:) Find the average value of the function f (x) = 2sin ( Tx) cos ( Tx) on the interval [1,5]. --; Find the limit of the sequence V lim 9 n +3 Show your work. 3 n+9 n- 00

Q: Find the value of the constant c that makes the following function co f(x) = = uous [cx + 7 cx² 7 if…

A:

Q: 2. a. f(x) = (x+2)/(x +4). Use the Mean Value Theorem on the interval [0, 4] to find all values of x…

A:

Q: 10 5. Consider a function f (x) that satisfies all the conditions listed. i. fis defined and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 9 √x - 45 X - 25…

A: Here we will solve it on doing comparison with the definition

Q: 33. Given the function, defined in the range [0, 1], find the function P(x) defined in the ra [0,]…

A:

Q: Suppose the function fis continuous and has domain (-0o, 00) and has all of the following…

A: You have posted multiple subparts. As per the instruction, we will be answering only the first four…

Q: Suppose the function f is continuous and has domain (-o, 00) and has all of the following…

A:

Q: Find constants a and b such that the function 3– bx, if x>-2 f(x)=- -1, if x=-2 ax – bx, if x<-2 |…

A: Given query is to find the value of a and b.

Q: 1.3 Let fn: (-3, 3] R be defined by fa(r) Find the pointwise limit of fa(x). %3D

A:

Q: 2.2 Consider the sequence of functions (fa(x)} = {n²x(1 – x)"} for x€ R. 2.2.1 Sketch on the same…

A: Since you have posted a question with multiple sub-parts, we will solve any three sub-parts for you.…

Q: 1. Analyze f(x). Find the domain of f. Find the intercepts. Find asymptotes. 2. Analyze f'(x). Find…

A: Step 1:

Q: 1. Consider the function f(x) = r+1+ Note that r -4 1² – 4 r*(r² – 12) f'(x) 82(r² + 12) (1* – 4)ª…

A: a)Linear asymptotes of the given graph f(x) Vertical Asymptotes: The line x = L is a vertical…

Q: 1 Calculate the difference quotient for f(x) = at a = 4. V2x + 9 (Express numbers in exact form. Use…

A:

Q: In this problem you will calculate +1) dæ by using the definition 4 | f(2) da = limIE f(z:)A¤ n00…

A:

Q: . There is a function f that's continuous at 0 and f(x) = f(2x) for all x's please show that f must…

A: Answer for sub question 1a: First step is to show fx=f2-nx for each integer n≥0. If n=0: fx=f2-0x…

Q: 2. Determine whether the Mean Value Theorem applies for the function over the given interval.…

A: We Know that the Mean Value Theorem states that if f is continuous over the closed interval [a,b]…

Q: (c) Find the limit of the following function as r →∞ and r → -o∞ 9x* +x 2x4 + 5x² – x +6* h(x) =

A: We will use lim x-&gt; inf 1/x^n=0