The rate, in calories per minute, at which a person using an exercise machine burns calories is modeled by the function f (t) = -t³ + ¿t² + 1. Find the number of calories burned from 0 to 4 seconds. calories 3

Q: The growth of a certain bacteria can be modelled by the function, f(x)=250e^ .06t4t , where t is the…

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Q: 2 The path of the fireworks shot off in Milwaukee on 4" of July can be modeled by the function: h(t)…

A: The modeled function of the height of the firework is ht=-16t2+100t+3

Q: A parachutist is falling with speed 176 ft/s when his parachute opens. If the Wv? lb, where W is the…

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Q: The value, V, of a computer can be modeled by the function y) = 1, 300(61)', where t is the number…

A: Given that V represents the value of a computer and t represents the number of years since the…

Q: The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can…

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Q: If the position function of a moving object is 5(t) t-3t +2 meters from zero in t seconds, then

A: Consider the position of a particle is given by the function x(t). The average velocity of the…

Q: What is the range for the function h(x) = (x – 3)² + 2? -

A: Given : hx = x-32+2

Q: A parachutist is falling at speed of 176 ft/s when his parachute opens. If the air resistance is…

A: Solution is in step 2

Q: Consider the function y = 1 2r2

A: To find: The horizontal and vertical asymptotes of fx. Given: The function is fx=2xx2-1. Concept…

Q: Write the equation for the function graphed below. f (x) = %3D AT

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Q: In the Andes Mountains in Peru, the number (N) of species of bats is the function of the elevation…

A: Given N=f(h) is the number of species of bats at an elevation h feet above the sea level

Q: Graph the function : f(x) 4* I|

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Q: Translate the task “solve C(x) = 3500 for x” into a task involving the graph of the function.

A: Let C(x) represents the cost of producing x units of a certain product. So for the task, to solve…

Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A: we have been given the function for the number of foreign earnings kept overseas  f(x)=0.232(1.18)x…

Q: Enter the equation of the function, g(x), whose graph is the result of f(x) = √√x shifted right 6…

A: Please see the below picture for detailed solution.

Q: In the newspaper delivery department, the number of subscribers is x, the number of delivery…

A: (a) to find the number of supervisors needed s=p15as a function of x, the number of subscribers, we…

Q: Write the equation of the function where f(x) = |x| has been reflected through the r-axis, shrunk…

A: The given function is f(x)=|x|f(x) is reflected through the x-axis.So the new function is:…

Q: The cost, in dollars, of water consumed by a factory is given by the function C(w) = 15 +0.1vw,…

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Q: Starting with the graph of f(x) = 4", write the formula for the function that results from

A: Given data:     The given function is: f(x)=4x.     (a) To shift the curve three units upward, add 3…

Q: The rate at which photosynthesis takes place for a species of phytoplankton is modeled by the 841…

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Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: The total daily cost (in dollars) of manufacturing scented candles is given by the function C(b) =…

A: Given, Total daily cost C(b) = 250 + 3b, where b is the number of candles manufactured. To Find…

Q: The height of a right triangle is 44 feet more than three times the length of its base. Express the…

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Q: The function C(x)=5x+900 represents the cost to produce x, number of items. Find the average cost…

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Q: Express the total revenue R as a function of the price p per item when q = -5p + 1200

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Q: Given the function f (x) (a + 5) + 8, What is the equation of the function written in the form y =…

A: Here a second digree quadratic function f(x) is given in the problem. We have to find the function…

Q: Differentiate the function.

A: Given R(a)=3a+12

Q: A store charges 1.50 for a 20-oz bottle of sport drink. Which equation best represents the total…

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Q: Is y=2x+1 a function or not?

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Q: The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can…

A: (a) The given function is gt=15.621.041t. Here the year 2013 corresponds to x = 13. Substitute 13…

Q: A manufacturer of microwave ovens believes that the revenue  R, in dollars, that the company…

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Q: Not sure how to do this.

A: From the given graph, it is observed that graph takes value 4 as the value of x takes 3.

Q: Write the equation of the parent function f(x) = x3 after it has been translated five units left,…

A: Given function We need to determine the function after f(x) has been translated 5 units left,…

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

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Q: For a long-distance phone call, the phone company charges $⁢0.70 for the first 8 minutes or less,…

A: The company charges a constant charge for phone calls if we are using phone calls for first 8…

Q: A phone is accidentally dropped from a helicopter at a height of 3,600 ft. If the equation for…

A:

Q: Let f be the linear function  f(x) = −6x + 7. a) wha is The rate of change of f ? b)and what is The…

A: f(x) = −6x + 7 We need a) what is The rate of change of f(x)? b)what is The graph of f and slope and…

Q: The height of a ball being thrown off a roof can be modelled by the function: h (t) =-52 +15t +20,…

A: Hope you understand,  The first derivative of position is velocity. And ground means being at h =0 ,…

Q: A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks A 12-inch tall…

Q: A new manufacturer of automobiles in Canada has determined that the q demanded of their brand new…

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Q: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives…

A: The revenue function is given as follows. RP=125P-0.25P2 Find the critical points as follows.…

Q: The function  models the daily profit, f(x)=-x2 +46x-360, in hundreds of dollars, for a company that…

A: f(x) = -x 2 + 46 x - 360 f(x) represents the daily profit in hundred so f(x) = 88

Q: the height of a ball Doreen tossed into the air can be modeled by the function h(x) =…

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Q: The length of a rectangle is 3 inches more than the width. Which of the following represents the…

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Q: find the total cost C(x)C(x) in dollars of renting a van for a day and driving xx miles?

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Q: The sale of sweaters in a town changes with the temperature. If a statistical model predicts that…

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Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x)…

A: Here, the given revenue function is: Rx=75x-x210

Q: The revenue from the sale of a product is given by the function R= 441x-x°. Selling how many units…

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Q: tổ approximate the change in profit corresponding to an increase in sales (or production) of one…

A: Given that: P=-0.1x3+400x-60, x=50and dx=∆x=1

Q: - k (r) = e" + pɛ

A: Solution ) k ( r ) = er + re Differentiation with respect to r d k(r)/dr = d er/dr + d re/dr d…