b. {r|x € N and 7

Q: f(x) = -(x + 1)² +3 for -6 for x + 4 for − 4 ≤ x -1 Find f(-4)

A:

Q: The tables to the right show recent state income tax schedules for individuals and married couples.…

A: Given: The table shows recent state income tax schedules for individuals and married couples. To…

Q: Sketch a graph of the function f(x) = 2x - 4sinx over the interval 0≤x≤2π.

A:

Q: 2. Determine all values of x for which 0<= x2-11/x+1<=7 (include graph and intervals tables) *in…

A:

Q: 17. The interval for function Is+3|2 1/2 is (-7/2,- 5/ 2] 0(-7/2,-5/ 2) (-00,-7/2)u(00,-5/2)…

A: Given: s+3≥12 We have to find the interval in which the given inequality satisfies.

Q: -3 For what value(s) of x is the function f(x) = 2x+4 (x²+x+1 NOT continuous? A. C. x = -2 only x =…

A:

Q: Determine whether each implication that follows is true or false. Use graphs to justify any…

A: (13) Solution: We have given that 0 &lt; x-2 &lt; 1  then we have to find out, x2-4&lt; 0.5 is true…

Q: Example 1.73. The intervals (a, b). (-o, bị, ja, oc) are complete.

A:

Q: Find g(-T" 1+h -)-2 for h<<r r

A:

Q: 10. Find the open interval of monotonicity where the following function is increasing, decreasing,…

A:

Q: Which graph represents the function that has the rule f(x) = x(x − 2)(x+6)(x + 1)? A B O D (. O 150…

A: We have given graph of function fx=xx-2x+6x+1 To get zeros of the function  Put fx=0 xx-2x+6x+1=0…

Q: Find the domain of f(x)= O {x|x€R¸x*−2,2} C O O {x|xeRx=2} {x|x€R¸x÷-4} {x|x€R¸x#4} 4x²-3 (4+x)

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Q: -a -1 for f (x) = { x + 2 x 3 Find f(-2)

A:

Q: Determine the values of x for which f(x) is continuous. Write the answer in interval notation. if x…

A:

Q: 1. Write the interval notation equivalent to {x|x > -5 and x 3}.

A: We graph this on a number line first    There is a closed circle at x=-5 because it was included…

Q: Find the values of m and n such that the function f defined by is continuous. m = Number n= Number…

A: We have to find out

Q: Find and simplify the difference quotient f(x) = 1 3x f(x+h)-f(x) h -, h#0 for the given function.

A:

Q: x+k , if x<2 x² +4 , if x22 For what value of k is the function y = < continuous? k =

A: Continuous function. Given function f is continuous if its left hand limit is equal to its right…

Q: write the domain in interval notation.

A: (a) Given wx=x+1+4 Domain: The domain of the function is defined as a set of all possible values of…

Q: 11 – |x| X 2 a. f(0.5) = b. f(-5.5) = c. f(-3.5) = d. f(6) =

A:

Q: x2 + 3 x < -4 3x 5 -4 < x < –1 Find the following where M(x) = -1 < x < 2 5x +1 4 < x <7 2x + 8 7 <…

A:

Q: Find the value of x in each of the following diagrams: (a) X-N(60, 25) P(X < x) = 0.9972 0.9972 60…

A:

Q: 2. A- (x|x2-2) 8- (x|x< 6) (a) A nc (b) A nB

A: Sets

Q: For what values of a and b is

A:

Q: Question: Evaluate the following. Va + 4+h – Væ +4 lim h -4Va + 4 Va + 4 +4 1 2Va +4

A:

Q: Write the domain of the relation y = arccsc x. x≤-1 or x≥1 -1≤x≤1 0≤x≤1

A:

Q: 7. Draw graph: When 2x+6 -3<=x<=0 f(x) = 6 O<x<2 2x-6 2<=x<=5

A: Consider the function:

Q: Refer to Example 3 to find a value of 8 > 0 such that 1 then 1 If 0 < |x – 3| < 8, < 10-4 3 - - -

A: Consider : 1x-13&lt;10-4 if x-3&lt;δ. Find δ. Since,…

Q: Suppose that f has a domain of [5, 13] and a range of [6, 16]. f(x) + 2? (a) What are the domain and…

A: The function  has a domain  and a range .The aim is to find the domain and range of (i)  and (ii) .

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.