A 1999 study by Starkey and Scarnecchia developed the following model for the average weight (in kilograms) at age t (in years) of channel catfish in the Lower Yellowstone River (Figure 4): 3.4026 W(t) = (3.46293 – 3.32173e-0.03456r Find the rate at which average weight is changing at age t = 10. W (kg) 8· 4+ 3 2 1 5 10 15 20 t (year) FIGURE 4 Average weight of channel catfish at age t.

Q: Let B = 5 T as in Example 3. Estimate the instantaneous rate of change of B with respect to T when…

A:

Q: A poplulation of 500 bacteria is introduced into a culture and grows in number according to the…

A: The growth of the population of 500 bacteria is given by the equation

Q: QUESTION 2 Use differentials to estimate v8.99 + (8.99)² correct to two decimal places.

A:

Q: When polluted water begins to flow into an unpolluted pond, the concentration of pollutant, c, in…

A:

Q: The projected population of a certain ethnic group(in millions) can be approximated by p(t) =…

A:

Q: A https://www.webassign.net/web/Student/Assignment-Responses/submit?dep 270589378tags…

A:

Q: Given that the height of the cylinder is 6 cm and is growing at a rate of 5 cm/s, while the radius…

A:

Q: What is the rate of change of f (t) at t = 7.5?

A: The rate of change is calculated using differentiation. The derivative of f(t) at t=7.5 gives the…

Q: Suppose the population of a colony of ants grows at the rate P'(t) = 1 +   5 /(√ t + 1)   If…

A: Given, P'(t) = 1 + 5t+1 when t = 120 hours  then P(t) = 250  Thenm  when t = 0 hours then P(t) = ?

Q: Given the following function, determine the maximum rate of change of it at the point P(0,0, 1/2).…

A:

Q: A recent report by the U.S. Cen- sus Bureau predicts that the U.S. Hispanic population will increase…

A:

Q: Consider and solve the initial value problem of a new form of life discovered on a distant planet.…

A:

Q: The value of the instantaneous velocity at t = 1 is

A: Consider the position function To calculate the instantaneous velocity

Q: West Z dt x North JOAN dx dt ANDRES = 25km/hr dy dt y 18km/hr

A: Given: Speed of Andres  = 18 km/hr Speed of Joan  = 25 km/hr

Q: A triangle has a base that is decreasing at a rate of 11 cm/s with the height being held constant.…

A: Solved below

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: ) Suppose that the acceleration function of a particle moving along a coordinate line is a(t) = t –…

A: a)Givena(t) = t - 3Now average acceleration is given by ∫aba(t)dtb-aHere a=0 and…

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

A:

Q: Suppose that the population of a certain collection of rare Brazilian ants is given byP(t) = (t +…

A: To find the rate of change of population P'(t), we need to differentiate the function…

Q: If q'(t) is the growth rate of a population of a fish population in fish per month, what does…

A:

Q: If ω'(t) is the rate of growth of a child in pounds per year,what does  ∫510 ω'(t)  dt   represent?

A:

Q: 3. If the temperature in a room is given by T(x, y, z) = xyz, at what rate will the temperature felt…

A:

Q: Show that for an object falling according to Galileo’s formula, the average velocity over any time…

A:

Q: d. In which direction is the instantaneous rate of change the maximum from (1,0)? What is the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the present value P of a continuous income flow of c(t) dollars per year using where t1 is the…

A: Given, c(t)=100,000+4000, r=5%, t1=10 p=∫0t1c(t)e-rtdt Now plug the values of t1  and r…

Q: If the instantaneous growth rate of COVID19 is modeled by (limHh->0)(200t+100h). At t=5 seconds…

A:

Q: Estimate the instantaneous rate of change of P(t) = 2t² – 6 at the point t = - 2 |

A:

Q: A forester finds that a certain type of forest tree grows in such a way that its height h(t) after t…

A:

Q: Suppose a quantity described by the function y(t) = y0ekt, where t is measured in years, has a…

A: yt=y0ekt The quantity has a doubling time of 20 years. That is, yt=2y0 when t=20.

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find in terms…

A:

Q: 8. The following table gives the velocity of a car in meters per second. time (seconds) 05 10 15 20…

A: Given the table which shows the velocity of car in meter per second

Q: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

A: Here we have a population of fruit flies that changes at a rate of g(t)=-4e0.04t…

Q: On the basis of data obtained from a preliminary report by a geological survey team, it is estimated…

A: Given r(t)=3.735t^(3.65)e^(-1.351t) thousand barrels per year

Q: at the rate of r (t) = 3t liters per minute, where t is the time in Which of the following defines a…

A:

Q: An efficiency study of the morning shift at a certain factory indicates that an average worker who…

A: Given, Qt=-t3+6t2+24t a. Compute the worker's rate of production at 11:00 A.M. Here t=3 ( Difference…

Q: Find the maximum rate of change of f(s,t)=te^(st) at the point (0,−5).

A: We have to solve

Q: In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a…

A:

Q: With U.S. Census Bureau data (actual and projected) for selected years from 1960 to 2050, the rate…

A: ∫xndx = xn+1n+1 + C, where 'C' is the constant of integration.

Q: Because of heavy rainfall, the water level in a reservoir is rising at a rate of g(t) feet per hour,…

A: Given problem :- Because of heavy rainfall, the water level in a reservoir is rising at a rate of…

Q: What does r'(t)dt represent if r'(t) is the rate of growth of a dog in pounds for the t year?

A:

Q: (b) If n'(t) is the growth rate of a bee population in bees per week, what does n'(t)dt represent?

A: Given,n'(t)=growth rate of bee populationt=time in weeks

Q: Suppose h(t) = t² + 11t + 7. Find the instantaneous rate of change of h(t) with respect to t at t =…

A:

Q: Assume the rate of investment is given by the function I (t) = ln t. Compute the total capital…

A: We solve this problem by using the capital formation i. e. Total capital accumulation=∫t,t2I(t)dt…

Q: Estimate the instantaneous rate of change ot P(t) = 3t?+4 at the point t= -2,

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,…

Q: 17. Use Figure 12 to estimate dT/dh at h = 30 and 70, where T is atmospheric temperature (in degrees…

A:

Q: - If a particle's position at a time t is given by f (t) = t³ + 1, i. Find its average velocity over…

A: f(t) = t3 + 1 i. Average velocity over the interval [-1,1] is given as

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A: Given

Q: 3. If f (t) = -t² + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A: Given : The function ,ft=-t2+5t+3 describes  the distance travelled by the ball in meters. To find:…