A hot air balloon is at 400 feet above sea level and begins rising at a rate of 105 feet per minute. You are going to be asked a question about time and elevations, so graph this relationship: the balloon elevation (call it y) as a function of time (call it x).  Your graph will show the differing elevation of the balloon as time passes. A second balloon at 1500 feet above sea level begins descending at a rate of 163 feet per minute.  Graph this relationship; the balloon elevation as a function of time.   1)At some point, the two balloons will pass each other.  When they do, their elevation will be_________________________ 2)How many minutes before they pass?

Q: Time and Temperature Data for Water Data Point Time (min) Temp (°C) Data Point Time (min) Temp (°C)…

A: 1) The data in the table below to fill in the graph

Q: Determine a function using x and y that models the relationship above.   Part B What is the…

A: here use basic of regression line

Q: Does the graph of this equation widen or narrow from the parent function ? y=5x(x-5)+3

A: The given function is y = 5x(x-5)+3.This can be re written as y = 5x2-25x + 3.It is clearly seen…

Q: Quinn retumed home one suummer's day to firdit sweatinducingly hott He tumed the air conditioner on…

A: Given  The temperature of the room's decreased by 0.5° celsius each minutes . and Quinn  woke up 60…

Q: In a laboratory setting, the heart rate of a patient was carefully monitored. Below is the graph of…

A: Solution:At t=0, heart rate is 110, Maximum is 160 and minimum is 60.This sinusoidal function will…

Q: Sketch the graph of y = ∣x − 1∣.

A:

Q: In the given equation , sketch the graph of the function.   y = ex -1

A: The given function is y=ex-1. Sketch the graph of the above function as shown below.

Q: graph the following equation and determine if it is a linear function: y=-1/2x+3

A:

Q: Y =3COSGO 56 %3D

A: Given: r=3cos6θ To sketch: The polar curve.

Q: write the equation for the graph and be sure to find an extra point in the graph to calculate “a”

A:

Q: (1) slope: y-intèrcept:. Equation: ..

A: Given line passes through the points (2,0) and (0,4)

Q: b -zX == 2. Graph usingtables of value

A:

Q: Sketch the graph y= -0.5x+1

A: The given function is: y=-0.5x+1

Q: How do you graph the following function? y=3cot(4x+pi)-1

A:

Q: Scientists are studying the temperature on a distant planet. They find that the surface temperature…

A: T= temperature (In Celsius)H=Height above the surface (In kilometers)Surface temperature at one…

Q: Convert the trend equation, Yc forward the origin by half a month, given that the trend origin is…

A:

Q: Sketch a graph showing the line for the equation Y=2X-1. On the same graph (in a different color),…

A: Given: The line equation is Y: 2X – 1 and Y: - X + 8.

Q: A weatherman records the amount of rain that fell in Portland, Oregon each day for a year. What type…

A: A Time Series graph is used to show how rainfall changes during the year.

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.