1. Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium decompose to 96 mg. What is the half life of radium?

Q: POPULATION The population of rabbits in an area is modeled by the growth equation P(t) = 8e ^…

A: given P(t) = 8e (0.26t) where is in thousands and is in years.

Q: A population grows according to the logistic model 35 N = 1 +0.2e-1.3t where t is measured in years…

A: Given that a population grows according to the logistic model                        N=351+0.2e-1.3t…

Q: What is the first derivative of s(x) = log5 (7 xsin x 7x²+8x+2 ?

A:

Q: Law of 70 Bankers use the law of 70, which says that if an ac- count increases at a fixed rate of…

A: Simple interest is calculated by multiplying principle amount with rate of interest and time divided…

Q: Sales decay of a product is given by S = 70,000e^-0.1x, where S is the weekly sales (in dollars) and…

A: Given that sales decay of a product is given by S = 70,000e^-0.1x, where S is the weekly sales (in…

Q: using calculus find and Solve the differential equation Suppose a population grows according to a…

A:

Q: Exercise 2 (Rewriting Before Differentiating). (2a) Use the properties of logarithms to reurite the…

A:

Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

Q: EXAM Find the de (a) f(x) = SOLUT l bo noionul ow (b) y = %3D YOUR TURN 2 Find the derivative of…

A:

Q: 7. A 100-gal tank contains 40 gal of an alcohol-water solution 2 gal of which is alcohol. A solution…

A:

Q: (6) Show all your work. (a) In logistic growth, the rate of growth of a population, R depends on the…

A:

Q: A bacteria population is growing exponentially with a growth factor of 1.5 each hour. By what growth…

A: Given: The bacteria population has an exponential growth with a factor of 1.5 per hour. The growth…

Q: calculus:

A: we have to find the derivative of the given function f(x). f(x)=7log5(x5-9x)

Q: Bacteria population indestructible therefore increases approximately by N(t) = Net Where No is the…

A:

Q: Cumulative Labor-Hours by the Number of Weeks after Job Begins Weeks (x) Hours (f) 23 4 156 7 1253…

A:

Q: Culture Growth Suppose that we start at time to = 0 with a sample of 1 ,000 cells. One day later we…

A: y' = y(k-y),   y(t0) = y(0)  Logistic Growth                        y(0) = 1000 D Solve [{y'[t]…

Q: A population P obeys the logistic model. It satisfies the equation 5 dP P(7-P) for P >0. dt 700 (a)…

A: Solution is below

Q: Question 7 of 15 View Policies Show Attempt History Current Attempt in Progress Your Answer Correct…

A:

Q: Logs of logs Compare the growth rates of ln x, ln(ln x), and ln(ln(ln x)).

A:

Q: Suppose that the investigators want to control for whether a subject is over 60 years old in the…

A: As per our guidelines I can solve only first question. Kindly post the remaining question again.

Q: 22. For which values of x, rounded to the nearest hundredth, will the equation be true? ما قيم x…

A:

Q: Differentiate the accumulation function F(x)= [ In(t)dt. HINT: Chain rule.

A: Topic = Derivative

Q: Logistic Functions and the Carrying Capacity of the Earth The function with M, A, k all positive, is…

A: Given information: The logistic model is P(t)=17.41+5.56e-0.022t. Calculation: We have to find…

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.