The poaching model for Species Z is Z' = 0.000923 Z(1- Z) -0.002 where the variable Z represents the population of Species Z and Zo 2571 when t = 0. Use Euler's method with At = 0.25, to approximate the population of Species Z (to the nearest integer) when t = 3. O a) 261 Ob) 416 O c) 454 O d) 362 O e) 366 =

Q: 2. Write the complex number 3+5i 5-3i in the form a + bi.

A:

Q: CO3 Given is a function f(x) = ex sin(x) a) Find the first derivative of the function using forward…

A: As per the question we are given the function : f(x) = e-x sin(x) And we have to find : The first…

Q: (2) Let D CR and (x₂) be a sequence in R. Show that x→x such that x € D if and only if D is closed.

A: Given that D subset of R and (xn) be a sequence in R.

Q: a. y₁ = x³y + xy³; (x² + y²) dx - xy dy =0 0-X²

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Given ƒ(x) = √²; t² - 25 1 + cos² (t) At what value of a does the local max of f(x) occur? x = dt

A: Ans : x= -5     we use Leibnitz's Rule to solve this problems .

Q: To find the volume of the solid obtained by rotating the region enclosed by the curves y=x²-36 x and…

A:

Q: An appropriate integrating factor µ(x) for the following differential equation (2y² + 3x)x+ 2xydy=0…

A:

Q: 3x3 + 2x₁ + X1 + 2x3 + 3x₁ + 3x₂2 5x3 + 3x4 = 6 4x1 + 5x₂ 7x3 + 5x4 = 10 Use Gauss Elimination…

A: given system 2x1+x2-3x3+x4=-1x1+2x2-2x3+2x4=73x1+3x2-5x3+3x4=64x1+5x2-7x3+5x4=10 matrix form…

Q: 1Q: Using Newton's Method solve the following system of equations by taking the initial guess as x =…

A:

Q: Use the Monotone Convergence Theorem to show that the sequence +00 n! {1-3-5--* (2n-1)} converges.…

A:

Q: QUESTION 3 Consider the following statements: (i) If f: [a,b] → R is differentiable on (a,b) and…

A:

Q: Suppose xo = 2√3, yo = 3, 2xn-14-1 Xn-1+Yn-1 and Prove that (a) xnx and yn ↑y as n→ co for some x, y…

A: The statement of monotone convergence theorem is if a sequence is monotonically increasing and…

Q: A tank contains 100 liters of water and 50 grams of salicylic acid. Water containing a salicylic…

A:

Q: Given ξ= {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q}, P = {b, e, c, j, m, n}, R = {c, l, m,…

A: Given- ξ = a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, P = b, e, c, j, m, n, R = c, l, m, n,…

Q: Find the Fourier cosine integral representation of the following: f(t) = {t 0 < t < 1 elsewhere

A:

Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…

A: We need to solve the given LPP to calculate the optimal values of x, y, z and the maximum value of…

Q: 2. Prove that if a, b, c, d, and m are integers such that m > 0, a = b mod m and c= d mod m, then…

A:

Q: The function g(x, y) = x+y+4ry has at least two critical points Select one: O True O False The…

A:

Q: The first batch of state scholars composed of three students. The second batch had 5 scholars. The…

A: In the given problem the pattern will be as given in the table below Week 1 2 3 4 5 6 7 8 9…

Q: Q.2 Use ODE methods to solve the PDE: U₁+U₂=5, U(0, y) = −5,U¸(0, y) = 3y

A: Introduction: When the variable in a differential equation consists of a dependent variable that…

Q: (b) Given the equation of the irregular curve of stream, y = 16x² sin (x). Approximate the stream…

A:

Q: Consider the functional S[y] = − y(2)² + √² ² + [² dx (31/1²) 2 with right-hand boundary condition…

A: As per the question we are given an objective functional S[y] and a constrained functional C[y]  And…

Q: 1Q: Using Newton's Method solve the following system of equations by taking the initial guess as x =…

A:

Q: 3. Let A be mxnand B be nxm. a) Show that the matrices C = BA) b) Conclude that the nonzero…

A: a) We are given the matrices C=AB0B0D=00BBA Now, consider AB0B0IA0I=ABABABBA and, IA0I00BBA=ABABABBA

Q: 1) region s) Sketch and find the exact area of the B bounded by y = xe * +7, y=x + 9, x =7, and x =9

A: Introduction: Calculus requires that you know the difference between two definite integrals of a…

Q: How do i put this answer in dimensional analysis form with fractions?

A:

Q: a. I b. | function f(x, y) = y² − x² + - the critical points of the function f(x, y) = y² − x² + -…

A:

Q: Determine all values of k for which the following set of vectors spans R4. You can select 'always',…

A: We have to find the value of k for which given vectors will span R4. 3-102,0-101,1013,002k

Q: (c) (d) Calculate the following line integrals by using Green's Theorem, where C is the path from…

A:

Q: and 6 >0 such that U(ro, 6) C Vp. We shall show that U(0,8) C V4p. First, note that U(0,8) C V2p.…

A:

Q: A watermelon is in the shape of the ellipsoid whose equation is given by 6x2 + 3y2 + 2z2 = 6. If it…

A:

Q: P(s) = +50s²+281s+500 s4+15s³ +75s² +125s 3s³

A:

Q: -6 -5 -4 -3 -3 -2 8 HAP 7 6. 5 4 327 -1 -2 -7 1 2 ton 3 4 5 Find an equation for the graph above.…

A: Given is a graph To Find: an equation for the given graph

Q: The solution of the exact differential equation (²+y' cos x)de+ (2xy+3y sinx)dy=0 is:

A: The given equation is y2+y3cos xdx+2xy+3y2sin xdy=0 The given equation is of the form Mdx+Ndy=0…

Q: Show that u(x, y) = y²e* + 3x² is the solution for u = yuyy + 6x . 2

A:

Q: The following subset W of R² where W is the set of all vectors of the form CH with the usual…

A:

Q: Question: Find a complete integral of the partial differential equation given below 2 ypq + xp² = 1…

A:

Q: 5. (a) Use integration by parts to evaluate: (i) fr sin(x)dr (ii) sec³(r)dr (b) Evaluate the exact…

A:

Q: (a) Find the general solution in terms of real functions. (b) From the roots of the characteristic…

A:

Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

A: Please find attachment

Q: You are conducting an experiment where a bucket is filled with 11 fluffy hamsters and 7 spiky sea…

A: As per the question we are given a probability space with the set having 11 fluffy hamsters (H) and…

Q: 3. The inverse demand function for a commodity is given by p = 41 -0.33q and the cost of producing…

A: Given the inverse demand function is p=41-0.33q Let revenue function is Rq. So, Rq=pqRq=41q-0.33q2…

Q: 23. Apply the method of reduction of order to find a second solution of the given differential…

A:

Q: Determine the Fourier transform of the following: f(t) = {e¹³t 0, −1<t<1 elsewhere

A:

Q: Consider the following equation. f(x, y) = y^/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = =…

A:

Q: 11 10- 9 8 7 6 5- 3 Find the centroid of the region displayed in the graph. (x, y) = 4

A:

Q: Let AC R " be a measurable set and let a € R. Using the transformation theorem , show v ( a + A ) =…

A: This is a problem of measure theory.

Q: time and that this population satisfies the differential equation Y (0.3+ sin t) dy dt NOTE: Round…

A:

Q: EX LeT X= {1,2,3,4} find The Possible Topology That Contain ses [1,2], [2,3],[1,3,4} .

A:

Q: *Use the following property of the definite integral to estimate the definite integral: f/4 cos x dx…

A: