1. A variant of a new virus is said to grows infection of a human population according to the function f(t) = 300e0.02t where t is measured in days. (a) How many are expected to get infected after a month (30 days) ? (b) How long will it take before it will ever reach an infected population to 1,000?

Q: Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper…

A:

Q: How do I set up the integral to compute the volume for the the following, the volume inside the…

A:

Q: Suppose y is a random variable whose density is either: [/3(y+1), 0≤ y ≤1 else f(y Ho) = { |0, f(y |…

A:

Q: 7. Evaluate 10 x sin x 0 1+x² dx.

A:

Q: Problem 4. Solve the differential equation. If you cannot solve for the dependent variable, leave…

A: Consider differential equation ycosx+2xey+sinx+x2ey-1y'=0. To illustrate the solution to…

Q: List all of the reduced (i.e. invertible) residue classes modulo 24.

A: To find all the reduced (invertible) residue classes modulo 24, we have to find integers n such that…

Q: Consider x² dy + xy = C, where C € R. da (a) Is this ODE linear? Explain. (b) Suppose also that y(0)…

A:

Q: A delivery truck must deliver packages to 5 different store locations (A, B, C, D, and E). The trip…

A: In the cheapest link algorithm we have the following steps to be followed  1.We find the  cheapest…

Q: How would I set up but Not compute the integrals in spherical coordinates for computing the volumes…

A:

Q: 15. Assume A and B are unitary matrices (A) The determinant of A can be -1 (B) (AB)T= A-¹B-1 (C) A…

A:

Q: If I let the boundary E be given by dE : (x^2) / 9 + (y^2) / 4 = 1. How do I compute the double…

A: The boundary is given by x29+y24=1 We have to compute ∫∫E2x23+3y22dA

Q: y"(t) - 2y' (t) + y(t) = 2

A: The differential equation is:y''t-2y't+yt=2y0=1y'0=-1 To Do:We have to solve using Laplace…

Q: Q5. If Σ(n+1)an+1€* + * Σ 2ana" = 0, then ad = x n=0 (a) Ο 1-0 (b) απ 2 do do 8

A:

Q: Consider the system of non-linear differential equations dx dt dy -y sin x. dt Select the option…

A: The given system of differential equations is: dxdt=xsinydydt=-ysinx Suppose, fx,y=xsinygx,y=-ysinx…

Q: Find the flux of the vector field F = across the part of the plane z = 2 + x + 4y above the…

A:

Q: B= 2 Compute each matrix sum or product if it is defined. If an expression is undefined, explain…

A: For solving the given problem:

Q: Let F = . Use Stokes' Theorem to evaluate curlF rlFds, where S S is the hemisphere x² + y² + z² = 4,…

A: I have explained everything with in the solution, please go through that.

Q: Consider applying the method of separation of variables with u(x, t) = X(x) T(t) to the partial…

A:

Q: Consider the system of non-linear differential equations dx dt dy dt x² - y² + 2y - 1, xy - 3x.…

A:

Q: (1) Develop a first order method for approximating f′′(x) that uses data f(x− h),f(x),f(x+3h) only.…

A:

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A:

Q: A cube of a material that is defined in the first octant with x-length 20mm, y-length 30mm and…

A: Since you have posted multiple questions as per our guidelines we are supposed to be answered only…

Q: Problem 7 W₂ and proved that any x € V can Recall that on homework 2, we defined the direct sum V =…

A:

Q: Find the least squares solution of the system Ax = b. 1 1 3 2 1 -2 1 2 0 X = A = 18- b

A:

Q: 10 5 0 $ 10 -10 -5 0 5 10 14 13 12 11 10 7 Z Find the surface area of the portion of the semi cone z…

A:

Q: find the Laplace transform -at x(t) t>o ze е (7)n =(7)x x(t) = ½½/2 xe(t) = cos wit se(t) = Sin wot…

A:

Q: Railroad freight. Graph the data in the following table using a broken-line graph. Annual Railroad…

A: We have been given data on annual railroad carloadings in country X. Year 1940 1950 1960 1970…

Q: 4. Let D be the subset of the plane defined as D := {(t, x): t ≤a} CR2, where a € R. Consider the…

A:

Q: Thirteen members of the executive committee of the Student Senate must vote for a student…

A:

Q: Let r(t) = (sin (1), cos (1), 4 sin (r) + 5 cos (2r)). Find the projection of r (t) onto the…

A: We have been given:rt=sint, cost, 4sint+5cos2t. To Do:We have to find the projection of rt onto the…

Q: Now use the method of completing the square to express the function as a power series and give the…

A:

Q: (b) Consider a different region R in the interior of the curve c given in parametric form as c(0) =…

A: Using green theorem:

Q: 11) Solve the following differential equation: (D² - 2D + 1)y= 2 cos(x)

A:

Q: A conical container, oriented such that its vertex is at the bottom, has radius 9 ft and height 36…

A:

Q: Lisa has 120 sweets. She gives (5)/(12) of them to her brother. How many sweets does Lisa have left?

A:

Q: Show that 2n <n! whenever n is an integer such that n ≥ 4.

A:

Q: Use the simplex method to solve the linear programming problem. Minimize C = -x - 3y + 2z subject to…

A:

Q: 1 Find the inverse of the matrix, if it exists. Use the algorithm for finding A¹ by row reducing [A…

A:

Q: Solve the system below. Note that the solution can be found mentally, without the use of a…

A:

Q: 1. A colony of bacteria doubles in size every hour. Initially there are 32 bacteria in a dish that…

A: Given a colony of bacteria doubles in size every hour.

Q: -3 10 -3 A = [ - ²2 - 3 ] 0 - 1 0 - ³ ] B= -4 6 10 4 Let A = O A. [₁ Show the calculations that are…

A:

Q: y=csc x is even/odd/neither even nor odd function Infinite number of x intercepts/no x intercepts…

A:

Q: ¹ + ²*) *J x² dx (x² + 1)²(x² + 2x + 2) ·

A:

Q: 5. (a) Use Stokes' theorem to calculate the circulation of the vector field F around the curve C.…

A: Stokes theorem:

Q: Use the partial fractions method to express the function as a power series (centered at x = f(x) = Σ…

A:

Q: Problem 6 Let T : R³ → R³ be given by T(x, y, z) = (2x − z, 3x – 2y, x − 2y + z). x a. Find a matrix…

A:

Q: Consider the following differential equation (x² cos(t))+ (x f(t))* = 0. (1) Determine all functions…

A: A differential equation M(x,y)dx+N(x,y)dy =0 is said to be an exact if ∂M∂y=∂N∂x .

Q: Problem 4: Can the following graphs be exhibited as subgraphs of K4,4, If so can they be seen as…

A: An induced subgraphs means that you take a subset of nodes and all edges from the graph between…

Q: 4. Let D be the subset of the plane defined as D = {(t, x): |t| ≤ a} CR², where a € R. Consider the…

A:

Q: Find the hypervolume under h(x, y, z) = 1 over the solid that is x² + y² and the sphere x² + y² + z²…

A: “Since you have posted multiple questions, we will provide the solution   only to the first (…