An animal has an initial population of No. From that initial population count, it grew to 705 individuals after 25 years. After 25 more years, the population rose to 2500 individuals. If the carrying capacity for this particular specie is 2700 individuals. Calculate the initial population and the growth rate constant of the said species.

Q: EXAMPLE 3-2 Determine whether the following operators are linear or nonlinear: (b) Âf (x) = x² f (x)…

A: The solution is given as

Q: The yaph Gf figet.4oinknewn os the petersen-graph Fined inG taja trait of tength 5- (b)a poth af…

A:

Q: P = (3, 8, 4) R = (8, 1, 2) Find the point Q such that R is the midpoint of PQ. Q =

A: Given P = (3, 8, 4) R = (8, 1, 2)

Q: 3. f(x) = 4х+5 %3D 9-3х A. x =-1 %3D В. х 3D0 C. x = 3

A: Ques (3) We need to check the continuity and differentiability of f(x)=4x+59-3x at the three given…

Q: EXAMPLE 4.4 Given the following data: -1 0. 3 y%3Df(x) Approximate f(2) by using Newton's divided…

A: Given the following data: x -1 0 3 y=f(x) -2 0 2 Approximate f(2) by using Newton's divided…

Q: Aunt May recently learned about discrete probability. She performed a random experiment of rolling a…

A: Total number ofoutcome for rolling a die three times = 6×6×6 = 216

Q: In C(11,r)=165, what is the value of r? 9 only 8 only 2 and 9 3 and 8

A:

Q: Q6. Which 2 of the series below are divergent ? You must select exactly 2 answers: 23n A. Σ 1 B. L…

A: To show that a series is convergent or divergent there are several method.  A necessary condition…

Q: Fined all eigen values and eigen vectors of the matrix and check that P'ẠP is diagonal matrix 8 - 8…

A: Solve A-λI=0 to find the Eigen values.

Q: Suppose ū = (1,-5, 1) and ī = (0, –5, 3). Then: u + v= и — 0% U - u= 5u= 2u – T0=

A:

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Let f be a function defined for t 2 0. Then the integral…

A: We have to apply Laplace transform.

Q: 5. Reason abstractly. How many different angles does the figure include? Name them.

A:

Q: Find the system of linear inequalities that corresponds to the system shown. 10 8 2x + 13 y = 81 y 4…

A:

Q: Describe the graph of the equation. r = - 181 + (1 – 12)j + t k O It is a parabola in the plane x =…

A: We need to describe the graph of the parametric equation r=-18 i+(1-t2)j+t k.

Q: What does the Four-Color Theorem say, and what is significant about the way it was proved?

A: The four color theorem is a famous theorem in mathematics

Q: Find a basis and dimension of the solution set to the system 2.x1 + x2 + x3 + x4 = 0 2.x1 – 3x2 –…

A:

Q: direct proof: prove the following  Claim: The sum of two even integers equals an even integer…

A:

Q: Formulate a linear programming problem that can be used to solve the following question. An…

A:

Q: 36 – x² – y² and S2 be the Let Si be the hemisphere with Cartesian equation z = 6 – upper nappe of…

A: The solution is below.

Q: - Write the Cayley (operations) table for Z3×S2.

A:

Q: If a​ true-false test with 10 questions is​ given, what is the probability of scoring   ​(A)…

A: If a​ true-false test with 10 questions is​ given, we find the probability of scoring   Exactly​ 80%…

Q: Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A:

Q: A Hippogriff is a magical beast that had the front legs, wings, and head of a giant eagle and the…

A:

Q: A Living a pom is 7:2m fog and 15 m wide. what ire gresesd wald 7 be of a joale plan qucun p a feale…

A: The given length of the room is 7.2 m. The given width of the room is 4.5 m. We need to find the…

Q: Find an equation of the plane. the plane that passes through (8, 0, -1) and contains the line x = 5…

A: The equation of plane through a point and contains a line

Q: For the conical surface 0 = 30°,0 <0< 21,0 <r< 2, the lateral surface area is what?

A: Sol

Q: Evaluate (107/137). You may assume without proof that 107 and 137 are prime numbers. Show all of…

A: Quadratic Raciprocity is used

Q: Question 7: Evaluate || f(x, y)dA where f(x, y) = x/y and R is the rectangle defined

A: Multiple integrals

Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

A: The factor theorem is an algebraic theorem that connects a polynomial's factors and zeros. The…

Q: product = (detA)(detB) an Inner Product? Prove or give a counter-example ning which specific…

A:

Q: Find the value(s) of a making i = 2ai – 3j parallel to u = a? i+3j. %3D a = (If there is more than…

A:

Q: Find the vertex set, edge set, and edge endpoint table of the digraph G. e1 V2 V1 e5 e6 ez e7 e4 e8

A: Given a graph with edges and vertices as shown above. To find the vertex set, edge set and edge end…

Q: Please answer correctly following the same format as the questions. Box the correct answer and I…

A:

Q: 3 4 5 6 | 4 52 3 Aこ | 2 5 6 2 I 5 6 7 2 3 1363

A:

Q: |e*y dx+e* dy; C: r(t) = (t+ 1, ),-1si<3 Exercise 97.

A:

Q: Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

A:

Q: Write the statement in symbolic form if: p: The temperature is 90ºF. q: The air conditioner is…

A:

Q: Let S be the equivalence relation on {− 1, 0, 1} × {0, 1, 2, 3} defined by (a, b )S(c, d) if and…

A: Let A  = {-1,0,1}×{0,1,2,3}  i.e A=…

Q: x3 – 2x? – 5 = 0, [1,4]

A: The given equation is x3-2x2-5=0. We have to find the root of that equation by Newton -Raphson…

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

A:

Q: at a unit-speed regular parametrised curve 3: (-7, 7)→ R² with T, N) has constant curvature k> 0.…

A: Sol

Q: Find the number of different ways that a family of 6 can be seated around a circular table with 6…

A: Given Total members of family = 6

Q: in the parabola 16y = 160- x2. Find the maximum area of the triangle if side s B and C is parallel…

A: Sol

Q: Consider the f(x) = cos(x-C) function shown in the figure in blue color, where 0 sCs 2n. What is the…

A: Using graph cos0=1cos(0-c)=-0.75cosc=-0.75c=2.4Approx

Q: EXAMPLE 4.4 Ans: 3 Given the following data: -1 3 y3Df(x} Approximate f(2) by using Newton's divided…

A: We approximate f(2) by using Newton's divided difference interpolation.

Q: 3. Consider the following linear program: Min 8X + 12Y s.t. 1X + 3Y > 9 2X + 2Y> 10 6X + 2Y > 18 А,…

A:

Q: 6) Graph the transformation of the unit square using T(x) = Ax and A = 3 4 2.

A: Transformation of the unit square

Q: J. Atter a vise of 72, a peson's jary $507.15 4ow vAeng much did fe earn before fhe nCreOse?

A: Rise in the salary is 712% or 7.5%. Let the initial salary be x. If the salary x increases by 7.5%,…

Q: Suppose that a 2 × 2 matrix A has an eigenvalue 2 with corresponding eigenvector and an eigenvalue…

A: Eigenvalue and matrix P for diagonalization

Q: Numerical Analysis 2 Consider that, we have the following initial value problem: y' =y+t*e', 1sts2…

A: To approximate y(1.1) using Taylor method of order two with h=0.1. y'=2ty+t2et, 1≤t≤2, y1=0