A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars)

Q: Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 6 cents per c...

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Q: urve: f(x) = x4 − 6x2

A: Given,          f(x)=x4-6x2

Q: y"-5y'+6y=e'; y(0) = 1, y' (0) = 1

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Q: Show that the following SL problem has a negative eigenvalue y"(x) + Ay(x) = 0, y'(0) = 0, y(1) – y'...

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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: b. Let x, y,p E Z, where p is prime. Prove that x2 - p²y - p + 0. (Hint: you may use without proof t...

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Q: What is the derivative of f(z) = (z³ –- (z – 1)º)*? %3D

A: Given function is f(x) = (x3 - (x-1)3)3

Q: 44. Using Laplace Transfom technique, find the transient response of the system describe by the diff...

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Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: = [ cos* (;x) dx y =

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Q: Solve the following problems completely and accurately. Representation, Illustration, Quantity to be...

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Q: Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If...

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Q: 1. Write down the system of differential equations for the gradient flow associated to V (x, y) : xy...

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Q: Question 3 ( Let ƒ € C®[xo = h, xo + h] (for h > 0). Show that "(z) = {(z0 + h) – 2/(x0) + f(xo – h)...

A: We will use the basic knowledge of numerical analysis and the Taylor series to completely answer all...

Q: B. locate the 2-score with an area of 1.0.4500 2.0.4995

A: Given the area. to find the z-score.

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: The total length of the wire is 48 cm.  

Q: Match the set on the left with its size on the right. O Instructions (0,0) The set of letters in the...

A: The cardinality of a set is the number of elements present in that set. Let P be a set, then the car...

Q: Find the domain and range of the relation. Use interval notation where appropriate. Express numbers ...

A: Given,        

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: From the given functions that are mapped from Z to Z. identify the onto functions. (Check all that a...

A: The onto function f from a set A→B is defined as follows:

Q: Give the third approximation (third iteration) of the solution of the system 12x+7y+3z=2 x+5y+z=-5 2...

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Q: Which of the following expressions is equivalent to In (2r + 1)°e-2)? Choose one answer O (x – 2) In...

A: We have the expression ln2x+13ex-2We have to find the equivalent expressions. We know that lnMN=lnM+...

Q: Evaluate the following integral, u(T - 1)u(t-T)dT. a. tu(t) b (t-1)u(t- 1) c. t-1 d. (t-1)u(t)

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Q: Jx + L. f(x) = L, *0 > x> 7- f(x + 2L) = f(x) Problem 2: %3D 0 <x < L;

A: This is the problem of Fourier Analysis.

Q: Solve the following S-L problem y"(x) + Ay(x) = 0, y (0) = 0, y(L) = 0.

A: Given that, y''x+λyx=0y'0=0yL=0 We consider three cases according to λ so that we can get non-trivia...

Q: II Simplify the following: 1. (ĀNĒ N Č) U (Ā OBNC)U (ĀNBN Ĉ) U (ĀN B N C) U (A O Bn Č)U (A N B nC) a...

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Q: Required informetion NOTE This a a mupart question Cnce an answer s suomited you wbe unabie to retun...

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Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of ...

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: I. Identify the elements for the following set expressions given the sets below: (Explain your answe...

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Q: 2. If f(x) = x , g(x) = 5x and h(x) = x + 4 find each value 1. flg(1)] 2. g[h(-2)]

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Q: A large hotel chain needs to apportion 20 new surfboards for its visitors to rent among three hotels...

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Q: Let A = {1,2,3,4, 5, 6} and let R be an equivalence relation on A. Suppose that 1R2, 3R5 and 6R3. Al...

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Q: The value of the following integral is log. dx e-1 O 3/2 O 5 O 5/2 3

A: We have to evaluate the integral ∫e−1e2logexxdx. Substitute logex=u ⇒1xdx=du And limit of u is u=-1 ...

Q: Question 14 Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate she...

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Q: Required information NOTE This is a multi-part question Once an answer is submitted, you will be una...

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Q: Answer number 1. Show soln

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Q: Problem 1. Let V = (a²( - 2), y?(23 - a), z2( - y)) and = r? + y? + 22. %3D (a) Use the definition t...

A: Given the vector function V→=x2y3-z3,y2z3-x3,z2x3-y3 and ϕ=x2+y2+z2. (a) Definition: For ϕx,y,z to b...

Q: A resort plans to apportion 51 new toboggans among the four resorts based on the number of rooms in ...

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Q: Find the maximum and minimum values of the function f(x, y) = 2?y subject to 2a? + 4y? = 24

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Q: Use the formula for the binomial series: (1 + x)" : 1+ mx + 2! m(m-1)2 m(m-1)(m-k+l) +... k! m(m-1)(...

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Q: S {(*- z) if 0<I < 2n, f(z) = %3D f(x + 27) otherwise. Find its Fourier series.

A: This is a problem of Fourier Analysis.

Q: The solution of the ordinary differential equation y" – y" = 0 is:

A: The given ordinary differential equation is:y'''-y''=0The auxiliary equation is:D3-D2=0

Q: LIST THE MINIMUM DOMINATING SETS, MINIMUM INDEPENDENT DOMINATING SETS AND MINIMUM CONNECTED DOMINATI...

A: The given graph is: We know that a dominating set of a graph G=V,E is the subset D⊆V such that vert...

Q: 6. Let a be a real number. Consider the series a" where an = cos(na) 2n +1° an n=0 (a) Is it possibl...

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Q: S | = cosh (v4 t) s²-2- False True

A: L{ sinat} = as2 + a2,   L{ sin2t} = 4s2 + 42a is falseL{ eat f(t)} = F(s-a) where F is Laplace trans...

Q: (4+sine*)y' =e*(6sec e - ycose"); y(ln 1) = 1/4

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: Use inductive reasoning to predict the most probable next letter in the list.., H, I, M, N, R, S, O ...

A: Observe the pattern 

Q: What is each resort's apportionment using Adams's method? A B CD Resort Number of rooms Allocated to...

A: The complete solution is in given below

Q: Tonight at 7pm a professional basketball game featuring the Golden State Warriors and the Washington...

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