2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 1...

Question 1

Question

2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) 2. Continued (c) Find the approximate change in length of the fish between times t = 5 and t = 10. Pretend the rate of change

2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 10. (Suggestion: First solve the differential equation using anti-differentiation.) Does the answer to this question depend on the initial condition L(0)? (b) Determine L(t) if L(0)=2
2. Continued (c) Find the approximate change in length of the fish between times t = 5 and t = 10. Pretend the rate of change is constant on intervals of size Δt-1. Use the rate of change at the right side of each interval as your approximation of the constant rate of change for the interval. 4 3 2

math calculus

Add a comment Improve this question Transcribed image text

Answer

Answer #1

Let L(t) rate = 5.0e-0.2t (a) Determine the exact change in length of the fish between times t - 5 and t - 10. the length (in

(c) Find the approximate change in length of the fish between times t -5 and t-10 Pretend the rate of change is constant on i

Add a comment

Answer

Similar Homework Help Questions

3. A plant produces starch dependig on the intensity of heat it receives during the day. Assume the rate of starch production of the plant is 2 grams per hour dt +t where time t is measured in hours...

3. A plant produces starch dependig on the intensity of heat it receives during the day. Assume the rate of starch production of the plant is 2 grams per hour dt +t where time t is measured in hours and S(t) is the amou noon each day (time t = o is noon, t-1 is 1pm and so on). of starch produced t hours after a. Estimate the tot al change in S(t) between 1pm and 3pm using the right-hand...

Question 2

3. A plant produces starch dependig on the intensity of heat it receives during the day. Assume the rate of starch production of the plant is 2 grams per hour dt +t where time t is measured in hours...

3. A plant produces starch dependig on the intensity of heat it receives during the day. Assume the rate of starch production of the plant is 2 grams per hour dt +t where time t is measured in hours and S(t) is the amou noon each day (time t = o is noon, t-1 is 1pm and so on). of starch produced t hours after a. Estimate the tot al change in S(t) between 1pm and 3pm using the right-hand...

2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 1...

Homework Answers

Add Answer to:
2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 1...

Post as a guest

Earn Coins

3. A plant produces starch dependig on the intensity of heat it receives during the day. Assume the rate of starch production of the plant is 2 grams per hour dt +t where time t is measured in hours...

2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 1...

Homework Answers

Add Answer to: 2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 1...

Post as a guest

Earn Coins

3. A plant produces starch dependig on the intensity of heat it receives during the day. Assume the rate of starch production of the plant is 2 grams per hour dt +t where time t is measured in hours...

Add Answer to:
2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 1...