An object is projected upward from ground level with an initial velocity of 500 feet per second. In this exercise, the goal is to analyze the motion of the object during its upward flight. If air resistance is neglected, find the velocity of the object as a function of time. Use a graphing utility to graph this function ?

Q: A poster is 10 in. longer than it is wide. Find a function that models its area, A, in terms of its…

A: Let the length be l inch and the width be w inch.The length of the poster is 10 inches longer than…

Q: Give an example of real-life application of function.

A: Function defination: Generally  a function has a dependent variable and a independent  variable. By…

Q: A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr., stops 1…

A: Given : A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr.,…

Q: If a baseball is projected upward from ground level with an initial velocity of 96 feet per second,…

A:

Q: One yardstick for measuring how steadily—if slowly— athletic performance has improved is the mile…

A: Given, In 1954, Roger Bannister of Britain cracked the 4-minute mark, setting the record for running…

Q: Is the type of function a constant function, identity function, reciprocal function, or a linear…

A: Solve the following

Q: While exploring a volcano, Zane heard some rumbling, so he decided to climb up out of there as…

A: Given: Zene's elevation relative to the edge of the inside of the volcano (in meters) as s function…

Q: What is the range of this function?

A: We have to find the range of the function from the given graph.

Q: ■ Find a formula for the described function and state its domain Express the area of an equilateral…

A:

Q: What is the range of the cosecant function?

A: Range of cosecant function. Cosecant function is denoted by cosec x. cosec x=1sin x

Q: Describe the behavior of a function when the magnitude of the independent variable x becomes…

A: End behaviour of a function: The end behaviour of a function 'f' describes the behaviour of the…

Q: Which function below matches this graph?

A: WE need to analyze the given graph. We know that sec(x) graph is a U shaded graph . sec(x) graph…

Q: when both the dependent and independent values of a function increase, it is said to be ?

A:

Q: Is a graph that consists of a single point the graph of a function? Can you write the equation of…

A: Yes, such functions exist and can be written in equations too.   Let us consider a circle with…

Q: When functions are defined by more than one equation,they are called________ functions.

A: When functions are defined by more than one equation,they are called________ functions.

Q: The regular adult admission price to an evening performance at a Cinema is Php 140.00, with the…

A: Let us assume x be age and y be the admission price. Given that, (a) The admission price for…

Q: What is an even function? An odd function?

A: What is an even function?

Q: A home owner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the…

A: We need to draw the rough graph of height of the grass as a function of time starting from Sunday…

Q: The equation that represents the horizontal distance from the rider to the vertical axis as a…

A: Consider a sinusoidal function of the form, y=AcosBx±C±D Here,  A represents the amplitude of the…

Q: Which type of function is shown in the table below?

A: NOTE: Refresh your page if you can't see any equations. . from the table write the coordinates

Q: In 2009 the U.S. Postal Service charged $1.17 postage for first-class mail retail flats (such as an…

A: Given, Service charged is $1.17 postage for the class first weighting up to 1 ounce. And S0.17 each…

Q: What is the slope of the identity function?

A: The identity function is a special type of linear function

Q: State whether the function is increasing, decreasing, or neither. Temperature at a point on the…

A: To determine whether the function is increasing or decreasing or neither Temperature at a point on…

Q: Is there a function whose graph doesn’t have a tangent at some point? Explain by giving an example…

A: We have to show whether their exists a function whose graph doesn’t have a tangent at some point.

Q: The polvnomial parent function given has been transformed. Write the equation of the new image.

A:

Q: Sketch a graph of the function by first making a table of values.

A: Given that, f(x)=1+x The domain of function f(x)=1+x is the set of all positive numbers because the…

Q: When functions are defined by more than one equation,they are called ___________________ functions.

A: When functions are defined by more than one equation, they are called ___________________ functions.

Q: during typhoo Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of…

A: For first three hours, the rain fell at a rate of 25 mm per hour.  So for time 1≤t≤3 the rate was 25…

Q: A homeowner mows the lawn every Wednesday afternoon.Sketch a rough graph of the height of the grass…

A: Given: A homeowner mows the lawn every Wednesday afternoon. To sketch: The graph of the height of…

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure…

A: Width of aluminium sheet is 20 inches The edges are turned from both sides by x inches. The cross…

Q: Can two level curves of a function intersect? Explain.

A: From the definition, two level curves of a function can't intersect. One level curve is given as…

Q: Sketch a rough graph of the number of hours of daylight asa function of the time of year.

A: We have to sketch a rough graph of the number of hours of daylight as a function of the time of…

Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a…

A: Given h(t)= -4.9t^2+24t+8

Q: A man drives from Detroit to Chicago, say 300 mi., at an average speed of  60 mi. per hr., stops 1…

A: A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr., stops 1…

Q: Since the beginning of the year, the price of a bottle of soda at a local discount supermarket has…

A: Let P0 be the price of a bottle of soda at a local discount supermarket at the beginning of the…

Q: Part of a model used by a state government indicates that revenue R varies inversely with the…

A:

Q: What is an even function?

A: we have to tell what is an even function.

Q: A function wherein all terms are of the same degree in terms of x and y is known as ________

A:

Q: The graph of which function starts at (0,0)?

A: The graph of the function, y = √x starts at (0,0)

Q: Sketch a graph of the function by first making a table of values.

A: C(t)=1t2

Q: I need help finding the rate of change of a function

A: To explain the concept and technique to calculate the rate of change of a given function

Q: In the last year of the data, a car enthusiast spends $15,100 on a car of the given model that is in…

A: Given: Let us consider the given data, Enthusiast spends=$15100 Owner spends=$8300 Total…

Q: The graph of position as a function of time

A: Consider in coordinate plane, x- axis represents time and y axis represents position. Consider the…

Q: Draw an accurate graph of the function (a

A: Given: The function f(x)=3-56x To find: The graph of the  given function.

Q: What must be done to a function’s equation so that its graph is shifted horizontally to the right?

A: If c is positive,y=fx+c shifts the graph of f to the left c units and y=fx-c shifts the graph of f…

Q: A vertical line that the graph of a function approaches, but does not touch, is said to be a…

A: A vertical line that the graph of a function approaches, but does not touch, is said to be a…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.