Given y = f(x), the [Select] (a, f(a)) is given by Answer 1: slope provided the limit exists. In this case, the [Select] the graph is the line through (a, f(a)) with slope given by the limit. Correct! Answer 2: tangent Correct! lim h→0 Correct! f(a+h) − f(a) h of the graph at the point of line to

Q: Is there a procedure I can use to write a function as a composition?

A: We can write the innermost function as the last function. And the outermost function as the first…

Q: List the various rules that allow us to differentiate constant functions,power functions,…

A: To explain: The differentiation rule: Explanation: The constant rule is used to differentiate…

Q: The value, V, of a computer can be modeled by the function V (t) = 1, 300(.61)", where t is the…

A: The given model is: V(t)=1333(0.61)t Where, t is in years.

Q: + 4 2+ 4 y = 0 with y(0) = 1.5 and d²y dy dy (0) = 0 dt² dt dt

A: Given initial valve problem is: d2ydt2+4dydt+4y=0  ⋯⋯1 with  initial conditions y0=1.5 and dydt0=0…

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: Let, l = the length of one side of the rectangular field w = the length of the other side.

Q: Explain Limits of Function Values?

A: The limit of a function at a point 'a' in its domain (if it exists) is the value that the function…

Q: Exampe(8) Find the domain and range to the function y =: 117

A: We have to find Domain and Range of the function y = 1x Domain of a function is the input value or…

Q: True or false: fo g is the same function as go f.

A: Solution: The given statement is  fog is the same function as gof? Let  f(x) = x2g(x) = x+1 then…

Q: In plainspeak, what do composite functions do?

A: A composite function is generally a function that is written inside an another function. Composition…

Q: What is the domain and range of a function in calculus?

A: Domain of a function: All possible x values which a function accepts are called the domain of the…

Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

A:

Q: determine the range of f(x)= 3X -1 divided by X -5 

A:

Q: Explain how the vertical line test is used to detect functions.

A: Vertical line test: Draw a vertical line on the graph of the given equation. If the line passes…

Q: Should I simplify a quotient function before finding its domain?

A: No, we have to find domain first then simplify the rational function or quotient function . If we…

Q: (е2х-1)2 dx е 2х

A: topic - indefinite integral

Q: Don't we exlude -3 from the domain because of the value of f(x)?

A:

Q: Explain Even Functions and Odd Functions?

A: Even function: A function is even if the graph is symmetric about y axis. Or Consider f(x) is any…

Q: What do the Algebraic functions include?

A: An algebraic function include variables, constants and algebraic operations (such as addition,…

Q: Explain what type of function is automatically an algebraic function?

A: A function is called as an algebraic function if it is made by algebraic operations like addition,…