e) Use the definition of derivative to prove that your guess in part (d) is correct. 21-31 Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. Ons of etch the graph of f. nd f'(x). What are 27. g(x) = /9 28

Q: Determine a function using x and y that models the relationship above.   Part B What is the…

A: here use basic of regression line

Q: A missile is shot upward from a submarine 1280 ft below sea level as shown below. The initial…

A:

Q: From the graph, find a formula that defines the function. 4 2 3 4 X -2+

A:

Q: 4. Differentiate the function. y = x*

A:

Q: Suppose you are standing at a distance, d, of 150 feet from a statue of height h feet. h 0 = d Ө…

A: Height of the statue is h feet.The distance between statue and you is d feet.

Q: Solve the following. 1. Consider the curve of the function f (x) = 2x2 a. Find an expression for the…

A: I am attaching image so that you understand each and every step.

Q: What is a function, in your own words? Give an example to back up your points.

A:

Q: Use the first derivative test and the second derivative test to determine where each function is…

A:

Q: A to B that ng is and B to C. a function from function from Show that if both f and I are one-to-one…

A: Solution:

Q: Translate each function algebraically. Be sure to adjust the interval. 5. Translate 3 units up -z+…

A: Explanation of the answer is as follows

Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

Q: Q3/ Determine whether the following functions are harmonic or not. 1. 3xy + 5xy - 2y 2. 3x²y + 2x -…

A:

Q: F: y=x² +2x+1

A:

Q: V Determine whether the following functions are harmonic or not. 1. 3xy+ 5xy2- 2y3 2. 3xy+ 2x-…

A:

Q: In a few sentences explain how would you show a function is discontinuous.

A:

Q: Can you write me an equation that expresses the fact that a function f is continuous at number 3. I…

A: In calculus, a function is said to be continuous at a particular point if the limit of the function…

Q: Outside temperature over the course of a day can be modeled as a sinusoids function. Suppose the…

A: We know that the sinusoidal model for the temperature over a course of a day is given by…

Q: Who would you algebraically find the two equations for this radical function?

A: The standard form of a the given radical function can be written as follows:

Q: 3. Write the new equation of the function transformed from y = x³ using the following information:…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: