1,008,000 C = + 6.3Q

Q: (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of…

A:

Q: the rate of change in thr profit (p) with respect to the number of units sold (x) is 0.0006x^2 +10.…

A: We can use the given equation to solve for profit

Q: The value of a computer t years after purchase is v(t) = 4000 e - 0.25t. At what rate is the…

A: To find the rate of the computer's falling after 4 years when value of computer t years after…

Q: product determines that P percent of the potential market is aware of the product t weeks after the…

A: Given query is to read the graph and solve the questions based on it.

Q: The rate at which a substance grows is given by: R' (x) = 195e0.5% where x is the time in days. What…

A: R'(x)=195e^(0.5x)  x= days

Q: The function represents the rate of flow of money in dollars per year. Assume a 10-year period at 8%…

A: (a) To find: The present value: Given: The function is ft=25t. the time is 10 year and 8% compounded…

Q: The rate of change of the ozone, an invisible gas that is an irritant and impairs breathing, present…

A: Consider the given function.The function R (t) shows the relation between the rate of change of…

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A:

Q: The rate (in mg carbon/m°/h) at which photosynthesis takes place for a species of phytoplankton is…

A:

Q: Compute for i,n, the effective rate of interest for the nth period, given that (a) interest accrues…

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Q: The value of a certain car after t years is modeled by the expression 15,000(0.7. WI initial cost,…

A:

Q: The number of Americans aged 45 to 54 (which stood at 25 million at the beginning of 1990) grew at…

A: Here, the rate of the number of Americans aged 45 to 54 is:…

Q: The atmospheric temperature T (in degrees Celsius) at altitude h meters above a certain point on…

A: Explanation: Given that,  T=15-0.0065hh≤12,000m     Concept Used: Average Rate of Change-…

Q: 5. Find the instantaneous rate of change of the value function V in terms of t and N(t).

A: To find the instantaneous rate of change of the value function V in terms of N we will find dVdN…

Q: To determine drug dosages, doctors estimate a person’s body surface area (BSA) (in meters squared)…

A: Solution:Given     BSA=hm60To calculate  the rate of change of BSA with respect to mass for a person…

Q: The blood alcohol concentration, C, of an adult male after consumption of one alcoholic drink can be…

A: →Rate of change of function f(x) is given by df(x)dx→Average rate of change of f(x) in the interval…

Q: Media consultants for the new local magazine IT-Solutions! have projected that the number of sub-…

A:

Q: Find the average rate of change for the function over the given interval. y= 9x +4x+3 between x= -6…

A:

Q: An epidemic is spreading at the rate of 11e0.2t new cases per day, where t is the number of days…

A:

Q: Water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours after…

A: Given, water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours…

Q: Find the instantaneous rate of change for the function at the given value. g(t) = 4 – t² at t = - 6

A: Consider the function fx=x2+4x We have to find the instantaneous rate of change for the function…

Q: A colony of flies has an initial population of 4466. After t days, the population is given by…

A: We need to find the rate of change of the flies population.

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Solution )  f(t) = 0.8t3 - 0.3t0.4 + 27  Differentiate with respect to t  f'(t) = 0.8 × 3 t3-1  -…

Q: The growth in the population of a group of rabbits is given by P(t)= 800e0.08t, where P is the…

A: use derivative for finding the instantaneous rate

Q: A vehicle purchased for $22400 depreciates at a constant rate of 6%. Determine the approximate…

A: Formula:      F=P(1+r)t Where, F= future value             P= present value             r= rate of…

Q: An epidemic is spreading at the rate of 17e0.2t new cases per day, where t is the number of days…

A:

Q: The value of a family’s home is given by f(x)=130000(1.06)x, where x is the number of years after…

A: Given, fx=1300001.06x

Q: 4 Based on the graph above, estimate (to one decimal place) the average rate of change from z = 1 to…

A: Given that: Graph of function:

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A:

Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units, (40 < x< 60) where x is the…

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Q: A pool of water with surface area of 0.6 hectares has a uniform dept of 3M a pipe drain the pool at…

A:

Q: The altitude h [ft] attained by an aircraft climbing from sea level at its maximum rate of climb…

A: The complete solutions are given below

Q: Find the average rate of change of f(x) = - 2x2 + 4:(a) From 0 to 2(b) From 1 to 3(c) From 1 to 4(d)…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: An epidemic is spreading at the rate of 19e0.2t new cases per day, where t is the number of days…

A:

Q: The amount of funds available for a particular endowment fund (in thousands of dollars) after t…

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Q: The brain mass of a fetus can be estimated using the total mass of the fetus by the function b=…

A: Solve by differentiating with respect to t

Q: An airplane takes off from an airport at sea level and its altitude (in feet) at time t (in seconds)…

A: The given equation is: h=3400lnt+1   ...1   As we know that; The Power Law: ddxxn=nxn-1 The Chain…

Q: A vehicle purchased for $29800 depreciates at a constant rate of 8%. Determine the approximate value…

A: cost price of vehicle=$29800 Constant rate of depreciates =8% per year We have to find the…

Q: Based on the graph above, estimate to one decimal place the average rate of change from x 1 to 3

A:

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as values of…

A:

Q: A vehicle purchased for $27500 depreciates at a constant rate of 7%. Determine the approximate value…

A: Compound interest :A=P1+rnntwhere A=future ValueP=Principal ( starting ) Valuer=annual interest…

Q: See picture attached, thank you!

A:

Q: In an experiment, the population of C of a certain type of a bacteria int hours, is given by... C(t)…

A:

Q: A patient receives an injection of 1.6 milligrams of a drug, and the amount remaining in the…

A: We have  A(t) = 1.6e-0.05t

Q: A jet is approaching a radar station with a speed of 1,256 mph and a stable altitude of 9504ft. When…

A:

Q: The annual inventory cost for a manufacturer is given by C= 1,008,000/Q + 6.5Q where Q is the order…

A: The annual inventory for a manufacturer is given by C=1008000Q+6.5Q

Q: The length of a rectangle is increasing at a rate of 9 in./s, while its width is decreasing at 2…

A:

Q: The gross domestic product (GDP) of a certain country was N(t) = t² + 5t + 106 billion dollars t…

A: Finding rate of change and percentage rate of change of GDP with respect to time using the given…

Q: 4. The temperature, T, in "C, of a side of beef t hours after it is put in the freezer is given by…

A: Given

Exponential Growth Model

The relation that represents an exponential function is: