if an organism has a length L (t) at time t and grows according to the...
if an organism has a length L (t) at time t and grows according to the equation L '= 0.05L (100-L). What will be your maximum length that reaches?
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if an organism has a length L (t) at time t and grows according to the...
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...
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...
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as...
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 + -sin 0 = 0 dt2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0) ~ 0, and with that substitution, the differential equation becomes linear A. Determine the equation of motion of a...
(10 points) Suppose a pendulum with length L (meters) has angle (radians) from the vertical. It...
(10 points) Suppose a pendulum with length L (meters) has angle (radians) from the vertical. It can be shown that e as a function of time satisfies the differential equation: de 8 + -sin 0 = 0 dt2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of we can use the approximation sin(0) - 0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum...
show all steps please (1 point) Suppose a pendulum with length L (meters) has angle 0...
show all steps please
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 +sin0 0 dt2 where g 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0)~0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum with length...
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts...
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts where t is measured in years. (a) Find the population at time <= 0 and at time <= 2. (Round your answers to the nearest whole number.) PCO) P(2) - (b) When, to the nearest year, will the population reach 16,000? yr
In an RL circuit, the time constant for an inductor is defined as t( torque) =R/L,...
In an RL circuit, the time constant for an inductor is defined
as t( torque) =R/L, where R is the resisitance and L is the
inductance.
The transient time of an inductor is defined as five times the
time constant . It represents the time it takes the inductor to
store maximum energy in the magnetic field of the inductor. When
the switich is closed, the current is increasing according to the
following equation?
What is the energy dissipated as...
1. A simple pendulum has a length L= 55.0cm. What is its theorietical period? 2. You...
1. A simple pendulum has a length L= 55.0cm. What is its theorietical period? 2. You time 20 oscillaions of the pendulum in the above question, the total time is 29.50s. What is the experimental period? 3. According to equation 1: T=2pi (sqrt)L/9 , what type of curve would you expect if you were to plot period vs. Lemnth? Provide a rough sketch.
A tennis ball is served and travels the length of court L in time T. a)...
A tennis ball is served and travels the length of court L in time T. a) Write an equation for the balls average horizontal speed. b) Calculate the average speed of a ball travelling 24.0m across the court in 0.60s
Problem 1.11 Suppose an initial investment of $100 grows according to the accumulated amount function A(t)...
Problem 1.11 Suppose an initial investment of $100 grows according to the accumulated amount function A(t) 100(1 0.05t) (t20). (a) Find the effective rate of interest earned during the 5th year is (b) Find the force of interest δ(t). (c) Find the "average rateequivalent annual effective rate) of interest earned during the first five years.
Problem 1.11 Suppose an initial investment of $100 grows according to the accumulated amount function A(t)...
Problem 1.11 Suppose an initial investment of $100 grows according to the accumulated amount function A(t) 100(1 0.05t) (t20). (a) Find the effective rate of interest earned during the 5th year is (b) Find the force of interest δ(t). (c) Find the "average rateequivalent annual effective rate) of interest earned during the first five years.
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...
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 + -sin 0 = 0 dt2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0) ~ 0, and with that substitution, the differential equation becomes linear A. Determine the equation of motion of a...
(10 points) Suppose a pendulum with length L (meters) has angle (radians) from the vertical. It can be shown that e as a function of time satisfies the differential equation: de 8 + -sin 0 = 0 dt2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of we can use the approximation sin(0) - 0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum...
show all steps please
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 +sin0 0 dt2 where g 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0)~0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum with length...
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts where t is measured in years. (a) Find the population at time <= 0 and at time <= 2. (Round your answers to the nearest whole number.) PCO) P(2) - (b) When, to the nearest year, will the population reach 16,000? yr
In an RL circuit, the time constant for an inductor is defined
as t( torque) =R/L, where R is the resisitance and L is the
inductance.
The transient time of an inductor is defined as five times the
time constant . It represents the time it takes the inductor to
store maximum energy in the magnetic field of the inductor. When
the switich is closed, the current is increasing according to the
following equation?
What is the energy dissipated as...
Problem 1.11 Suppose an initial investment of $100 grows according to the accumulated amount function A(t) 100(1 0.05t) (t20). (a) Find the effective rate of interest earned during the 5th year is (b) Find the force of interest δ(t). (c) Find the "average rateequivalent annual effective rate) of interest earned during the first five years.
Problem 1.11 Suppose an initial investment of $100 grows according to the accumulated amount function A(t) 100(1 0.05t) (t20). (a) Find the effective rate of interest earned during the 5th year is (b) Find the force of interest δ(t). (c) Find the "average rateequivalent annual effective rate) of interest earned during the first five years.
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