The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function 1201 P = I2 + I + 1 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum? I = thousand foot-candles

Q: If an archer shoots an arrow straight upward with an initial velocity of 160ft/sec from a height of…

A: If the arrow reaches the ground then h(t)=0…

Q: The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is…

A: To find the maximum value, P''(I)<0. If this condition satisfies, then P will be maximum at I.

Q: The growth of a certain bacteria can be modelled by the function, f(x)=250e^ .0614t , where t is the…

A: The explanation of the solution as follows:

Q: The function f(x) = 4ᴫx3/3 describes the volume, f(x), of a sphere of radius x inches. If the radius…

A: f(x) = 4πx33 Volume of sphere , f(x) = 4πx33 where,  x is the radius of sphere in inches.…

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A:

Q: The number of bacteria in a culture is given by the function ?(?) = 350?^0.8?, where t is measured…

A:

Q: The height of a ball thrown across a field, f(x), in feet, can be modeled by f(x) = -0.005x² + x +…

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: itially contained 8000 L of pure water. The resulting concentration of the solution in the tank can…

A: In the given question, concept of limit on maximum concentration is applied and asymptote is clearly…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given query is to find the maximum concentration of antibiotics in bloodstream.

Q: The rate of growth of a fish population was modeled by the equation G(t) = 60000e−0.5t/(1 +…

A: The answer is found in step-2.

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given volume function fx=x3 to find instantaneous rate of change of the volume x=4 in

Q: Under certain conditions, the wind speed S, in miles per hour, of a tornado at a distance d feet…

A: Given wind speedSa,d,v=av0.51 d2

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 780…

A: Given :  Cost function :  C ( x ) = 780 + 35 x - 0.063x2  Find the rate at which average cost is…

Q: To create a saline solution, salt water with a concentration of 40 g/L is added at a rate of 500…

A: Here initial volume of pure water is given 8000l by considering that concentration should be…

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

A:

Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

A:

Q: The us population can be modeled by the function y=165.6x^1.345 where y is in thousands and x is the…

A: The US population is modeled by the function, y=165.6x1.345 where y is in thousands and x is the…

Q: The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is…

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

Q: A company's revenue from selling z units of an item is given as R = 1700z – 3z?. If sales are…

A:

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given that, After an antibiotic tablet is taken, the concentration of the antibiotic in the…

Q: Given the function g(x) = -a² +5x +14, determine the average rate of change of the function over the…

A:

Q: Kaju Inc. has determined that Godzilla "droppings" are the worlds next energy source!!! (its all…

A: Given the demand model : p=30x The cost - model is : C=2.1x-142 where x is in tons. We need to find…

Q: The gates of an amusement park are closely monitored to determine whether the number of people in…

A: We will find what (e-l) (4) means in this situation as following.

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

A:

Q: 801 %3D 12 + I + 9

A: Given  P = 80II2 + I + 9 where I is the light intensity (measured in thousands of foot-candles) and…

Q: pressure

A:

Q: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

A: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given : C(t) = 8(e-0.4t - e-0.6t)   To find the maximum concentration of the antibiotic during the…

Q: The concentration of an antihista-mine in the bloodstream of a healthy adult is modeled by C = 12.5…

A: 6 hour period means from t=0 to t=6That is from start of the medication  to 6 hours after medication…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given query is to find the maximum concentration of antibiotics in the blood during the first 12…

Q: If a resistor of R ohms is connected across a battery of E volts with internal resistance r ohms,…

A:

Q: If a baseball is projected upward from ground level with an initial velocity of 160 feet per​…

A:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 740…

A: Divide the given function C(x) by the number of units produced ,that is x to obtain the average…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

A:

Q: Consider that when medicine is administered, reaction (measured in change of blood pressure or…

A:

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

A: Given function is gt=15.621.041t. Where t =10 represent year 2010. (a) Obtain the amount of dry…

Q: The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is…

A:

Q: A culture contains 2000 bacteria initially and doubles every 60 minutes. Assuming that the rate of…

A: To determine the counting function P(t) explicitly, under the given conditions

Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

A: Rt=10t5t2+4

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A:

Q: g(t)=15.18(1.047)t​,

A: gt=15.181.047t The year 2010 corresponds to t=10.

Q: The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is…

A: For I = 1., P is maximum.

Q: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

A: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by

Q: A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well thatís…

A: weight of bucket=3lb weight of water at starting=37lb deepness of the well =60 feet bucket lifts at…

Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

A:

Q: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09 + 1.1ln(x),…

A: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09+1.1lnx, where…

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

A:

Q: A stone is thrown vertically into the air at an initial velocity of 71 ft/s. On a different planet,…

A: