= - 16t + 32t + 100 determines the height of the rock above A rock is thrown upward from a bridge into a river below. The function f(t) the surface of the water (in feet) in terms of the number of seconds t since the rock was thrown. a. What is the bridge's height above the water? feet Preview b. How many seconds after being thrown does the rock hit the water? seconds Preview c. How many seconds after being thrown does the rock reach itsaximum height above the water? seconds Preview d. What is the rock's maximum height above the water? feet Preview

Q: 1. The height of a thrown rock, in feet above the ground, can be modeled by the function h(t) = -2t2…

A: The height of a thrown rock, in feet above the ground, can be modeled by the function…

Q: Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5…

A: Lt=5001-e-0.0061t a). Put t=30 in Lt=5001-e-0.0061t, we get…

Q: mber of viewers, in thousands, of a certain news channel is modeled by the function t +364, wheret…

A: Given function: f(t) = 5t2 – 75t + 364

Q: Jessica purchased a prepald phone card for $15.25. Calls cost 8 cents a minute using this card. The…

A:

Q: April shoots an arrow upward into the air at a speed of 64 feet per second from a platform that is…

A:

Q: - What is the domain of the function? -2 <r<00 0<x<oo CLEAR ALL

A:

Q: The function C(w) = 2w models the cost, C, in dollars for a company %3| to order w water bottles for…

A: Given : Cw = 2w

Q: A rock is thrown from a cliff into a ravine. The function h(t) = -16t² + 192t + 2560 describes the…

A:

Q: Annie is renting an apartment and sees in the rental agreement that each year they will raise the…

A:

Q: Kala purchased a prepaid phone card for $40.25. Calls cost 7 cents a minute using this card, The…

A: The credit C ( in dollars) left on the card after it is used for x minutes of calls is given by the…

Q: 7x + 325 The average cost c (in dollars) to manufacture æ t-shirts is given by the function c:…

A:

Q: A boat rental company uses the function A(n) =80n – 100 to represent the revenue from rentals. In…

A:

Q: Ryan plants a 7-inch tomato plant in his garden. The plant grows by about 14% per week for several…

A: Height of plant at the time of planting is 7 inch.h The plant grows 14% per week. Height of plant…

Q: Aden jumped off a cliff into the ocean to show his friends that he is the bravest one of the bunch.…

A: The height as a function of time is given as: ht=-16t2+16t+480, where t is time in seconds and h is…

Q: A young girl standing on a chff is throwing stones up into the air so that they land in the ocean…

A: The solution is :

Q: The height of an object, h, in feet when dropped from a height of 1250 feet is given by the function…

A: The given problem is to find the height of the object after 8.5 seconds being dropped from the given…

Q: The function T(x)=65x is the number of words, T(x) that a secretary can type in x minutes. How many…

A: Consider the given function as Tx=65x Where Tx that a secretary can type in x minutes.

Q: Mia jumps off a cliff into the ocean in Acapulco while on vacation.  Her height, h, above the water…

A:

Q: a. At a depth ofx feet under water, the pressure in pounds per square inch is given by the function…

A: At a depth of x feet under water, the pressure in pounds per square inch is given by the function…

Q: the value of a car is given by the function v(t)=30,000(0.95)t. t is number of years. How long will…

A:

Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars)…

A: Consider the given equation for the monthly benefit by renting x apartments:

Q: Jamie drove from Miami to Atlanta. The function D , gives the total distance Jamie has driven in…

A: D= total distance travelled since t hours after she left D'(2)=73

Q: The cost of a taxi ride is represented by the function c (m) = 2m +4, where m is the number of miles…

A: Givenc(m) = 2m+4 where m= number of mile

Q: the maximum height, in feet, that the object will reach

A: Follow the procedure given below.

Q: 3x + 850 The average cost c (in dollars) to manufacture æ t-shirts is given by the function c =…

A:

Q: An object is fired from a cannon. Its height after t seconds is given by the function h(t) : 16t +…

A: )

Q: The functionD(h) = 5e-0.4h can be used to find the number of milligrams D of a certain drug that is…

A: We have, the function given as Dh=5e-0.4h        ⋯⋯1 Where, D is the number of milligrams of a…

Q: Kelli has already taken 20 pictures with her new cell phone. She plans on taking 15 pictures each…

A:

Q: A ball is dropped from a bridge that is 144 feet high. The height of the ball after t seconds is…

A: The height of the ball after t seconds is given by the function: h(t) = -16 t^2 + 144. We have to…

Q: The productivity. P, of a worker in a factory can be modeled by the function P(x) = - 2 + 24x ,…

A:

Q: Suppose that a movie is being filmed in some city. An action shot requires an object to be thrown…

A: Given The given function for the height with respect to time of an object is ht=-16t2+64t+720.

Q: The function C(d)=80+50d represent s the cost to rent a car where C represents the cost and D…

A:

Q: Jamie drove from Miami to Atlanta. The function D, gives the total distance Jamie has driven in…

A: D= total distance travelled since t hours after she left D'(2)=73 Derivative of distance function…

Q: Christopher had his car towed when it broke down. It cost him $2.50 per mile to have it towed plus a…

A:

Q: The sales of a new phone after an initial release can be found by the function s = 16V3t + 25 where…

A:

Q: Tucker purchased $4,600 in new equipment for a catering business. He estimates that the value of the…

A:

Q: The function f(x) = 2500(0.985)* represents the number of members of a website, where x is the…

A: To find the number of members on the website in January 2013

Q: 5x + 410 The average cost c (in dollars) to manufacture x T-shirts is given by the function c =…

A:

Q: A diver jumps off a diving board. The diver's height above the water, in meters, is represented by…

A: Thus, the correct answer is There are no points of inflection  Height of the diver above the water…

Q: A savings account had an initial deposit of $50 with $20 deposited each month after it was opened.…

A:

Q: The function d(x)=28x represents the distance a car travels using x gallons of gas. Find reasonable…

A: Consider the following function: dx=28x The function dx represents the distance a car travels using…

Q: tion of the time in seconds, t, that the cannonball has been in the air, and can be representted by…

A: The height in feet, h, of the cannonball above the water, is a function of the time in seconds, t,…

Q: Paula kicks a ball off the ground into the air. The height, in feet, of the ball t seconds after it…

A: The height of the ball at time t seconds in feet after the ball is kicked is modeled by the…

Q: Abraham throws a ball from a point 40 m above the ground. The height of the ball from the ground…

A: Given that      Abraham throws a ball from a point 40m above the ground. The height of the ball from…

Q: The number of plants in a terrarium is given by the function                 P(c) = -1.2c2 + 4c + 12…

A:

Q: The cost in dollars of producing x toy cars is C(x) = 2.2x + 1. The revenue for selling x toy cars…

A: NOTE: Refresh your page if you can't see any equations. . the revenue function is  . the cost…

Q: The atmospheric pressure p on a balloon or plane decreases with increasing height. This pressure,…

A: Given :

Q: Megan hit a softball with a bat. The height of the ball is given by the function h(t)…

A:

Q: r airline purchases a particular type of plane for $75 million. The company estimates that the…

A: a) What type of function is this? S=f(x)=72-0.0006x a) It is a straight line y=mx+c where m=-0.0006…

Q: A football is kicked up into the air. The height of the football can be modeled as a function of…

A: Given: ht=-4t2+18t For finding time when football hits the ground, we equate given expression with…

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.