An inventory consists of a list of 80 items, each marked "available" or "unavailable." There are 50 available items. Show that there are at least two unavailable items in the least either three or six items apart.

Q: Use row operations to solve the system. X+ y-z=-3 2x = y + z = 3 x - 4y + 3z = -7 .... Select the…

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Q: (b) Let B={(0,2,-2), (1,0,-2)} be a basis for a subspace of R³, and let x = (-1,4,-2) be a vector in…

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Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: Given initial value problem is              y'=x2y-12y2     with    y0=3        Let…

Q: Assume that 0 0, consider the sequence of sets: A₁ = {\fn-f|> }, n=1,2,... (1) Show that, for every…

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Q: Determine whether the following statement is true or false: If both matrices A of the size 6 x 4 and…

A: Echelon form of the matrices properties

Q: show that Beltrami-identity does not help you. to solve the equation- + wint fo of t. show

A: Please find the attached solution

Q: 22. The sum of the measures of the interior angles on the drawing of the site plan below equals D in…

A: We know that the sum of interior angles of a polygon is ( n − 2 ) × 180°. where n is the number of…

Q: Solve 3- (1 + x)y' – xy = 1 - x x .. 2 د. علشان مایه رندار

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Q: Of the statements below, three are false and one is true. Find two of the false statements and give…

A: We will find counterexamples for the statements which are false.

Q: An aunt wants to make a gift of $90,000.00 to their niece's for her college education on her 21st…

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Q: Given: f(x)= = x³ x²-3' with f'(x) = x4-9x² (x² - 3)² and f"(x) = 62³ +54x (x² − 3)³ Make a table…

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Q: the characteristic polynomial p(λ) for a square matrixA is given. Write down a set S of matrices…

A: The characteristic polynomial of a square matrix A is given by ; p(λ) = 3-λ2-2-λ3λ2. We have to find…

Q: Question # 1: A function is given by f(x) = 6e-3. Now Answer the following: 1. Calculate f'(x) at x…

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Q: In each of Problems 13 through 16, determine the critical point x = xº, and then classify its type…

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Q: Find the family of graphs G of order p such that y(G) = p.

A: Please find the attached solution

Q: sin x dy dx dy +ycosx + 2xe³ − 3x² = (1 − x²e³) - - dx

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Q: Find some bipartite graph of order p such that i(G) = p - 1.

A: please find the attached answer

Q: Find the shortest distance between the times y-2 3 2-1 २ and X-2 3 2-3 ។ y-4 4 ५-८ 5 and also obtain…

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Q: The U-Drive Rent-A-Truck company plans to spend $8 million on 280 new vehicles. Each commercial van…

A: First we find the corresponding system of linear equations and then we solve them to get the…

Q: 3+1 Determine the values of x and y if: 32 = √√96*

A: 3y+1 /32 = (96)^(x/2).

Q: Let f: Z → Z be defined as f(x)= >= { x + 9 √x+9 x-7 Find a formula for f-1. if x is odd if x is…

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Q: -Solve the above linear system, by using the Gauss-Jordan reduction after you substitute k value…

A: We will apply elementary row operations on augmented matrices.

Q: Let f₁(x) = x³ (a) draw the graph of f₁(x) (b) If we shift the graph of ƒ₁ rightwards for 3 unit,…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: Use technology to find the inverse of the given matrix (when it exists). Round all entries in your…

A: The inverse of a square matrix exists if its determinant is nonzero. We need to calculate the…

Q: Determine the pivot element in the simplex tableau. (If there is more than one correct pivot…

A: Given,

Q: The initial size of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000. If the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q9. Find some bipartite graph of order p such that i(G) = p - 1.

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Q: On the Richter scale, the magnitude M of an earthquake depends on the amount of energy E released by…

A: If log a=b, then a=10b. The equation is provided as: M=23logE1011.8.

Q: A) What percent of the grid is shaded in yellow? 54 B) Assume the Area of the entire grid is 27 sq…

A: We see that there is 10*10 grid. So there are total 100 small squares.

Q: Question 2 a) Lus] Let 3-4 5 B-2 4-1 00 S be a nonsingular matrix. Then find the values of s using…

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Q: Compute the inverse of f(x) = x³ + 1. f-¹(x) = ³√x-1 Check your answer by showing that ff¯¹(x)) = 3…

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Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: Given function is fx,y=x2+y2+z2 and contraint x4+y4+z4=7. To Find : Extreme value of the function…

Q: x + 2 x+5-x + 5 (a) lim Calculate the following limits, or explain why they diverge. 1-n-n² n→∞ 1-2n…

A: Given :  (a) limx→5-x+2x+5 (b) limn→∞1-n-n21-2n-4n2 We have to find the limit if exist.

Q: Multiple Choice о O The probability of a 1 bit is 0.6; hence, the required probability is (6)¹0.06.…

A: Solution:- Option third is correct.

Q: Let V be a a) Show that im(S+T) is a subspace of im(S) + im(T). b) Show that rank(S+T) ≤ rank(S) +…

A: It is given that,  V be a finite dimensional vector space and  S, T ∈ LV. We have to show the…

Q: 3 x³+x²–2x x²-1 = Let f(x) the singularity. (a) Find all the singularity points and state the type…

A: Note--"Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: the base of an objec cross sections (perper nd your answer to at

A: Here, in the question, the graph shows the base of an object. We have to compute the value of the…

Q: The integral I = ["in ( 1 + 427) dx In is [Hint: You may need to use the Mean Value Theorem for…

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Q: y+1 Z Find the acute angle between the lines 1 m n and 1, m, n are the roots of the cubic equation…

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Q: . During the class, we derived in detail the first order Richardson extrapolated derivative, by…

A: Note: As you asked only subparts (a) and (b) so, i answered here only (a) and (b).

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the…

A: We know that A randomly selected card from a well shuffled standard deck  of 52 cards, we know that…

Q: A 5000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each…

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Q: A bag contains 2 gold marbles, 9 silver marbles, and 25 black marbles. Someone offers to play this…

A: Given that, Number of gold marble=2 Number of silver marble =9 Number of black marble =25 Given that…

Q: 16. An offshore well is located in the ocean at a point W which is six miles from the closest shore…

A: Answer :-

Q: smallest such k is called the index of nilpotency of N. (a) Show that if a matrix N is nilpotent,…

A: A matrix N is said to be nilpotent if Nk =0 for some integer k.

Q: Let D be a dominating set of a graph G. Is V(G) – D a dominating set? Why?

A: please find the attached solution

Q: Question 2 system: a) form; Consider the following linear (−2x₁ + 4 x₂ + 3x₂ = − 3 - 4 x₁ + 3 x ₂ −…

A: Solve the system of questions using reduced row echelon form

Q: dx X-Y x+2y

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Q: Cet R3 be the set of all row vectors [x, y, z]. Which of the following sets constitute a subspace of…

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Q: y(t) = y" - 7y' + 6y = et + s(t - 7) + 6(t-9), y(0) = 0, y'(0) = 0 ) + ( [ ])2(x-7)+ ( [ 1) 2(t-1

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