The electric power usage in kilowatts (kW) of a residence during a particular day was modeled by p(t) = -0.013t³ + 0.46t2 – 1.8t + 12.6 where t is the number of hours after midnight, 0

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Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t,  where t is the…

A: Given: The United States population (in million) is predicted to be P(t) = 317 e0.01t, where t is…

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Q: Between 2006 and 2016, the nurmber of applications for patents, N, grew by about 3.6% per year. That…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Let the height in feet of an object be f (t) = –t² + 15t – 7. What is the instantaneous rate of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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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: Given,          When a factory operates from 6AM tp 6PM, its total fuel consumption varies according…

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

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A: To find- relative rate of growth of this bacterium population

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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

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Q: The number of bacteria in a culture is given by the function n(t) = 935e0.3t %3D where t is measured…

A: the given equation is  compare this equation with  so here we have so the continuous growth rate…

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = –16t2 + 900.…

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Q: The number of bacteria in a culture is given by the function n(t)=930e0.15tn(t)=930e0.15t where tt…

A: Comparing these two equations we get: P=930, r=0.15 So, continuous growth rate = 0.15= 15% And…

Q: Assume that the temperature of a person during an illness is given by: T(t) = 8t/t^2+7 , where T is…

A: The answer is given in step 2.

Q: The sales in thousands of new type of product are given by the formula S(t) = 170 – 80e-0.9t where t…

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Q: Water is being pumped into a tank at the rate of r(t)= 30(1-e^(-0.16t)) gallons per minute, where t…

A: Water is being pumped into a tank at the rate of

Q: How do we do this question? Thank you

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Q: Estimate the instantaneous rate of change given the following: f(x) =5 at the point (-3, — 2/1) x+5…

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Q: The number N of bacteria in a culture after t days is modeled by 3 N = 500 1 (1? + 2)2 Find the rate…

A: N=5001-3t2+22

Q: The United States population (in millions) is predicted to be  P(t) = 317e0.01t,  where t is the…

A: Given: Pt=317e0.01t we know that for finding instantaneous rate of change of the population in the…

Q: from the edge of a cliff into described by the function ht rate of change in the height - 4.9t² +…

A: Formula average height change=(h(b)-h(a))/(b-a) Where a=4second b=5second

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

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Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

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Q: on the moon, the acceleration of a free falling object is a(t) = -1.6 meters per second per second.…

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Q: 7. If the rate of growth of a bacteria population is modeled by r(t) = 8e2t-1 thousand bacteria per…

A: Introduction: When a function is given, we determine the average value by integrating the function.…

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = –16t2 + 900.…

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Q: a drug concentration curve is given by C(t)= 20te^-0.2t, which C in mg/ml and t in minutes. What is…

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Q: consider the epidemic function n=f(t)=300t^3-20t^2 where n equals to number of people and 0<=t<=60,…

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Q: The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t…

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Q: if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer…

A: The rate of growth of the population of deer in a forest is modeled by R(t)= 2000e(0.23t) deer per…

Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.