6. Consider the function f(x) = A (eikx + e-ikx) for -27/k

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: The function f(t)=12(1+0.03)tf(t)=12(1+0.03)t can be used to determine the population, in thousands,…

A:

Q: The time for a chemical reaction, T (in minutes), is a function of the amount of catalyst present, a…

A:

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: onsider the function F(x)=(2x2-50)/ (x-5). If we require the values of F(x) to be within e…

A: Explanation of the answer is as follows

Q: Suppose f (x) = 100x2 - 5x thousand units areproduced, where x is the number of years after 2000.a.…

A: Given  f (x) = 100x2 - 5x where x is the number of years after 2000

Q: The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the…

A:

Q: Find the domain and range of the given 9) function. m(x) = -/x - 3

A:

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: 1) f(x) = V1- x?

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Determine the value(s) of x for which the following function is discontinuous. Identify the type of…

A: The given function,         fx=2x2+3x-2x+2 Removable discontinuous:    If a function f(x) has…

Q: Rita has 360 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length…

A:

Q: Given that f(x)= x^3 - 2x^2 + 1, for a domain of [-0.5,2.1)

A:

Q: The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the…

A: Given, The amount of foreign earnings kept overseas can be approximated by the function f(x) =…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.