You have 1000 bugs in a bottle. It is known that the bug population is given by the logistic model with a birth rate per capita of 20% per week. After a very long time, you found that the bug population had attained an equilibrium value of 5000. You then started an experiment with an antibiotic which killed E bugs per week, where E is a positive integer. After another very long time, you found that the bug population had attained another equilibrium value of 3000. Then the value of the positive integer E is

Q: A set of two, three, or four red vectors in R² or R° is shown in each picture below. Determine…

A:

Q: Question (2) P (군)= (z -3)" Let then : a) Determine Zo=? and ana? b) Determine the Covergance…

A:

Q: a. Suppose f : R? → R° is a linear transformation such that () Then f b. Suppose f : R2 → R² is a…

A:

Q: North and at 3:00 PM, lunar local time. Hint: The 12:00 PM noon for a lunar location is when the…

A: Solution

Q: Let T : R² → R² be the linear transformation defined by T(x,y) = (20x + 20y, –10z – 10y). Find a…

A:

Q: An ice cream cone has a height of 13.5 inches and a diameter of 2 inches. What is the minimal…

A:

Q: 3. We learned in class that for a given A, the f(r) that minimizes the cost function i=1 is a…

A:

Q: Using Newton-Raphson method and hand calculation to find the roots (X.& X) of the following…

A:

Q: You bought 3 boxes of regular pizza, which are sliced into 8 pieces each, for your basketball team.…

A: Each pizza is sliced into 8 pieces. After eating, 1 slice is left in first box, 3 slices left in…

Q: Fill in the boxes in the following proof by contradiction that: For all sets A and B, if B ⊆ A'…

A: For all sets A and B, if B ⊆ A' then A ∩ B = Ø

Q: Use the appropriate formula to find the amortization payment (in $) you would need to make each…

A:

Q: A vector v in an n-dimensional vector space V is said to be a cyclic vector for a linear…

A: We are given the following. Cyclic Vector: A vector v in an n-dimensional vector space V is said to…

Q: Determine whether the following series is convergent or divergent. Explain by giving the name of the…

A: Series and sequences, comparison test, geometric series test and integral test

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A:

Q: 3. Зx-4y+6-0 and 2x-5y-19-0 ans.A [5 4 – 23]

A:

Q: Find a unit vector orthogonal to the vectors 5i + 8j + 3k and 4i + 8j + 8k with non-negative first…

A:

Q: 5. x+3y=7 and 3x-2y=10 ans.A = -+- 2 – 3 – 3 11]

A:

Q: 35. Carl's basketball shooting records indicate that for any frame, the probability that he will…

A:

Q: Find the area of the parallelogram with sides a = 6i + 2j + k and b = 4i + 3j + k. (Express numbers…

A:

Q: be defined by J Ja linear transformation? a. f(x + y) : | + Does f(x + y) = f(x)+ f(y) for all æ, y…

A:

Q: Find the number of 3-permutations of a set with seven elements. а. 130 b. 120 c. 210 d. 100

A:

Q: 4. [3 2 - 1 4 ][- 510 6]= (- 15 + 2 – 0 + 24) = (11)

A:

Q: • Decomposition in even and odd components • Proof the following: e(t) A o(t) 1

A: The complete solution is in given below

Q: If one diagonal of a cyclic quadrilateral is 18.76 m, with side a = 16.44 m , b = 12.34, c = 10.49,…

A:

Q: Show that (m) (2n 4n n

A: As n → ∞, By Striling approximation formula n! tends to  sqrt(2 pie n) (n/e)^n

Q: Qyst asecond order Polynominal to the data 2/3| 319 12/415 4/7 5- 624

A:

Q: Supposernc N and n 4 0 Then show that rn is positive if and only if r is positive

A:

Q: Which one is an improper integral?

A:

Q: Q: Classify and Solve dy sin x dx sin x sin 2x +y cos x

A:

Q: The gradient vector field of f(x,y)=y(2x2 -y3 ) is given by: O1. (2xy)i +(x2 -3y² »i O II. (4xy)i…

A:

Q: 32. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 3) S sin? dx

A: Solve the integral

Q: of the following Is the fundamental solution matrix for the coefficient i ? 1

A:

Q: 1 Under the transformation w=-, find the image of y – x + 1 = 0

A:

Q: A design studio received a loan of $260,000 at 3.6% compounded monthly to use as working capital for…

A:

Q: 41-45. In an employee selection of a company, 5 males and 4 females pass the test as the candidate.…

A: Since you have asked multiple question( second and third question) we will solve the second question…

Q: Question 3: A game of zumpie consists of 3 teams; 2 teams lose and 1 team wins. Fifty-one teams…

A:

Q: : Solve the IBVP 4 = Urz + ke, 0 0 u(0, t) = u(1, t) = 0, t20 %3D %3D k u(z, 0) = -e, 0<I<1. %3D 4

A: By adding some function of x only we transform the non homogeneous equation to a homogeneous…

Q: Consider all numbers between 20000 and 70000. Efficiently determine: A) How many of these numbers…

A: A) Let abcde be a required even integer. Because {2,3,4,5,6} ∩ {0,2,4,6,8} = {2,4,6}, the problem…

Q: The following table gives the approximate increase in dollars in the average price of a liter of soy…

A: To determine the average price of a liter of soy sauce at the beginning of 1973.

Q: Find a power series representation for the function and determine the radius of convergence. 12.…

A: Find the power series exaption of the function and radius of converges

Q: If A is an n x n matrix and b + 0 in R", then consider the set of solutions to Ax = b. Select true…

A:

Q: MATHEMATICS Direction: Read the problem. Analyze then solve for the correct answer. Then, draw the…

A: Given , Length : l = 20 cm Height : h = 5 cm Width : w =  4 cm

Q: R: Given the IBvp の o<xcL Solve for 4(XE).

A: Using separation of variables and superposition principle

Q: 2. Determine which of the following is a subspace of R". (a) {(x1,x2,...X) 1 x = 0} (b) {(x1,…

A:

Q: Q3. Construct 5 spanning trees for the graph G below. a a' d d'

A:

Q: Use Stoke 's Theorem to evaluate [ . dr, where v = y²i + xyj + xzk, and c is the bounding curve of…

A: We have to solve the given problem by using stokes theorem.

Q: 2(a) Given Bernoulli equation xy' + 3y = 6x³, solve for appropriate solution. CR [6] %3D

A:

Q: Q/ Find the rest of the function by (Itradion methal) 2. accu=onoet

A:

Q: Solve y" – y" + y' – y = e=t sin t.

A: