What is the characteristic growth rate of a population that is currently growing at a rate of 0.5/yr, with a current population of 45,000 and a carrying capacity of 60,000? A.) 2/yr B.) 0.5/yr C.) 5%/yr 0.75/yr

Q: 4. A 105 kg male needs to work at a MET level of 8 to reach his target heart rate. If he exercises…

A:

Q: 1. A 25 feet long ladder is leaning against a wall and sliding toward the floor. If the foot of the…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

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Q: All edges of a cube are expanding at a rate of 2 centimeters per second. (a) How fast is the surface…

A: We have given change in edge with respect to time is 2cm/sec.  We have to find the changes in…

Q: 3. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

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Q: 2. A balloon in the shape of a sphere is being inflated at the rate of 100 cm/sec. a. At what rate…

A: a)  Given that the balloon is in the shape of sphere and it is being inflated at the rate of…

Q: 3) A certain radioactive material loses mass at a rate proportional to the mass present. If the…

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Q: 4. Determine the growth constant, k, of a population that is growing at a rate proportional to its…

A: let p=population at time t so we can write  to remove the proportionality sign we need to multiply…

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: We have to find the rate of change of surface area.

Q: A ball is thrown vertically upward with an initial velocity 15 m/s from an          initial height…

A: Use the kinematics equation to solve the problem and at the highest position the final velocity will…

Q: All edges of a cube are expanding at a rate of 5 centimeters per second. (a) How fast is the volume…

A: Rate of expansion of edges of a cube= 5 cm/sec

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the volume…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A:

Q: The population of Japan in 1960 was 94 million, the population in 1970 was 105 million. Set up and…

A: Given that the initial population of Japan in 1960 is 94million and the population of Japan in 1970…

Q: If population y grows at a rate proportional to the current population, then y could be

A: This make separable differential equation

Q: Find out the lycopene concentration in tomatoes after 4 months of storage at 15°C.

A: 4 months = 16 weeks to find lycopene concentration in tomatoes we need to find the regression line y…

Q: Determine the growth constant of a population that is growing at a rate proportional to its size,…

A: Consider the population size is given as P(t). The expression for the exponential growth rate is…

Q: Fenuron (molar mass 164 g/mol) is added to the soil under the following conditions: mass of soil 159…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: All edges of a cube are expanding at a rate of 8 centimeters per second.a To determine how fast is…

Q: The sides of a triangle measuring 40 m, 32 m, and 16 m increase at the rates of 2 m/s, 5 m/s and 3…

A: Area of triangle: If x, y and z are sides of triangle then area A of triangle is given by A = s(s -…

Q: 1. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: All edges of a cube are expanding at a rate of 2 centimeters per second. (a) How fast is the surface…

A: we know that surface area of cube is , S = 6 •  a 2  Here a is side of cube .

Q: All edges of a cube are expanding at a rate of 6 centimeters per second (a) How fast is the surface…

A: Rate of change of surface area is given by ds/dt = a . dA/dt Where a = edge length dA/dt =rate of…

Q: All edges of a cube are expanding at a rate of 7 centimeters per second. (a) How fast is the surface…

A:

Q: A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours.…

A:

Q: 18. A light is on the top of a 4-meter tall pole and a 1.5-meter tall person is walking away from…

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Q: 15. A ball drops from a height of 120 dm. If each time it strikes the ground it bounces 3/4 of the…

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Q: A spherical snowball is melting in such a way that its surface area decreases at the rate of 1…

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Q: 3. A square is expanding in such a way that its diagonal is increasing at the rate of 2 in/s. (a) At…

A: Diagonal of Square = √2 * Side Perimeter of Square = 4* Side Area of Square = (Side)^ 2

Q: rectangular prism with dimensions 6 m × 4 m × 8 m (l×w ×h) is shrinking. a)  Assume that the length…

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Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…

A: Solve the given problem

Q: All edges of a cube are expanding at a rate of 9 centimeters per second. How fast is the volume…

A: Explanation of the answer is as follows

Q: A particular specie of animal has a carrying capacity of K and a growth rate of r. From an  initial…

A:

Q: 1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

A:

Q: 2. A man 1.8 meter tall walks away from a lamp post 4 meter high at a speed of 1.5 m/s. How fast is…

A: We'll answer one question since the exact one hasn't specified. Please re-submit the question you…

Q: Exercise 2 The volume of a cube is increasing at the rate of 1200cm3/min at the instant its edges…

A: We have to find at what instant edges changing.

Q: How long will it take a population of bacteria to reach a certain size, given that we know its…

A: How long will it take a population of bacteria to reach a certain size, given that we know its…

Q: 18 Show that the volume V of a regular tetrahedron, all of whose side lengths are s, is V = s°V2…

A: Given that the volume of a tetrahedron is: 1442cm3 So, V=112s32 So, 112s32=1442⇒s3=123⇒s=12

Q: A 14-foot ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate…

A:

Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…

A: From the given data: The rate of expanding of a cube is 4cm/sec

Q: 5. A cone-shaped ice cream is melting at the rate of 2cm/s in a manner that maintains its original…

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Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: The decay rate is proportional to the amount present. So, dNdt=-λN⇒dNN=-λdt⇒∫dNN=-λ∫dt+C⇒ln…

Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…

A:

Q: A rectangular prism with dimensions 6 m × 4 m × 8 m (l×w ×h) is shrinking. (a)  Assume that the…

A:

Q: Which of the following formulas describes a moving average (MA) process?

A: Moving average is one of the time series data analysis method.

Q: A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 MeV (million or…

A: Let's find time to taken sample to degrade to 4.5kg.

Q: 1. A tank is shaped like an upside-down pyramid, with a base of 4 meters and a height of 12 meters.…

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Q: A particular specie of animal has a carrying capacity of K and a growth rate of r. From an initial…

A: please comment if you need clarification. if you find my answer useful put thumbs up. Thank you.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.