A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 3, drawn from the 8, will not contain a defective computer. (...)

Q: Compute the amount of work done by the force field F(x, y, z) = (x² − z², ln y, xz) in moving an…

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Q: Suppose that you borrow ​$11,000 for four years at 5​% toward the purchase of a car. Use…

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Q: Solve the system using the elimination method 5x'+y" -y + =t x" - 4x - 2y' = -2...

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Q: Consider the following graph. (Click on graph to enlarge) The graph of f(x) is blue and the graph of…

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Q: 7. A man invested $4000 at a certain rate of interest and $7200 at 2% less than the first rate. The…

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Q: (a) Determine whether or not it is convex or concave. A = {(x, y) = R²|yx4, and -2≤ x ≤ 2} B = {(x,…

A: Necessary Sufficient Nature f'x0=0 f'x0=f''x0=f'''x0=..=fn-1x0=0  fnx0>0 n even Convex f'x0=0…

Q: savings account subject to compound interest at the given rate. Principal Rate Compounded Time…

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Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

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Q: Problem 3: For each of the two graphs below, determine whether they are planar. Justify your answer:…

A: Given: Two graphs G and H.We need to check whether the given graphs are planar or not. Also,…

Q: (a) Using the chain rule, show that = 1, and (i) dt d² (ii) = 1/²-1/dr. (iii) Hence show that (*)…

A: (a) (i) Given t=es ⇒s=logt⇒dsdt=1t∴dxdt=dxdsdsdt⇒dxdt=1tdxds tdxdt=dxds  Therefore tD=tddt≡dds=D1…

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Q: Consider A function f(x) = x³ - 7x² + 4x + 12. (a) (b) (c) (d) (e) Construct two different fixed…

A: Aitken Acceleration Method: Let fx be a function. Then, the formula used to find the iterations in…

Q: Use Green's Theorem to evaluate: LE F.n ñ ds where F =(√x + 5y, 2x + 5y) and C is the boundary of…

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Q: In solving the differential equation xdy + y - x²y² = 0, f(2)=3 C=

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Q: (4) Chapter 7, exercise 2.14: The class equation of a group G is 1+4+5+5+5. (a) Does G have a…

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Q: A Leslie matrix is given below. [2.8 3 0.4 0 0 0 3 2 0 0 0.5 0 0 0.7 0 (a) There are (b) age groups…

A: Given: Leslie matrix as ,  2.83320.400000.500000.70To do:  (a) There are __ age groups of…

Q: Show how the division algorithm for complex numbers works. Give at least 3 illustrations

A: To show how the division algorithm for complex numbers works with the help of three examples.

Q: xxx, xy(Rxy →→~Ryx) - vx~Rxx

A: To prove ∃x Rxx , ∀x∀yRxy→~Ryx ⊦∀x ~Rxx

Q: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)

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Q: a) Let R and S be relations on the set A = {1, 2, 3} represented by the matrices [1 0 11 [1 01 0 0 1…

A: Since you have posted multiple questions, we will provide the solution only to the specified sub…

Q: If the equation of a plane is given by 2x - 10y + 11z = 30  What is a normal vector to the plane?…

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Q: Suppose p and o are relations defined on S = {1, 2, 3, 4} by the sets p = {(2, 2), (3, 2), (3, 4),…

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Q: 23. Evaluate the line integral F. dr, where F(x, y) = (arctan (y),) and the curve C is a triangle…

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Q: Determine the present value P that must be invested to have the future value A at simple interest…

A: The given problem is to find the present value that must be invested to have future value A=$5000 at…

Q: Prove that 3! 2(n+3) Σε p=0 = V *C, (1 r+3 C,

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Q: a. 1+3+5+7+ b. 4+9+14+ c. 3+8+13+. d. + 1 1.2 1 2.3 ... + ·· +44 +63 1 3.4 +99 + + 1 49.50

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Q: · Let G be a group of order 100. Use the Sylow theorems to show that G has a normal subgroup of…

A: G is a group of order 100. i.e., |G| = 100 = 22.52 Then, by the 1st sylow theorem, G has a sylow 5…

Q: 7-14 Use Stokes' Theorem to evaluate Sc F. dr. In each case C is oriented counterclockwise as viewed…

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Q: answer incorrect

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Q: Use the multiplication principle to solve. A home improvement store website listed 278 different…

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Q: 18. Factor the expression x4-y 4* A. (x²-y²)(x+y)(x-y) B.(x²+y²)(x-y)(x-y) O C. (x²+y²)(x+y)(x+y) D.…

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Q: Find the volume between y Pappus method 2x² 9 X = 3y² 4 2 around 3x+4y-12=0 with the

A: The shaded portion is our region D.

Q: h paper are 100. Find the numb

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Q: Problem 3. For the graphs below, determine the minium number of colors nccessary to color them. Give…

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Q: Ifx+y+z= 1 and x, y, z are positive, then show that ( 1)² ( 1)² ( 1)² 100

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Q: The graph below shows the function y = p(x). -7-6-5-4-3 2 7 6 5- 4 3 2- ردا hie 2 -4 -5 --6- -7+ 2 ď…

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Q: Find the minimum and maximum values of the function f(x, y, z) = 3x + 6y + 4z subject to the…

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Q: Given the periodic function: f(x) = x² 0 ≤ x <1 Find the half-range sine expansion of f(x), and…

A: Since you have asked multiple questions, we will solve the first Question for you. If you want any…

Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)…

A: Consider a triangle T defined by its three vertices r1, r2, and r3. Each point r located inside this…

Q: The function y = f(x) is given by the figure. 2 1 0 −1 -2 y 1 B(x) = = 2 y = f(x) 3 f(t) dt 4 +X…

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Q: If n is a positive integer, then prove that 2n(2n-1) 2n(2n-1)(2n-2) 2! 3! 1-2n+- + ...

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Q: Identify the edges of all the spanning trees of the given simple graph C .(Check all that apply.)

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Q: To the nearest three decimal places, find Sand R for Σ 8 n=1 A B с D S=0.016, R. 0.013 8 8= S8 = 1 S…

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Q: Integral Representation for ₂F₁ : T(c) = a T (b) T (c − b) √ ¹b-¹ (1 - ₁)²-b-1 (1 − xt)¯ª di 2 F₁…

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Q: 2- Find the connected components of this graph and illustrate your method. H

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Q: Use Green's Theorem to evaluate F So = (√x + 4y, 3x + 4y) and C is the boundary of the region…

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Q: 3. If Ax = b has a solution and A" y = 0, is (y" b = 0) or (y" x = 0)? Justify your answer…

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Q: (c) f(t) = 3tan 4t

A: The given problem is to find the Laplace transform of the given function. Given function…

Q: 1. Out of the 3000 families who live in an apartment complex in St. James, 600 paid no income tax…

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

Q: 3. Use Green's Theorem to evaluate the line integral ſxy¹dx+ 2xydy, where C is the portion of the…

A: Let     M(x,y) = xy4      and    Nx,y = 2xy                     ∂M∂y=4xy3     and      ∂N∂x =…