Need Help With 4 Calculus Questions

  • Thread starter Jonny B
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    Calculus
In summary: #2 and #3 are linked by the requirement to "make a plot" in #2, and "evaluate the limits" in #3.Does that help you?In summary, the conversation involves a student seeking help with four math problems. They have completed four of the problems but are struggling with the remaining four and express uncertainty about their approach. The expert suggests that they show their attempts and limit the number of problems per thread. The expert also provides a solution for problem #4 and notes that problems #2 and #3 are closely related.
  • #1
Jonny B
2
0
1. http://s24.postimg.org/jdd9l8ayd/q8q_a.jpg
2. http://s24.postimg.org/z04iyloqd/q1q_a.jpg
3. http://s24.postimg.org/oeknmliet/q2q.jpg
4. http://s24.postimg.org/puw64qlbp/q6q.jpg




Questions are in the links above.



I completed 4 out of the 8 problems. I just don't know how to do these (As in I know what I'm doing is wrong).
 
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  • #2
What don't you understand about problem 1? Establish continuity between the two parts by selecting k Hint: The value of f(3) must be the same when approaching x = 3 from the right and the left.

2. A plot is required.

3. After making the plot for 2, evaluate the limits.

4. Evaluate the limit.

IMO, these are very simple problems.
 
  • #3
4 would be 0 correct?
 
  • #4
Jonny B said:
1. http://s24.postimg.org/jdd9l8ayd/q8q_a.jpg
attachment.php?attachmentid=57601&stc=1&d=1365370992.jpg


2. http://s24.postimg.org/z04iyloqd/q1q_a.jpg

3. http://s24.postimg.org/oeknmliet/q2q.jpg

4. http://s24.postimg.org/puw64qlbp/q6q.jpg

attachment.php?attachmentid=57604&stc=1&d=1365371157.jpg


Questions are in the links above.

I completed 4 out of the 8 problems. I just don't know how to do these (As in I know what I'm doing is wrong).
Hello Jonny B. Welcome to PF !

According to the rules of this Forum, you need to show what you've tried before we can help you.

Also, you should include no more than two problems per thread.

The answer to #4 is zero.Added in Edit:
I do notice now that #2, and #3 are closely related.
 

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  • #5
#2:
attachment.php?attachmentid=57605&stc=1&d=1365371788.jpg



#3.
attachment.php?attachmentid=57606&stc=1&d=1365371849.jpg
 

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1. What is calculus?

Calculus is a branch of mathematics that deals with the study of changes and rates of change in mathematical functions. It is divided into two main branches: differential calculus, which focuses on the instantaneous rate of change of a function, and integral calculus, which deals with the accumulation of quantities over a given interval.

2. Why is calculus important?

Calculus is a fundamental tool in many fields of science and engineering, including physics, economics, and engineering. It allows us to solve complex problems involving rates of change, optimization, and accumulation, making it an essential tool in understanding and predicting natural phenomena.

3. What are the basic concepts of calculus?

The basic concepts of calculus include limits, derivatives, and integrals. Limits are used to describe the behavior of a function as the input approaches a certain value. Derivatives measure the instantaneous rate of change of a function, while integrals measure the accumulation of a quantity over a given interval.

4. What are some real-world applications of calculus?

Calculus has numerous real-world applications, including predicting population growth, determining optimal production levels in business, and analyzing the trajectory of a rocket. It is also used in engineering to design and optimize structures, as well as in economics to model and predict market trends.

5. How can I improve my understanding of calculus?

To improve your understanding of calculus, it is important to practice solving problems and to seek help from a tutor or teacher if needed. It may also be helpful to break down complex concepts into smaller, more manageable parts and to make connections between different concepts. Utilizing online resources, such as tutorials and practice problems, can also be beneficial.

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