Summation notation to infinity

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Calc Questions & Answers

1) Make a List of 10 Mathish words or terms that were covered in this Calculus class and provide a brief definition ( more than 10 words)
Answer: Since it is more on your experience in the calculus course, I can just give you suggestions on the words that I know on the Calculus subject.
Differential Calculus - a branch of calculus that deals with the study of the change in the values of a function with respect to the change in the values of an input variable.
Integral Calculus - a branch of calculus that deals with the study of summation of differentials under the function curve.
Summation - it is the process of adding up all the values given.
Limit - it is described as the value of a function as its independent variable reaches a certain point.
Maximum - It is the maximum point of the curve of a function.
Minimum - It is the minimum point of the curve of a function.
Tangent line - it is the line that touches only one point of the given curve.
Asymptote - It is a line or curve that a graph approaches more closely as it approach a certain value of its independent variable.
L'Hôpital's Rule - It is a rule developed to obtain the limit of a rational function. Its limit is equal to the derivative of the numerator divided by the derivative of the denominator substituting the variable's value on the given limit.
Delta - It is a term used to describe a change in value. It is usually equal to the difference between 2 values.
Critical point - It is the point where in the value of the derivative of the function is equal to zero. It indicates either a maximum or a minimum.
Bounded region - it is the region under the curve within certain boundaries. Its area can be computed using integral calculus.

2) If Zero * Infinity is considered Non-Sense, What is Zero divided by Infinity? Give a 25-word or so explanation

Answer: Zero divided by infinity is like . Since approaches the value of zero, it is like zero multiplied by zero. So zero divided by infinity is equal to zero.

3) Write the sum 2 + 4 + 6 + .....+ 98 + 100 in summation notation.

Answer:

4) You want to make a tin can using as little material as possible. If the volume of the can is 64 cubic
inches, what should the radius and height of the can equal?

Answer: We first have to substitute one of the variables to derive a one-variable equation for perimeter.

Then we solve using derivative:

Then we equate it to 0 to get the minimum:

5) A farmer with 750 feet of fencing wants to enclose a rectangular ...