I
Question 10(Multiple Choice Worth 10 points)
(06.03 MC)
Which integral can be approximated by a right Riemann sum where f(x) = 2x³ +3 on the interval [2, 6]?

Answers

Answer 1
The definite integral of a function f(x) over an interval [a, b] can be approximated by a right Riemann sum as follows:

∫_a^b f(x) dx ≈ (b - a) * [f(a) + f(b) ] / 2

In this case, the function f(x) = 2x^3 + 3, the interval is [2, 6], and the right Riemann sum is calculated as follows:

∫_2^6 (2x^3 + 3) dx ≈ (6 - 2) * [ (2 * 2^3 + 3) + (2 * 6^3 + 3) ] / 2
= 4 * [ (2 * 8 + 3) + (2 * 216 + 3) ] / 2
= 4 * [ 19 + 459 ] / 2
= 4 * 438 / 2
= 876

So, the right Riemann sum for the definite integral of f(x) = 2x^3 + 3 on the interval [2, 6] is approximately 876.

Related Questions

Margot, a poetry teacher, hopes to shape her students' poetry skills so that they become progressively better over the course of writing three poems. On the first poem, she provides each student with extensive positive and negative feedback. On the second poem, she has less time for grading and only gives students a letter grade and a few positive notes. Given this feedback, how are students likely to perform on the next and final poem?
a. The poems will be of worse quality than the first two submissions.
b. Many students will not submit a third and final poem.
c. The poems will be of better quality than the first two submissions.
d. The poems will be of similar quality to the first two submissions.

Answers

Answer:

Explanation:

Based on research on feedback and motivation, the answer is likely (c) the poems will be of better quality than the first two submissions.

Studies have shown that feedback can be most effective when it is specific, timely, and focused on the task rather than the person. Margot's extensive positive and negative feedback on the first poem likely provided students with specific and useful information to improve their poetry skills. This feedback, combined with the motivation to improve, is likely to lead to better quality poems on the second submission.

Furthermore, providing a letter grade and a few positive notes on the second poem can still provide some motivation and direction for students to improve their poetry skills further. As long as the feedback is constructive and focused on the task rather than the person, it is likely to lead to continued improvement in the final poem.

Overall, the feedback that Margot provides to her students, along with their motivation to improve, is likely to lead to better quality poems over time.

A box slides down an inclined plane 37° above the horizontal. The mass of the block, m, is 35 kg, the coefficient of kinetic friction is 0.3 and the length of the ramp, d, is 8 m. (a) How much work is done by gravity? (b) How much work is done by the normal force? (c) How much work is done by friction? (d) What is the total work done?(1690J; 0; -671J; 1019J)

Answers

The principle states that an object's change in kinetic energy is equal to the net work done on it. The box's kinetic energy is constant since it is moving down the ramp at a constant speed.

What forces are at play when a box slides down an inclined plane?

On an inclination, the box is slipping. As a result, there is kinetic friction between the plane and the box. As the box moves downward on the plane, static friction causes the plane to rise. The box's weight exerts downward pressure, while the usual response force exerts upward pressure.

MGD*SIN = W gravity

W gravity = 35 kg x 9.8 m/s2 x 8 m x sin (37°) = 1689.64 J 1690 J

Frictional work is indicated by:

W friction is calculated as follows: -f k*d f k 35 kg 9.8 m/s2 sin(37°) 337.98 N

W friction is equal to -f k*d -337.98 N * 8 m -671.96 J -671 J.

W total equals W gravity plus W friction.

When we substitute the values we computed, we obtain:

W total = 1019 J - 1690 J - 671 J

As a result, the total amount of work is roughly 1019 J.

To know more about kinetic energy visit:-

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4. A researcher notes that male-female pairs of fraternal twins share a similar
environment in a mothers' womb. This exposes the female twin to higher
levels of the hormone testosterone during prenatal development. This
hormone is thought to be responsible for masculinizing the brain (it leads to
male-typical behaviors). Likewise, the male twin is exposed to higher levels
of the hormone estrogen. This hormone is thought to be responsible for
feminizing the brain (it leads to female-typical behaviors). To test whether
exposure to testosterone and estrogen may influence male and female typical
behavior, the researcher selected a sample of female-male fraternal twins and
compared them to identical twins of each gender (male, female). She measured
tendencies toward aggression using an aggression assessment where higher
scores indicated greater aggression (a male-typical trait). It was hypothesized
that if hormone exposure influenced behavior, then aggression scores will vary
among the groups.

Dependent variable:
Factor A:
Levels of Factor A:

Factor B:
Levels of Factor B:
Number of groups:

Answers

Answer: The dependent variable in this study is tendencies toward aggression, as measured by the aggression assessment.

Factor A is the gender of the twin, with two levels: female and male.

Factor B is the type of twin, with two levels: fraternal and identical.

The number of groups being compared in this study is four: female-male fraternal twins, female identical twins, male identical twins, and male-female fraternal twins.

HELP ME ON THIS QUESTION PLEASE!

Answers

The units digit of FLOW must also be F. So, F and O both represent the same digit.

How to solve this

The problem is:

FLOW x WOLF

To solve this problem, we need to identify what each letter represents. Since the same letters represent the same digits, we can assume that F and O both represent the same digit, and L and W both represent the same digit.

We can start by looking at the units digit of the product.

Since the units digit of WOLF is F, the units digit of the product must also be F. This means that the units digit of FLOW must also be F. So, F and O both represent the same digit.

Read more about multiplication here:

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PLEASE HELP!!!!! I NEED ANSWERS TO ALL QUESTIONS WITH EXPLANATIONS!!!
12. The writer is considering deleting the underlined subordinate clause in sentence 1 (reproduced below), adjusting the punctuation as necessary.

Given the failure of global corporations to clean up their palm oil supply chains so far, and the resulting massive devastation this has caused to tropical rainforests, there is no reason to believe that companies will amend their ways, especially since the demand for palm oil is expected to increase sixfold by 2050.

Should the writer keep or delete the underlined text?
A. Keep it, because it contains the writer’s personal conclusions about the future of palm oil.
B. Keep it, because it balances the writer’s assumption that companies have failed in the past.
C. Keep it, because it provides support for the writer’s lack of faith in global corporations.
D. Delete it, because it contradicts the writer’s assertion that the future of palm oil is grim.
E. Delete it, because it interrupts the writer’s line of reasoning about tropical rainforests.

13. The writer wants to add a sentence before sentence 1 to provide factual support for the introductory claim and focus the audience on the argument of the passage. Which of the following sentences best accomplishes this purpose?
A. In 2020, the World Wildlife Fund issued a scorecard rating 173 of the largest food brands on their progress toward making palm oil deforestation-free, noting that some have made limited progress.
B. In a landmark report, Greenpeace, the Rainforest Action Network, and Mighty Earth have revealed that four hundred companies, including the biggest brands, have broken their commitment to switch to deforestation-free palm oil by 2020.
C. In response to the growing concern over the deforestation wrought by palm oil harvesting, the Consumer Goods Forum formed a global coalition of four hundred consumer goods retailers and manufacturers, including some of the largest in the world.
D. According to the Rainforest Action Network, corporations that use palm oil in their products have increased transparency about their supply chains since 2010, but transparency should be improved to indicate the exact source of the palm oil.
E. The Roundtable on Sustainable Palm Oil was formed to monitor palm oil production and to certify compliant harvesters, but in 2018 it was denounced as a “con,” creating a global backlash.

14. In context, which version of sentence 4 (reproduced below) most effectively explains why oil palms are "an efficient and lucrative crop,” as mentioned in sentence 3?
The trees grow year-round, which means their oil can be harvested year-round.
A. (As it is now)
B. The trees grow year-round and have the highest yield per acre of any oil seed, thus allowing growers to maximize land usage and produce more saleable product.
C. Since palm oil has become an increasingly popular commodity, it has also become an increasingly profitable crop to produce and sell.
D. Palm tree growers can capitalize on year-round palm oil harvests, so it is surprising that palm oil production has only recently seen this rise in popularity.
E. Palm tree growers avoid the seasonal fluctuations that other growers face, which means they face fewer production obstacles.

Answers

Answer: 12. C. Keep it, because it provides support for the writer’s lack of faith in global corporations.

The subordinate clause in sentence 1 provides additional evidence to support the writer's lack of faith in global corporations. It explains the reason for the writer's conclusion that there is no reason to believe that companies will change their ways in the future, even though they have failed to clean up their palm oil supply chains so far. The clause helps to build a stronger argument by providing specific details about the negative impact of the failure of these corporations on tropical rainforests.

13. B. In a landmark report, Greenpeace, the Rainforest Action Network, and Mighty Earth have revealed that four hundred companies, including the biggest brands, have broken their commitment to switch to deforestation-free palm oil by 2020.

The purpose of the added sentence is to provide factual support for the introductory claim and focus the audience on the argument of the passage. The sentence selected (B) does this effectively by presenting the results of a landmark report that highlights the failure of companies, including the biggest brands, to switch to deforestation-free palm oil. This information sets the stage for the writer's argument that the future of palm oil is grim.

14. B. The trees grow year-round and have the highest yield per acre of any oil seed, thus allowing growers to maximize land usage and produce more saleable product.

The most effective version of sentence 4 (B) explains why oil palms are "an efficient and lucrative crop" by specifying the reasons why they are so profitable. The sentence explains that the trees grow year-round and have the highest yield per acre of any oil seed, allowing growers to maximize land usage and produce more saleable product. This information provides a clear and specific explanation for why palm oil is such an efficient and lucrative crop, which supports the idea mentioned in sentence 3.

Use synthetic or long division to divide x³ + 7x² + 7x-6 by x + 2. What is
the new expression?

Answers

Answer:

[tex]x^2+5x-3[/tex]

Explanation:

Kelly saved​ $150. That is​ 50% of the money she earned this summer. How much did Kelly earn this​ summer?

Answers


Kelly earned a total of $300 this summer. This is because 50% of $300 is $150, which is the amount Kelly saved. To calculate how much Kelly earned, you can divide the amount she saved ($150) by the percentage she saved (50%), which will give you the total amount of money she earned ($300).
Kelly earned $300 this summer. If Kelly saved $150 and $150 is 50% of the money she earned this summer, that means $150 is half of what she earned. So we can simply multiply $150 by 2 to find out how much Kelly earned. $150x2=$300

9. What contributes to a negative brand?
O A. Knowing your customers backwards and forwards
O B. Spending a little more time with customers
O C. Finding a way to go an extra step for the customer
OD. Inconsistent attributes and behaviors

Answers

D. Inconsistent attributes and behaviors
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