The number of lumens (time rate of flow of light) L from a fluorescent lamp can be approximated by the model L=-0.294x² + 97.744x – 664.875, 20

Q: In economic theory, we let x represent the number of items (called demand) a supplier will produce…

A:

Q: Which function has x-intercepts at −2π, −π, 0, π, 2π?

A: Given-  The function has its x- intercepts at -2pi, -pi, 0 , pi, 2pi

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Explanation: Given that,  Rate of snowstorm first two hours = 1 inches/hours Rate of snowstorm next…

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

A:

Q: How to solve functions on a graph?

A: 1st draw a graph.

Q: above the ground of the concrete block after s seconds?

A: we have to write a function representing the given statement to determine height h in feet after s…

Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

A:

Q: Try to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Given graph :

Q: The number of Instagram monthly active users (in millions) between 2013 and 2015 can be modeled…

A: The number of instagram monthly active users between 2013 and 2015 be the…

Q: A helicopter is hovering at an altitude of 1,450 feet above sea level.  It descends at a constant…

A:

Q: 9. y = 3x2 – 2vx at (1, -9)

A: To find slope.

Q: Suppose and investment's value, V, can be tracked with the function v(t) = 932(1.005)120), www. ,…

A: Option D is correct answer. Detailed solution is given below.

Q: An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows…

A: Since you have posted multiple subparts we solved the first three subparts for you To get the…

Q: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

A: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

Q: Arman traveled a distance of 6x2-13x-5 kilometers at a rate of 3x+1 kph.Determine a function that…

A: Let's find.

Q: Sketch the graph of the function by first making a table of values. fx) = -x + 4, -4 sxs 4 f(x) = -x…

A: Given: F(x)= -x+4

Q: The second edition of a textbook was 799 pages long. By the time it got to the sixth edition the…

A: Suppose, L represents page length and n represents the edition number. The points are written as (n,…

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: How many x-intercepts can the graph of a function have? How many y-intercepts can the graph of a…

A: A graph of function can have infinitely many x-intercepts. For example: Sine function and cosine…

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: Life expectancy at age 65:  By using the Social Security Administration data for selected year from…

A:

Q: The number of ATV-related deaths for people of all ages from 1999 to 2009 can be modeled by the…

A: Given the number of ATV-related deaths for people of all ages from 19999 to 2009 can be modeled by…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

A:

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing. show…

A: Topic = Functions

Q: anita is on a competetive rowing team . after 2 minutes the team rows at a constant speed of 4…

A: By making differential equation between distance and time

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

A:

Q: The number of concurrent users of a social networking site has increased dramatically since 2002. By…

A: The given function is Pt=2.4491.487t. t is the number of years after 2002. that is, t=0. Now, t is…

Q: what point is on the graph of a function f with equation fK): 1og,x, regardless of the value of b?…

A: fx=logbx   We have to find the point on the graph of the function f,…

Q: A rectangular piece of sheet metal with a perimeter of 50 cm is rolled into a cylinder with two open…

A: a. Given that, a rectangular piece of sheet metal with perimeter 50 cm is rolled into a cylinder…

Q: The perimeter of a rectangle is 200 meters. Express the area as a function of the length, ?.

A:

Q: A landowner wishes to use 6 miles of fencing to enclose an isosceles triangular region of as large…

A: The isosceles triangular region must have fencing of 6 miles and we must have largest possible area.…

Q: Based on past experiences, a homeowner estimates that appliances lose 35% of their resale value each…

A:

Q: The cost to fence in a backyard is $1000 for an area less than or equal to 100 m2. An area greater…

A: Cost function = Average cost / Area

Q: The revenue from the sale of x manual food processors is given by R(x) = 26x-0.2x dollars. The total…

A:

Q: Find the range of the function y = -4(x – 3)2 + 4. O (-∞, ∞) O (-∞, –4] O [3, ∞) O (-∞, 4) O [-4, ∞)…

A: Range of function :  The set of all values of the dependent variable for which a function is defined…

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: You have 1200 feet of fencing to enclose a rectangular region and subdivide it into three smaller…

A: Let  x and y be length and breadth of rectangular region respectively. Given data, Perimeter of…

Q: A parking lot charges $2 per hour for the first 4 hours, them $3 per hour after that. Which…

A: Suppose that the total number of hours is x then given that parking lot charges $2 per hour for the…

Q: Supposed that from 2020 to 2060, the number of females in the U.S. under the age of 18, in millions…

A: Given Data: The number of females in the US under 18 is: N=0.140x+36.4 The slope of the graph of the…

Q: A right triangle has one leg twice as long as the other. Find a function that models its perimeter P…

A: To find the function that models its perimeter P in terms of the length x of the shorter leg.

Q: a taxi ride costs 40pesos for the first 500 meters and each additional 300 meters (or a fraction…

A:

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Given that: Rate of fall of snow for the first 2 hours = 1 in/hrRate of fall of snow for the next 6…

Q: 10 10 -5 10

A:

Q: A company estimated that the daily revenue( in dollars) from the sale of x cookies is given by…

A: Marginal revenue is the rate of change of revenue at a given volume.

Q: Graph the function -2x^2-4 on [0,3] and find it's average sun over the interval    label answers…

A:

Q: The revenue from the sale of a product is given by the function R = 5000x-0.1x³ dollars. Use…

A:

Q: Solve no 73

A:

Q: A rectangular plot requires 2000 ft of fencing to enclose it. If one of its dimension is x (in feet)…

A:

Q: A smart phone manufacturer is able to produce 500 amount of phone a day. If the profit for daily…

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.