's value.

Here's a Java method that can find the missing value X efficiently in the given scenario:

```java

public class MissingCoinFinder {

   public static int findMissingCoin(int[] coins) {

       int n = coins.length + 1; // Total number of coins including the missing one

       int sum = n * (n + 1) / 2; // Sum of all values if no coin is missing

       for (int coin : coins) {

           sum -= coin; // Subtract each coin's value from the sum

       }

       return sum; // The remaining value is the missing coin's value

   }

   public static void main(String[] args) {

       int[] coins = {5, 3, 1, 4, 2, 6}; // Array of coins with a missing value for X

       int missingCoin = findMissingCoin(coins);

       System.out.println("Missing coin value: " + missingCoin);

   }

}

```

In the main method, you can supply your own values for the array `coins` to test the program. In the given example, the method will find that X = 2. The program calculates the sum of all values from 1 to N (inclusive) and subtracts the sum of the provided coins. The remaining value is the missing coin's value.

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The remainder is 5. To calculate this, first, divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66. Multiply 66 by 9 to get 594, and subtract this from 599 to get 5, the remainder.

Answer:

22

Step-by-step explanation:

we have

198 --> 200

25 --> 30

so,

answer: 200 x 30 = 6000

The probability that a student owns a car or a computer is 0.45 and the probability that a student does not own a car or a computer is 0.

So, we know that:

Students who own a car: 0.65 ⇒ 65

Students who own a Computer: 0.82 ⇒ 82

Students who own both: 0.55 ⇒ 55

Probability formula: Favourable events/Total events

The probability that a student owns a car or a computer:

Favourable events: 100 - 55 = 45

P(E) = Favourable events/Total events

P(E) = 45/100

P(E) = 0.45

The probability that a student does not own a car or a computer:

Favourable events: 0

P(E) = Favourable events/Total events

P(E) = 0/100

P(E) = 0

Therefore, the probability that a student owns a car or a computer is 0.45 and the probability that a student does not own a car or a computer is 0.

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490

472 <490<500

it fits the criteria

Answer:

A.) slope is 0, y=2

Step-by-step explanation:

slope = 0 cause its flat

y =2 by the graph

Answer:

false?

Step-by-step explanation:

first, you put this question in mathematics. columbia is a “democracy” but i would say it isn’t peaceful.

the answer would be true

The greatest distance from the origin is 10, which corresponds to vertex L'' (6, 8) of the image triangle.

To determine the vertex of the image triangle that is the greatest distance from the origin, we need to follow the given transformations step by step and find the coordinates of the image vertices.

1. Translation: The given triangle is translated 4 units left and 3 units up.

  - Vertex L' is located at (-2 - 4, 5 + 3) = (-6, 8).

  - Vertex E' is located at (1 - 4, 4 + 3) = (-3, 7).

  - Vertex D' is located at (2 - 4, -2 + 3) = (-2, 1).

2. Reflection: The translated triangle is reflected over the line y = 4.

  - The line y = 4 acts as a mirror. The y-coordinate of each vertex remains the same, but the x-coordinate is reflected.

  - Vertex L'' is located at (-(-6), 8) = (6, 8).

  - Vertex E'' is located at (-(-3), 7) = (3, 7).

  - Vertex D'' is located at (-(-2), 1) = (2, 1).

Now, we have the coordinates of the image triangle vertices: L'' (6, 8), E'' (3, 7), and D'' (2, 1).

To determine which vertex is the greatest distance from the origin (0, 0), we can calculate the distances using the distance formula:

- Distance from the origin to L'': √[(6 - 0)² + (8 - 0)²] = √(36 + 64) = √100 = 10.

- Distance from the origin to E'': √[(3 - 0)² + (7 - 0)²] = √(9 + 49) = √58.

- Distance from the origin to D'': √[(2 - 0)² + (1 - 0)²] = √(4 + 1) = √5.

Therefore, the greatest distance from the origin is 10, which corresponds to vertex L'' (6, 8) of the image triangle.

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a) The corresponding z-score is 0.5 and the direction is to the right.

b) The percentage of adult spiders that have carapace lengths exceeding 19 mm is 30.85%.

If the area under the standard normal curve that lies to the right of nothing is 50%, then the z-score corresponding to this area is 0.

To find the z-score and direction that corresponds to the percentage of adult spiders that have carapace lengths exceeding 19 mm, we need to determine the area under the standard normal curve to the right of 19 mm and then find the corresponding z-score using a standard normal distribution table or calculator.

Assuming a normal distribution of carapace lengths of adult spiders, we need to standardize the value of 19 mm by subtracting the mean and dividing by the standard deviation. If we assume that the mean carapace length of adult spiders is 18 mm with a standard deviation of 2 mm, we can calculate the z-score as follows

z = (19 - 18) / 2 = 0.5

This means that a carapace length of 19 mm is 0.5 standard deviations above the mean. To find the area under the standard normal curve to the right of 19 mm, we can use a standard normal distribution table or calculator, which gives us an area of 0.3085.

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The square's perimeter is its four sides because all of its sides are equal. The square's 12 cm perimeter is what we are given, hence the measurement is perimeter.

Pictures for 12 feet less than five times the length of the sides make up a square's perimeter. Recognize the square's perimeter.

P = 4 side is a formula for calculating a square's perimeter. The side length of the square is determined by rearranging the previous formula to side = P/4 when the perimeter is known. So, by multiplying the perimeter by 4, it is possible to determine the length of a square's sides.

The square's perimeter is its four sides because all of its sides are equal. The square's 12 cm perimeter is what we are given, hence the measurement is perimeter.      

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Answer:

The first listed option (in the question)

Step-by-step explanation:

25.90/7

=$3.70

11.07/3

=$3.69

Restaurant 1 has a higher price per unit.

Answer: fast food/nuggets

Step-by-step explanation:

25.90 divided by 7 is 3.70

11.07 divided by 3 is 3.69

therefore the fast food/chicken nuggets  has a higher unit price.

Answer:

There is no graph, but unless the x value of the live repeats, yes, it is a function.

Step-by-step explanation:

Answer:

The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.

The divergence of the vector field F is positive for y > -1/3 and negative for y <  -1/3.

To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.

Here is a sample grid of points and their corresponding vectors:

(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)

(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)

(x, y) = (0, -2) -> F(0, -2) = (0, 2)

(x, y) = (1, -2) -> F(1, -2) = (0, 2)

(x, y) = (2, -2) -> F(2, -2) = (4, 2)

(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)

(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)

(x, y) = (0, -1) -> F(0, -1) = (0, 1)

(x, y) = (1, -1) -> F(1, -1) = (0, 1)

(x, y) = (2, -1) -> F(2, -1) = (2, 1)

... and so on for other values of y and for positive values of y.

To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.

F(x, y) = (xy, x + y^2)

∂F/∂x = y

∂F/∂y = 1 + 2y

divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1

Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).

For divF > 0:

If y > -1/3, then divF > 0.

For divF < 0:

If y < -1/3, then divF < 0.

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Answer:

i think its b tell me if im wrong

Step-by-step explanation:

answer:

c. 2 1/6x + 2 1/6y

step-by-step explanation:

3x−1/2y+2 2/3y−5/6x

3x−1/2y+2 2/3y−5/6x

3x−1/2y+2 2/3y−5/6x

−1/2y and + 2 2/3y

3x and - 5/6x

−1/2y + 2 2/3y = 13/6y

3x - 5/6x = 13/6x

= 13/6x + 13/6y

= 2 1/6x + 2 1/6y (simplified)

Answer:

a couple different obes

Step-by-step explanation:

there are five

The combination of scores that won the National Championship for Baylor are 18 free throws, 24 two point field goals and 6 three-point field goals.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Given Baylor University defeated Michigan State University by a score of 84 to 62.

Score of Baylor University = 84

Baylor won by scoring a combination of two-point field goals, three-point field goals, and one-point free throws.

Let the number of free throws = x

The number of two-point field goals was six more than the number of free throws.

Number of two point field goals = x + 6

Also, the number of two-point field goals was four times the number of three-point field goals.

Number of two point field goals =  4 (number of three-point field goals)

So, 4 (number of three-point field goals) = x + 6

Number of three-point field goals = (x + 6) / 4

Score for free throw = 1 point × x

Score for 2 point field goal = 2 points × (x + 6)

Score for 3 point field goal = 3 points × [(x + 6)/4]

[1 × x] + [2 (x+6)] + [3 ((x+6)/4] = 84

x + 2x + 12 + 3/4 x + 18/4 = 84

3.75x + 16.5 = 84

3.75x = 67.5

x = 18

Number of free throws = x = 18

Number of two point field goals = x + 6 = 18 + 6 = 24

Number of three-point field goals = (x + 6) / 4 = 24/4 = 6

Hence the combination are 18 free throws, 24 two point field goals and 6 three-point field goals.

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Answer: 6/5

Step-by-step explanation:

To find the y-intercept, we need to simply give x a value of 0.

==> x = 0

==> y = 1/4(0) + 6/5

==> y = 0 + 6/5

==> y = 6/5

The set of coordinates that are the solution to this question are:

(0 , 6/5)

The question only wants the intercept, so 6/5 is the answer!

Hope this helped! Have a good day ;)

The y-intercept of the line y = (1/4)x + (6/5) is 6/5, which means that the line crosses the y-axis at the point (0, 6/5).

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

In algebra, a line can be represented by an equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the point at which the line crosses the y-axis, which means that the x-coordinate of the y-intercept is always 0.

So for the equation y = (1/4)x + (6/5), we know that the y-intercept occurs at x = 0. To find the y-coordinate of the y-intercept, we can substitute x = 0 into the equation:

y = (1/4)(0) + (6/5) = 6/5

Therefore, the y-intercept of the line y = (1/4)x + (6/5) is 6/5, which means that the line crosses the y-axis at the point (0, 6/5).

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