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Citrus2011 [14]
2 years ago
6

If sin(1/x^2+1) is an antiderivative for f(x) then.

SAT
1 answer:
STatiana [176]2 years ago
8 0

The limit from 1 to 2 of the given antiderivative is; -0.19865

<h3>What is the Limit of the Integral?</h3>

We are given the antiderivative of f(x) as sin(1/(x² + 1)). Thus, to find the limit from 1 to 2, we will solve as;

\int\limits^2_1 {(sin\frac{1}{x^{2} + 1} )} \, dx = {(sin\frac{1}{2^{2} + 1} )}  - {(sin\frac{1}{1^{2} + 1} )}

⇒ (sin ¹/₅) - (sin ¹/₂)

⇒ 0.19866 - 0.47942

⇒ -0.19865

Complete Question is;

If sin(1/(x² + 1)) is an anti derivative for f(x), then what is the limit of f(x)dx from 1 to 2?

Read more about integral limits at; brainly.com/question/10268976

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The mean is μ = 15.2 and the standard deviation is σ = 0.9. Find the probability that X is greater than 15.2. Write your answer as a decimal rounded to 4 places.

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2 years ago
In a recent survey, 1358 arizona state university students were asked about their plans after graduation. The following results
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The answers to the given questions on the survey of students by the use of a Venn Diagram are;

A) Venn diagram attached

B) 57 Students

C) 811 Students

D) 785 Students

E) 67 Students

<h3>Understanding Venn Diagrams</h3>

We are given;

  • Total number of Students = 1358
  • Number of Students that plan to get a new job = 1194
  • Number of Students that plan to attend graduate school = 306
  • Number of Students that plan to buy a new car = 547
  • Number of Students that plan to do all three things = 46
  • Number of Students that plan to only attend graduate school = 28
  • Number of Students that plan to get a job and buy a new car, but not attend graduate school = 432
  • Number of Students that plan to get a new job and attend graduate school = 221

A) I have drawn a Venn Diagram to depict this given numbers of students and I have attached it.

B) From the venn diagram, we can see that the number of people that plan to attend graduate school and buy a new car, but not get a new job = 57

C) From the Venn diagram, we can calculate the number of students that do not plan to buy a new car is;

541 + 175 + 28 + 67 = 811

D) From the venn diagram, we can calculate the number of students plan to get a new job or buy a new car as;

541 + 175 + 12 + 57 = 785

E) From the venn diagram, we can see that the number of students that do not plan to get a new job, attend graduate school, nor buy a new car is; 67

The complete part of the question is;

A) Draw a Venn diagram that represents the situation consisting of 2. cardinalities.

B) How many people plan to attend graduate school and buy a new car, but not get a new job?

C) How many students do not plan a buy a new car?

D) How many students plan to get a new job or buy a new car?

E) How many students do not plan to get a new job, attend graduate school, nor buy a new car?

Read more about Venn Diagrams at; brainly.com/question/2099071

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