A population of bacteria is growing according to the equation P(t)=1350e^0.11t Estimate when the population will exceed 2418. t=?

Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. What is the…

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Q: Pilar owns a parcel of land whose value tyears from now will be V (t) = 8000e" dollars. If the…

A: Given: Pilar owns a parcel of land whose value t years from now will be V(t) = 8000et dollars. The…

Q: Find the First Derivative: y=log10(5x+3/5x-4)

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Q: The surface area of kelp near Monterrey Bay is 40,000 square acres, but after four years a red sea…

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Q: Consider a pond with 10000m3 of clean water that has water feeding into it from Stream A and water…

A: Given- Consider a pond with 10000m3 of clean water that has water feeding into it from Stream A and…

Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into…

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Q: A woman 1.5 m tall walks directly away from a street light which is 6 m above the ground at a rate…

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Q: The population of community is known to increase at a rate proportional to the number of people…

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Q: A quantity with an initial value of 200 grows continuously at a rate of 55% per day. What is the…

A: Let the quantity Pn grown continuously at a rate of 55% per day. Initial quantity is P0=200.

Q: Suppose income from an investment starts (at time 0) at $6000 a year and increases linearly and…

A: While calculating compound interest, the addition of interest to the principal sum of a loan or a…

Q: Suppose that a mothball loses volume by evaporation at a rate propotional to its instataneous area.…

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Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) -1 1

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Q: tan s) Differentiate f(x) = 5* log3 %3D csc 2x

A: Consider the function fx=5xlog3tan-1xcsc2x Here, the objective is to differentiate the function.

Q: A man of height  1.9  meters walks away from a 5-meter lamppost at a speed of  2.1  m/s. Find the…

A: Let distance of the man from the pole=x   Let the length of the shadow =y…

Q: 8. Create the equation of any function where the instantaneous rate of change when x = 1 does not…

A: Create the equation of any function where the instantaneous rate of change when x = 1 does not…

Q: A trough whose cross section is an equilateral triangle is 6 m long and 2 m wide across the top. If…

A: Solve by diagram and using formulas of equilateral triangle

Q: The current circulation of some magazine is 3000 copies per week. The managing editor of this…

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Q: At what rate is the production of fish changing with respect to time 5 months from now?

A: Given Data: Production of pounds of fish per month is: QK=109K13 ......1 Total investment is:…

Q: A storage battery discharge at a rate which is proportional to the charge. If the charge is reduced…

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Q: A certain radioactive material is known to decay at a rate proportional to the present amount. If…

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Q: Determine the growth constant of a population that is growing at a rate proportional to its size,…

A: Consider the population size is given as P(t). The expression for the exponential growth rate is…

Q: A quantity with an initial value of 200 grows continuously at a rate of 4% per second. What is the…

A: To find: The value of quantity after 1.55  minutes. Given: The initial value of quantity is 200 and…

Q: A radioactive substance decays at a rate proportional to the amount present. If the initial mass of…

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Q: A radioactive element is known to decay at a rate proportional to its present mass. Initially, there…

A: Given: A radioactive element is known to decay at a rate proportional to its present mass.…

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

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Q: The area of a rectangle remains 30 cm2. One side of the rectangle is expanding at a rate of 1 cm/s.…

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Q: A 25,000 machiene depreciates linearly to 0 over a ten year period.What is the value of the machiene…

A: The Initial value of machine is 25000 and its depreciates linearly to 0 over a ten year period. We…

Q: A population of yeast cells can double in 6 hours. Assume an initial population of 4,000 cells. What…

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6oz of this…

A: The amount of mold at time 0 is m0. The amount of mold present after t hours is m. The rate of…

Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

A: we have to determine time before the region is again habitable

Q: A bacteria culture is known to grow at a rate proportional to the amount present. If the population…

A: This is a problem of the application of differential equations.

Q: In a study of a marine tubeworm, scientists developed a model for the time T (measured in years)…

A: Consider the provided question, The time required for the tube worm to reach a length L is given by,…

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…

A: a. let the hypotenuse of the triangle is h. so using the trigonometric ratio formula,…

Q: After a long study, three scientists conclude that a eucalyptus tree will grow at a rate of…

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Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. what is the…

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Q: A bacteria grows proportional to the square root of its current population. Starting at an initial…

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Q: A breeder reactor converts relatively stable Uranium 238 into the isotope Plutonium 239. After 15…

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

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Q: A light is hung 7m above straight horizontal path. If a man 2meters tall is walking toward a light…

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Q: Initially 100 millions of radioactive substance was present. After 6 hours the mass has decreased by…

A: Given query is to find the amount of radioactive substance after 24 hours.

Q: Suppose that the amount of water pumped from a water well decreases at a continuous rate of 10% per…

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Q: find the equation of the tangent line to the graph of the logarithmic function at the point (1,0)…

A: Given problem:- find the equation of the tangent line to the graph of the logarithmic function at…

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

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Q: A radioactive material decays continuously at a rate proportional to the amount present. After 2…

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Q: It is projected that x years from now the population of a certain city will be changing at the rate…

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Q: The half-life of plutonium 239 is 24,200 years. Assume that the decay rate is proportional to the…

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Q: Mohamad Salah poured orange juices into a cylindrical red tank whose height = of its radius. If the…

A: We have to find rate of change of Radius.

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.