Discuss the relationship between differentiability and continuity in a short paragraph.

Q: A researcher studies the factors that determine the number of children that couples decide to have.…

A: Discrete variables are obtained by means of counting the variable while the continues variable is…

Q: Suppose that a friend of yours does not understand the idea of increasing and decreasing…

A: Increasing Functions A function is "increasing" when the y-value increases as the x-value increases,…

Q: Graph the functions in excercise

A: Graph the functions      y=x-2

Q: How to Construct X–- and R-Charts

A: Suppose you are a member of a bowling team. You bowl three games a night once a week in a bowling…

Q: Cite 1 example of real-life application of midline theorem.

A: Midline theorem:  In the triangle, the line segment that joins the midpoints of two sides of a…

Q: The line graph to the right shows the total points scored by both teams in a championship game from…

A: Given information: The data represents the line graph of the total points scored by both teams in a…

Q: If two variables are related so that increasing values of one variable are associated with…

A: Correlation: Correlation analysis is used to measure the strength of the association between…

Q: A digital system has been developed to measure temperatures in the range -10˚C to 115˚C. If the…

A: Since digital system can measure temperatures in the range -10˚C to 115˚C. the accuracy of the…

Q: The line graph below displays the Unadjusted Federal Minimum Wage and Adjusted Federal Minimum Wage…

A: Given The graph is as follows:

Q: A recent survey showed that 42% of recent college graduates named flexible hours as their most…

A: Given: 42% of recent college graduates named flexible hours as their most desired employment…

Q: an equation of the line below. 7- 5- 4. 2 3 4 56 7 8 -8 -7 -6 -5 -4 -3 -2 ....

A: To Determine: writing an equation of a line given the y-intercept and another point . Given: we have…

Q: Graph the functions in excercise

A: To graph the function y=1x-2, multiple points will be required. So, to obtain the points substitute…

Q: Assume straight-line appreciation. Suppose an antique clock is expected to be worth $325 after 3…

A:

Q: What is continuity?

A: Follow next step

Q: In your own words, explain the Intermediate Value Theorem

A: we have to define the intermediate value theorem.

Q: Graph the functions in excercise

A: The given function is  y=1x-2 The x- intercept is  y=10-2  =-12 The function is not defined when…

Q: If the demand for a pair of shoes is given by 2p+5q=300

A: Demand for a pair of shoes is given:                          2p + 5q = 300

Q: Define graphic utility

A: Definition of graphic utility:         Graphing utilities such as graphing calculator and computers…

Q: Graph the functions in excercise

A: Our Aim is to graph the function given below:-y=1-x2/3  -(i)   x 1-x2/3 -2 -0.58740105 -1 0…

Q: State whether the variable is discrete or continuous. The number of goals scored in a soccer game

A: We have  Discrete variable : The variable which takes countable many values is called Discrete…

Q: framework, the pos- at variables can leac interest. True or F

A: The basic assumption of linear model is: Corr(Independent variable, Error)=0.   In the case, when…

Q: Define vertical traces.

A: When a line meets VP (or if necessary on the extended portion of VP), the point at which the line…

Q: continuous map со

A:

Q: Graph the functions in excercise

A:

Q: Table A and Table B represent linear relationships.   Based on the information in the tables,…

A: For table A xy312416520624 Since the for each difference between two consecutive number is 4.  Thus…

Q: what is the slope intercept form and in standard form of the following   (1, -2),and(3,3) (-2,0)…

A:

Q: : State the three-part Definition of Continuity.

A:

Q: Give the equation of the line shown in the graph below. 4- -2 -65 4 -2 -1 1234 $6 -2 -3- 5 -6- f(2)…

A: Equation of line passing through the points (x0,y0)  and (x1,y1) is given by y-y0=y1-y0x1-x0x-x0see…

Q: the variable that is used to predict changes in another variable is known as the

A: The variable that researchers are trying to explain or predict is called the response variable. It…

Q: Explain the differences between continuity and uniform continuity with the help of graph When x^2-9

A: Given equation is x2-9 So the graph of the equation is Continuity: A function is continuous at point…

Q: A .....................is used to help us to see the type of relation,if any,that may exist between…

A: A .....................is used to help us to see the type of relation,if any,that may exist between…

Q: In your own words, describe the Extreme Value Theorem

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: differentiability and continuity

A: CONTINUITY For a function y=fx is to be continuous in an interval, it must be defined at all points…

Q: Define interval notation.

A:

Q: 5- -10 --5 -5-

A: According to given graph of function parent function isy=-xgraph shift left 2 units y=-x+2graph…

Q: Define the term Domain?

A: To Determine: Define the term domain? Given: domain Explanation: domain of the function:  The domain…

Q: Describe the relationship between continuity and differentiability.

A:

Q: Describe the (1) domain, (2) range, and (3) continuity of y = -(x+ 3)2 +5.

A:

Q: Give an example of a discontinuity function?

A: If f(x) is not continuous at x=a , then f(x) is said to be discontinuous at x=a.

Q: How confident can we be that this new phone lasts longer than the Nokia 3310?

A: GivenClaim, new Nokia phone has average hours on standby is more than 31 hours. The sample size n=80…

Q: Discuss the continuity of the function

A: In the question we have to find the continuity of the function.

Q: This value represents how much a change in one variable can be predicted from its relationship witha…

A: The slope defines the change of dependent variable for one unit change in independent variable.

Q: According to Fidelity Investment Vision Magazine, the average weekly allowance of children varies…

A: The average allowance=a Grade=g x= the average weekly allowance of a 4th-grade student. ag=k .....1…

Q: Find an equation of the line that satisfies the given conditions. Through (1,7) and (4,7)

A: Find an equation of the line that satisfies the given conditions. Through (1,7) and (4,7)…

Q: is decreasing.

A: The function isf(x)=4x3-81x2+486x-811The function is decreasing means fx+1<fx

Q: Estimate the number of mistakes made by an employee with four tasks to be completed simultaneously.

A: Let X denote the number of tasks performed simultaneously. And y represents number of errors made.…

Q: The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of…

A: