47. H(x) = (2x + 3)4 48. H(x) = (1 + x²) * 3 50. 1 (х) — Vi- 52. H(x) = |2r + 3| 49. Н(х) — V#+1 51. H(x) = |2x + 1|

Q: Section 2.4: Chain rule In Exercises 9–34, find the derivative of the function.

A:

Q: 1. If f(x) is a function such that f(1) = 2, f(n + 1) = (3f(n)+1)/3 for n = 1, 2, 3, ..., what is…

A:

Q: Problem 1. Give an example of a function w = f(z) with a simple w- point at every point of a domain…

A:

Q: 4. Below are models for the number of hours of daylight in Seward, Alaska (60 degrees latitude) and…

A: The given functions are D=12.2−6.4cosπt+0.26 and D=12.2−1.9cosπt+0.26.

Q: on f is given by f(x) = x -2. Find each of the f(3) (b) f(4) (c) f(a + 2)

A:

Q: In Problems 93–104, graph each polynomial function. 93. f(x) = x + 2r? - 5x - 6 94. f(x) = x' + &r?…

A: As per company guidelines, I can solve only one question.

Q: 5. The table shows different values for the function A(x) = 2x5 + 16x¹100x³-528x²-1890x. B(-1)=0…

A: In the given problem mentioned that the table shows different values for the function. So instead of…

Q: Find the area of the region below f(t), above the t axis, and between t = 0 and t = 2.

A: Given: ft=t for finding area of region below ft, first we draw graph of it as below

Q: 4- = 0

A: Please find attachment

Q: Example 15. Given the function { if x 1, ax + 1, f(x) = find the real constants a and b such that…

A:

Q: Question 1 1. Determine whether a – 6, if 0 6 f(a) = 6. is continuous at a = 6

A: Solution: Consider the given function is  f(a) = a-6      if 0≤a<66           if a = 62a-12 if…

Q: Problem 4. Let f : X → Y and g : Y → X be functions. Suppose that gof = 1x. Prove that f is…

A:

Q: What is the value (i.e. what do we learn) from using the Wronskian on a set of functions?

A: Let F = { f1, f2, f3, ...fn} be the set of functions. 1. If W(f1, f2, f3,...fn) =0 Then we say…

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A:

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.