per month, where t is time in months and S(t) is the number of computers sold each month. 2 3 S'(t) - 15t The company plans to stop manufacturing this computer when monthly sales reach 800 computers. If monthly sales now (t =0) are 1,430 computers, find S(t). How long will the company continue to manufacture this computer?

Q: Find the determinant of [1 6-4 0 02 0 0 00 -2 0 00 -7 0 2 3 -2 -2 0 6 -2 0 0

A:

Q: Suppose a subspace is spanned by the set S of vectors shown below. s={[G]-[-2.]} S Find a subset of…

A:

Q: . Express dw dt as a function of t using chain rule where sin (x+y)+sin (x+z) + sin (y+z), dw and x…

A:

Q: A Manufacturing Corp. with three-station work cell has the process displayed below. Each workstation…

A: Given information:Manufacturing Corp. has a three-station work cell.Each workstation has only one…

Q: Use the divergence theorem to evaluate the surface integral missing z = 0, and N is the outward unit…

A:

Q: Find the Fourier series for extended to a 2π-periodic function. ao N + an cos(nt) + bn sin(nt) = ∞ ∞…

A:

Q: Follow the steps below to solve the given differential equation using series methods. Assuming the…

A:

Q: GIVEN: A E M(3,3), a € R. -1) -6 0 2 -4 -2 (a + 6)) Find all values of a so that A¹ does not exist…

A:

Q: show that if then where 1₁, 1₂, A E MA (IR) is diagonalizable " det A) = πTAK = 2₁ d₂... de 1₂1 are…

A:

Q: Consider the functional 1 S[y] = f'da dx √1+x+y¹2, y(0)=A>0, y(1) = B > A. Show that the function…

A:

Q: Write x³ - 3x² - 10x + 24 ≤ 0 in factored form by using either synthetic or long division and then…

A:

Q: Consider the following problem: Maximize -₁ subject to 2x₁ X1 X1, + + X2 x2 2x2 X2, + 2x3 + x3 + x4…

A: solution.This is an optimization problem with 4 variables and 2 constraints. We can introduce slack…

Q: • • Sketch the graph of an example of a function f that satisfies all of the given condition. f(0)…

A: By the given values we are drawing the function in step 2

Q: Solve the boundary-value problem y" – 6y' + 9y = 0, y(0) = 3, y(1) = 0. help (formulas) y(x) Note:…

A:

Q: 5. Assume that f is diff on R s.t. f(0) = 0, ƒ(1) = 1, ƒ(2) that 3x € (0,2) s.t. f'(x) = (hint: MVT…

A:

Q: Find a minimum value for the radius of convergence of a power series solution about xo. (x²-7x+10)…

A:

Q: b) W is the subspace of R³ with basis vectors 1 and 0 The vector in W closest to 3 [] 3 3 is O

A:

Q: The system of first order differential equations 3/₁ = − 4y1 + 5y2 +1 y2 = 5y1 - 4y2 + 1 where y₁…

A: Given system of first order differential equations is y'1 = - 4y1 + 5y2 + 1y'2 = 5y1 - 4y2 + 1With…

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A:

Q: Find the flux of F(x, y, z) = yi - xj + 2k across S, where S is the helicoid with vector equation…

A:

Q: Find the eigenvalues and eigenfunctions for the following boundary value problem (with A > 0). y" +…

A:

Q: 4. Let the vector space P([-1,1]) have the inner product = f(t)g(t)dt, using 21

A:

Q: Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (8x²) to…

A:

Q: Please help with finding these solutions Find the general solutions of the system. x(t) = 6-90 = 1…

A: According to Bartleby guidelines I have solved first one

Q: Let V, W be a pair of vector spaces and A : V → W be a linear image. Then A(V ) is a linear subspace…

A:

Q: Using the first isomorphism theorem, how would you prove that G/K is isomorphic to G. I already…

A:

Q: 4. Consider the following identity: 2 Σ(3) - (30) (2n). (1) Perhaps it seems mysterious? But if you…

A: We use basic counting techniques to solve this problem.

Q: First, compute the gradient of the function p(x,y)=√√9-x² - y². Then evaluate it at the point…

A: ; We have to find .

Q: Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and…

A: To prove the statement P(n) using strong mathematical induction, need to follow these steps:1. Base…

Q: 9. y = ln (3x - 5)

A:

Q: You have a chance of a lifetime to creatively design beautiful pieces of artwork, while illustrating…

A: The objective of this question is to understand the relationship between fractions, decimals, and…

Q: Let n lines be drawn in the plane such that each line intersects every other line but no three lines…

A: suppose there are  lines in the plane such that each line intersects every other line.No three lines…

Q: Follow the steps for graphing a rational function to graph the function F(x)= x² +7x-8 x+2 OC. The…

A:

Q: The function f(x) f(x) = [nx". n=0 C1 C2 Find the first few coefficients in the power series. CO =…

A:

Q: Verify all vector space axioms under the given operations (x,y,z)+(x',y'z') = (x+x'+1,y+y'+2,z+z'+3)…

A: The objective of the question is to verify if the given operations satisfy all the axioms of a…

Q: For the unit circle triangle, use the arcsin and arccos functions as required to determine θ to two…

A: Given the list of x-values. We need to find the values of corresponding θ and y.For x=+0.30:And,

Q: A supplier ships goods from Richmond, VA to three market places in 3 cities (Chicago, IL; Athens,…

A: Given information:The supplier ships goods from Richmond, VA to three marketplaces in three cities:…

Q: A survey was distributed to a group of people asking them how many times they had ordered takeout in…

A: Given that the trend line of a scatter plot passes through the points (1,230) and (3,190).

Q: write 4 Given that = 3 -5 4 2 3 4 as a linear combination of the vectors -5 4 -5+ -5 3 3 -2 5 -4 -3…

A: We will write  as a linear combination of the vectors

Q: Write the general solution of the ODEs by finding two power series solutions about the ordinary…

A: The differential equationTo find the series solution about x=0, ordinary points.

Q: Use Green's Formula, S A given integral: aQ - bỹ) dxdy = = $(P dx + Q dy), to evaluate the JA 3…

A: where C is circle centered at origin with radius 1 .We have to evaluate the given integral using…

Q: 1 A с B 2 4 3 F D E G 5 7 6 H 8

A:

Q: K A defense contractor is starting production on a new missile control system. On the basis of data…

A:

Q: Consider the following set of data, I m = Number 1 b = Number 1.7 2 2.8 3.6 4.3 Y 294 (Again, round…

A: For the given data, we have to fit the function  for some constants NowWhere

Q: Use the limit comparison test to determine whether an = (a) Choose a series an lim n→∞ bn = lim n-x…

A:

Q: Consider the initial value problem given below. dx dt = 3+tsin (tx), x(0) = 0 Use the improved…

A: Consider the initial value problem given below.= 3 + tsin(tx),   x(0) = 0We have to use the improved…

Q: Consider the following differential equation y" - 2y' + y =0. (a) Prove that W = {ƒ€F : ƒ" − 2f' + f…

A: The objective of the question is to solve the given differential equation, find a basis of the…

Q: Find the following limit. √√x-4√√x 8%√x+4√√x lim 8118 lim 8118 5√x-4√x 8√x +4√x (Simplify your…

A:

Q: 2. Let f: Z²Z² be given by f(m, n) = (m-n, n). The composite functions fk, for k € Z+, → are defined…

A: We use the process of mathematical induction

Q: I can't follow any of the writing.  Some of it is dim, and some doesn't make sense: In the problem,…

A: One must not assume f(c)= 0.But If one assumes that , then the claim "" is true.