## Calculus

Suppose f is a function satisfying the following conditions: lim x→3+ f(x) = +∞, lim x→3− f(x) = −∞, limx→∞ f(x) = 2, lim x→−∞ f(x) = −1, f(0) = −3, and f 0 (x) < 0 for all x 6= 3, f”(x) > 0 for all x > 3, f”(x) < 0 for all…

## maths calculus 8 questions

Math homework assignment for basic Sequences and Series, consisting of 8 questions. It is required to complete before 24:00 (New York time) on Friday night of this week. I will also provide a note. Try to solve the problem with a method that does not beyond the content in the note.

While in the Navy, I work on radar systems. Thus, I will be talking  about pulse integration and fluctuation loss in a radar which is in a  way a part of what my job/career is thus far. Typically, you need more  than a single pulse to meet the required performance for a pulsed radar….

## Trapezoidal Rule

The Midpoint and Trapezoidal Rules   Find a resource with a tutorial/information that will help you  create a specific, original, math problem related to your topic.   Remember, you are NOT teaching the whole topic, but just how to solve  ONE PROBLEM You’ve created.  You must cite your source in APA format.   (Even if you know…

For my discussion, I choose to talk about how derivatives are used  for servo motor controls. First, we need to discuss what a servo motor  is and what it does. A servo motor is a current and voltage-controlled  electrical motor. This motor works on a closed-loop system through the  commands of a servo controller…

## Integral of a Logarithm or Natural Logarithm

You’ll learn the mechanics of integration.  Integration is the opposite of differentiation;  it will allow you to solve the differential equations that model the  mechanical loads on a beam and the charge on a capacitor, and help you  design both skyscrapers and microcircuitry.  Just as there are rules for differentiating functions, there are corresponding rules for integrating functions; and you’ll become familiar…

## Notation for a derivative

the notation for a derivative can have many forms like f ‘ (x), y’, or dy/dx.   For an opportunity for a reply credit, you can research the notations  and tell us what you found about the origin of each of the notations.   Give a description of what you found in your own words and give…

## show what happens when taking multiple derivatives with a trig function or exponential function

See attached file References: Washington, A. J., & Evans, R. (2017). Basic Technical Mathematics with Calculus (11th Edition). Pearson Education (US). Second Derivatives. Retrieved from https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-2-new/ab-3-6/v/second-derivatives

## Engineering Applied Exercise

Calculate the derivatives of polynomial, exponential, logarithmic, and trigonometric functions.   However, there are many engineering applications in which we need to  take the derivative of a function that is too complex to be written in  any of these forms.  SEE ATTACHED FILE

## Simplifying an expression using the logarithmic product rule

Find a resource with a tutorial/ information that will help you  create a specific, original, math problem related to your topic.   Remember, you are NOT teaching the whole topic, but just how to solve ONE PROBLEM you’ve created.  You  must cite your source in APA format.  (Even if you know how to create  and…