Calculus Archives - Essay Quoll

Use Part 2 of the Fundamental Theorem of Calculus to evaluate the integral or explain why it does not exist: ∫ 𝑠𝑒𝑐2 𝑡 𝜋/4 0dt.

Posted on May 2, 2023 by Assessments

10 calculus questions Test 5 (Ch 5) 1. Express the limit as a definite integral on the given interval: 𝑙𝑖𝑚 𝑛→∞ ∑ 𝑥𝑖 𝑠𝑖𝑛 𝑥𝑖 Δ𝑥𝑛 𝑖=1 [0, 𝜋] 2. Express the integral as a limit of the Riemann sums. Do not evaluate the limit: ∫ 𝑥 1 + 𝑥5 𝑑𝑥 8 1 3. Use […]

What is the Fundamental Theorem of Calculus?

Posted on March 24, 2023 by Assessments

What is the Fundamental Theorem of Calculus? The Fundamental Theorem of Calculus is a mathematical theorem that relates the two branches of calculus: integral and differential calculus.The link between these two areas is established by the fact that differentiation can be used to compute definite integrals and integration can be used to find antiderivatives. In […]

Name some specific impacts of not remaining competitive in the market based on what you learned from your reading in the Resources section. Provide other reasons to justify prioritizing organizational sustainability.

Posted on March 16, 2023 by Assessments

In your replies to at least two peers, contribute to the discussion by sharing the potential repercussions of not taking risks to prioritize sustainability. Examples of how you could contribute to the discussion include the following: Provide examples of organizations that experienced the repercussions of not prioritizing sustainability. Reflect on how you or people you […]

Define the following terms with respect to the domain calculus: domain variable, range relation, atom, formula, and expression.

Posted on January 27, 2023 by Assessments

The Relational Algebra and Relational Calculus List the operations of relational algebra and the purpose of each. 8.2. What is union compatibility? Why do the UNION, INTERSECTION, and DIFFERENCE operations require that the relations on which they are applied be union compatible? 8.3. Discuss some types of queries for which renaming of attributes is necessary […]

In what sense does relational calculus differ from relational algebra, and in what sense are they similar?

Posted on December 14, 2022 by Assessments

The Domain Relational Calculus 8.1. List the operations of relational algebra and the purpose of each. 8.2. What is union compatibility? Why do the UNION, INTERSECTION, and DIFFERENCE operations require that the relations on which they are applied be union compatible? 8.3. Discuss some types of queries for which renaming of attributes is necessary in […]

Find the eigen values of the following matrix and discuss the applications of eigen values in engineering disciplines.

Posted on December 5, 2022 by Assessments

Q1. a. Find the eigen values of the following matrix and discuss the applications of eigen values in engineering disciplines. b. Temperature of a disk brake plate at any point (x, y) varies is represented by the T(x,y)=100/(1+x3+y3 ) where T measure in °C and x, y in meters. Find the rate of change of […]

What is the exact instantaneous rate of change of the value of the account at exactly 9 years? Give your answer rounded to two decimal places.

Posted on November 22, 2022 by Assessments

When an initial amount of money, A,A, in dollars, is invested into an account that earns interest continuously, the Future Value of the account after tt years is given by the formula: F(t)=Aert,F(t)=Aert, where rr is the annual interest rate earned by the account. Let A=$24,000A=$24,000 and r=7.9%r=7.9%. A) What is the value of the […]

Write a formula for Rn, the estimate using n rectangles and right endpoints, as a summation of n terms.Suppose that a company that produces and sells x units of a product makes a revenue of R(x) = 260x − 9×2/10 and has costs given by C(x) = 1000 + 100x + x2/10. What is the maximum profit that can be made ?

Posted on November 17, 2022 by Assessments

This week’s mastery quiz has three topics. Everyone should submit S8. If you already have a 4/4 on M4, or a 2/2 on S6, you don’t need to submit it again. Don’t worry if you make a minor error, but try to demonstrate your mastery of the underlying material. Feel free to consult your notes, […]

Find the mass of a cylinder of radius a = 0.2 m and height h = 0.5 in, and of density given by where D = 2000 kg in-.. I(P) = De.P(2-a).

Posted on November 15, 2022 by Assessments

Find the mass of a cylinder of radius a = 0.2 m and height h = 0.5 in, and of density given by where D = 2000 kg in-.. I(P) = De.P(2-a)

Create a function where you must use the product rule, quotient rule, and chain rule one time each to differentiate it. State the order in which you would take derivative by indicating which rule is used first, second, and last. Your example must contain a trigonometric function and a logarithmic function within it.

Posted on November 8, 2022 by Assessments

For this assignment, you will be applying your knowledge of derivative rules by creating a function that requires product, quotient, and chain rule when taking derivative. The second part of the assignment you have an opportunity to earn some extra credit towards your class engagement portion of your grade. Part I is the assignment and […]