Valid or not?: For each of the following, tell if they are a valid CDF or not. Clearly giving your reasoning. a) 1 Fx(x) = - 00 0.8 0 Otherwise c) 0 < x < 0.8 Fx(x) = {0.9 r>0.8 Otherwise d) -1+x 0 2 Otherwise

Q: I. In each item below, show whether the following is TRUE or FALSE. Support your answer with a…

A: a. True, because 36=12×3 b.

Q: Evaluate lim 2r²+1) X-1 3x2-2

A:

Q: -2X-4 O lim x³+2x? X-2

A:

Q: In the following examples, some mistakes have occurred. Identify the mistakes and make corrections.

A: The given function is,

Q: 1) Find the natural domain for the following: x +6 f(x) = 8- Vx2 - 25

A:

Q: - For the functions f(x) = x + 2 and g(x) = x - 3, which expression has the greatest value? a)…

A: We have given:Find the composite function :Find the composite function :

Q: Which of the following is not a possible zero of f (x)=2x-5x+12?

A:

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: (x-1 f(x)= {2x -1 |-3x +8 if if xs-2 if -2 4 f(-1) = f(-4) = f (5) =

A:

Q: what is the domain of  (x+8)/(x+1)

A: Consider the function

Q: a2 + (11 – 4x) a. Evaluate f(6) given that f(x) %3D 9x f(6) = 23/54 Preview %3D b. Evaluate g(x + 2)…

A:

Q: 7. If f(x) = 3x + 5 and g(x) = x + 2x - 3, determine x such that f(g(x)) = g(f(x))

A:

Q: 10. Use the function k(x) = x + 4x + 3. a) Write explicit equation for three functions f(x), g(x),…

A:

Q: What is the solution set for x+1/x(x+2)?

A:

Q: Match three of the below statements to the definition of f that makes them true, and identify the…

A:

Q: Consider the following. f(x) = x³-6x² + 3 (a) Find f'(x) and f"(x). 3x² - 12x f'(x) = f"(x) = 6x -…

A:

Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

Q: Evaluate lim,-(-- 7 - 10 + 4) | 4x3 O +∞ O -7 O -10 8.

A:

Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: lo) Let x-16 X+4 >メキ-4 K Xニー4

A:

Q: Determine |7x + 42|| lim x + 6 x - -6 + |7x + 42 | lim x + 6 X- -6 -

A:

Q: 3/4(8y-9)&lt;3

A: We multiply both sides by 4 first.

Q: Evaluate the following r+1 (1) -1+1 (i) 1² – x + 2

A: Given: I=∫x+1x2-x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: If f(x) = f(-3) = f(0) = f(2)= 2x-1 x²+3 for x ≤0 for x>0 " evaluate the following.

A:

Q: Apply Corollary 2 to the Intermediate Value Theorem. f is a polynomial and continuous everywhere.…

A: Given that, f(-3) = 170 &gt; 0 f(-2) = -25 &lt; 0 f(-1) = 2 &gt; 0 f(0) = -1 &lt; 0 f(l) = 2 &gt; 0…

Q: a) k(-13)  b) k(9) c) k(26)  k(-13)=  Given the function k described by k(x)=6x, find each of the…

A: (a)Given information:

Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

A:

Q: - Give the domain for k(a) in interval notation. x2 + 3x +2

A:

Q: 3(2x+7), x+1 5. -3

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.