The size of a bacteria population found in some food grows by P (t) = 8000t 80 + t2 where t is measured in weeks. Determine when the bacteria will reach its maximum size.

Q: Find the time required for an object to cool from 300°F to 250°F by evaluating, where t is time in…

A: To find the required t, we need to simplify the given integral

Q: A ball is thrown straight up from the top of a building 152 ft tall with an initial velocity of 56…

A: It is given that, s(t)=152+56t-16t2 Because ball is thrown from a building with height h=152 ft, so…

Q: A population of bacteria is growing according to the equation P(t) 300e0.18t. Estimate when the %3D…

A:

Q: a weight is bouncing up and down on a spring with height h(feet) after t seconds, given by h(t)=…

A:

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: A traffic engineer monitors the rate at which cars enter a freeway during rush hour. From the data…

A:

Q: If an object is projected upward from ground level with an initial velocity of 96 ft per sec, then…

A: The function for height of the object is given as :S(t) = -16t2+96twe have to find:(i) Time taken by…

Q: The height, h metres, of an object thrown vertically upwards at time t seconds after its release is…

A: Given function represents height of the object at time t.

Q: The height (feet) of an object moving vertically is given by s=-16t^2+288t+216, Where t is in…

A: Here height of the object is given, we have to find the velocity of the object at t=2 We know that…

Q: The rate r at which people get sick during an epidemic of the flu can be approximated by r =…

A:

Q: The oxygen consumption of a turkey embryo increases from the time the egg is laid through the time…

A:

Q: A population of bacteria is growing according to the equation P(t) = 1800e.16t. Estimate when the…

A: A population of bacteria growing according to the equation Pt=1800e0.16t.

Q: 2. A rock thrown upward has a height given by s(1) = 49t-9.81 where s is in meters and / is in…

A: Use derivative to solve

Q: If a cannonball is shot directly upward with avelocity of 256 ft per second, its height above the…

A: Given: st=256t-16t2 We know that velocityvt and accelerationat is respectively first and second…

Q: A moving object has a constant acceleration of -9.8 meters per square second. If its initial…

A:

Q: If a balloon is thrown directly upward with a velocity of 96ft/s, its height (in feet) after t…

A: Height of balloon after t seconds is…

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

A:

Q: Find the net change in velocity over [1, 4] of an object with a(t) =8t - t2 mls2 .

A: Given, Acceleration is, a(t)=8t-t2 ,ms2

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: A population of bacteria is growing according to the equation P(t)=1350e^0.11t Estimate when the…

A: Substitute P(t)=2418 into the equation Pt=1350e0.11t and solve for t:…

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: The concentration of pollutant bacteria 'C' in a lake decreases as per the model: C = 70e¬1.5t +…

A: Given, the concentration of pollutant bacteria'C' in a lake decreases as per the model:…

Q: A traffic engineer monitors the rate at which cars enter a freeway during rush hour. From the data…

A:

Q: at time t20, the velocity of a body moving along the s-axis is v=t - 7t+ 6. When is the body's…

A: Explanation and solutions is given below....

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: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 3t, where 0<t < 4 (in…

A:

Q: nen does the particle reach a velocity of 137 m/s if its position function is given by:…

A:

Q: The effectiveness of a medicine is given by E(t) = 2t In t³, where t is time in hours after…

A: Given,  The effectiveness of the medicine Et = 2t lnt3  Where t is time in hours   We have to find…

Q: If an object is projected upward from ground level with an initial velocity of 160 ft per​ sec, then…

A:

Q: · Suppose that t hours after the injection of x milligrams of adrenalin the response is R units…

A:

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

A:

Q: * The velocity of a particle moving on a straight line is given by v(t) = t²e¯† meters per second at…

A:

Q: An oral medication is absorbed into the bloodstream at the rate of 7e−0.04t milligrams per minute,…

A: An oral medication is absorbed into the bloodstream at the rate of 7e-0.04t.

Q: If a cannonball is shot directly upward with a velocity of 144 ft per second, its height above the…

A: This question is about application of derivative

Q: Suppose the rate of sales of a new product is given by f(t) = 200 – 90e-t, %3D where t is the number…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 4. The position of an object at time t is given by x = 34f - 8t + 2, where x is in feet and t is in…

A:

Q: A projectile is shot straight up with an initial velocity of 512 ft per second. Its height above the…

A: Given:s(t)=512 t-16t2

Q: Researchers in Alaska have developed models that can be used to estimate the mass of a polar bear.…

A: The equation relating mass and body dimensions is given as: M(x,y)=0.000199x1.2823y1.4874   Weight…

Q: A ball is thrown into the air and its position is given by h(t) = – 1.6t + 57t + 1 where h is the…

A: We have to find max. Value of the function by differentiating it with respect to time.

Q: If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464…

A: s(t) = 48 + 64t - 16t2Hence, s’(t) = 64 – 32ts”(t) = - 32When s is maximum, s’(t) = 0; hence 64 –…

Q: A population of bacteria is growing according to the equation P(t) = 1800e0.15t. Estimate when the…

A: Please see the answer in step 2

Q: After an alcoholic beverage is consumed, the concentration of alcohol in the bloodstream (blood…

A: Consider the given function  Ct=0.135 t·e-2.802 t

Q: Consider the acceleration function of an object on a projectile motion is a (t) = -32. If v (0) = 28…

A:

Q: stimate the population will grow to P(t) (408)4, where t represents the number of %3D rding to this…

A:

Q: The monthly total revenue from a certain product sales of x unit is given as: R(x) =12x – 0.01x²…

A:

Q: After an alcoholic beverage is consumed, the concentration of alcohol in the bloodstream (blood…

A: Here, the given function is: C(t)=0.135te-2.802t...(1) which models the average BAC, measured in…

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

A: