A virus infect with contact and is most infectious at winter. If you get infected, you remains a carrier for an unlimited time. In an isolated population with P persons the rate of infection by time (after the first of january) is propotional with the product of :  1: the number y(t) infected 2: the number not infected 3: 1 + cos((pi*t)/6) 1/10 of the population is infected 1.january Make a differential equation that satisfies y(t), solve it, and explain every step

Q: Unrestricted. Bacterial Growth A cenain colony of bacteria grows at a rate proportional to the…

A: The number of bacteria doubles every 12 hours. To determine: The time taken by the colony to grow to…

Q: An exponential model y = a · b passes through the points (0, 3) and (3, 81). What are the values of…

A: Since, we have been given up an exponential model y=a.bx -(i) whichpasses through the points (0,3)…

Q: Peter has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money…

A: Solution

Q: An exponential model y = a · b" passes through the points (0, 3) and (3, 81). What are the values of…

A: Given- An exponential model  y=a·bx  passes through the points 0,3 and 3,81. To Find- The values of…

Q: 6 · log4 (x³) + 4 · log4 ( 5 ) − 6 · log4 (16) = log4 (xªy²) for the values . . α = B =

A:

Q: Intergrate (ln x)2. Show all working out.

A: We have to integrate lnx2 that is ∫lnx2dx. Used formula:-  ∫fx⋅gxdx=fx⋅∫gxdx−∫ddxfx⋅∫gxdxdx Here,…

Q: Consider the equation y = 3*. a Complete the table of values. X y +- x+ -2 0 () Tab -1 a b 0 1 2

A:

Q: 5(0.6)X, Shift the origin by two years forward in the equation, Y. Where, the origin 1998 and X unit…

A:

Q: why does the local error increase in proportion to the square of the step size but the global error…

A: To understand why the local error increases in proportion to the square of the step size, we need to…

Q: Find dy/dx. Do not simplify the answer. 4* +4 csc a.) y = log4 x-csc(4) b.) x3 y + cosh¬1 3 = e –…

A:

Q: 65= 3+29 ln(t+1)

A: To find: The value of t. Given: The equation is 65=3+29lnt+1. Concept used: If ln a=b then eb=a.

Q: jn= 16, α=0.05

A:

Q: Find a formula for the exponential function of the form f(x) = a· bª that passes through the points…

A:

Q: Logz dz = 0. z-21=1 :Select one True False Clear my choice

A:

Q: 2) If x=0 and y=5 Check if the following statement is true. Explain and show your work. log, (5x –…

A: log of negative number does not exist

Q: ln(1)

A: NOTE: Refresh your page if you can't see any equations. .

Q: For all positive numbers a and b with a>b ln(a−b)=ln(a)/ln(b)

A: given a,b positive numbers anda>b

Q: Evaluate : [ vx° +1} log (x + 1) - 6 logx dx.

A:

Q: 1 (a) log16 2 = 4' That is, write your answer in the form A" = C. Then А |, B = and C 1 (b) log, 16…

A:

Q: Show that b) logi = (2n + 2) ri лi (n = 0, ±1, ±2, ...);

A:

Q: Evaluate the following logarithm expressions to verify the change of base rule. la. log:(50) = (use…

A:

Q: The half-life of a radioactive element is the number of years it takes for an observed amount of…

A: the time required for the concentration of a reactant to decrease to one-half its initial value.…

Q: The population of a certain city is projected to grow at the rate given below. The rate is measured…

A: Given rt=6001+10t5+t2 where 0≤t≤5 Let Pt be the population at year t, then Pt=∫6001+10t5+t2dt Now,…

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

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.