1. Show that 2. Prove that Vn 3. Show that 2 n √2 is irrational. i=1 2 VI 2 I 4 the inequality 2

Q: B. Prove the following identity: [y] where a is constant. Using this identity solve the following…

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Q: Let A be a 3 x 4 matrix with reduced row echelon form given by [1 0 4 1 1 1 0000] U 0 find as and a…

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Q: Suppose that your friend Rhyley has saved $5,000 toward the cost of a car and her parents have…

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Q: What is the general solution of the differential equation xy - xex² 2x²y? O y = xe ² + Ce-2² O y =…

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Q: For the curve given by r(t) = (-2 sin(t), −1t, 2 cos(t)), Find the unit tangent T(t) = (0) 00 Find…

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Q: 1 Part 1 of 2 Required information NOTE: This is a multi-part question. Once an answer is submitted,…

A: Let us consider a  weighted graph. Then the shortest path is obtained as Consider the starting edge.…

Q: Use Green's t'heorem to find the work done by the overline force P (z,y) = x({s+y}stay when moving a…

A: see my solution

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Q: Question 5 Write a vector equation that is equivalent to the system of equations. = 1 X1 - 8x1 + -…

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Q: A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1.…

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Q: The following graph shows the approximate number (in thousands) of people who immigrated to Ireland…

A: Given that

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A: To Show: The collection of all sets which are the union of sets of the form [a, b) is a topology on…

Q: Find the number of real solutions (x,y) of the system of equations x³ + y² + y² = 0, x² + x²y + xy²…

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Q: Draw a contour plot for function showing several leve curves and solve for each standard equation…

A: These are the question of several variables, multi-variable calculus.

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of…

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Q: A sofa regularly sells for $800. The sale price is $624.00. Find the percent decrease of the sale…

A: Solution :   Given that  A sofa  regularly sells for $800 The sale price is $624

Q: The function y=x³-2x-cosx has three real zeros. Use Newton-Raphson Method to determine these roots…

A: Newton-Raphson method use the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: a. USE A MODEL Ahmed wants the entire trip to take less than 45 minutes. Let d represent the…

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Q: Let T : V → W be a linear map. Show that T preserves linear combinations, i.e. T(a1V1 + ... + anVn)…

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Q: a) Calculate. 2= 8i √3-i as a complex number in cartesian representation.

A: (a) To Calculate:  z=8i3-i as a complex number in cartesian representation.             Note: As…

Q: Find the surface area of revolution about the x-axis of y = 4 sin(3x) over the interval 0 ≤ x ≤…

A: Given,          y=4sin(3x) over the interval 0≤x≤π3.

Q: 9. An equation of the tangent line to the curve x cos(2y) = y sin (2x) at the point (7) is: TL A) y…

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Q: Ex if A = [2 - 1], then find P(1) if P(x) = x²-3x² + 2x-5 0 @ P(x) = 2X²³-4x²=7X-6 Find A¹ if 3…

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

Q: A business wholesales its product for $34.27 each. The business incurs $5,000 in bills each month…

A: The profit function is calculated by subtracting the cost function from the revenue function. The…

Q: Solve using Manual Solution & Microsoft Excel. Show the commands.

A: Note: We are entitled to solve the question by one method only. As the specified one is not…

Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

A: Solution :- The equation is y=a+bx+cx2 and the normal equations…

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A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: If A⊆B ,can we always conclude that A = B

A: Let A and B are two non empty sets Since A⊆B i.e., The elements of A are contains in set B Here we…

Q: (f) dy dx separable = 3y + y² exact linear in x linear in y homogeneous Bernoulli in x ✔Bernoulli in…

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Q: Find the general solution of each of the followingsystems: y''1= 2y1 + y'2 y''2= 2y2 + y'1

A: Given that : y1"=2y1+y'2y2"=2y2+y'1 To Find : The general solution of the differential equation :…

Q: Find the smallest positive integer n such that 5(3² +2²) (3¹ +2¹) (3³ +2°)... (32" +22")> 924 9256

A: Using mathematical induction we can find the solution. Smallest n=9.

Q: Determine the highest real root of f(x) = 2x³-11.7x² +17.7x-5 a. Newton-Raphson Method with x, = 3.…

A: Note: We are entitled to solve only one question at a time and by one method only. As the specified…

Q: Give examples of concepts, priciples and mensuration of plane figures formula of the

A: Introduction : Mensuration is the name given to the area, volume, and length of various geometric…

Q: 12. Let f(x) = sinx-cosx. The absolute maximum of f(x) on [0, π] is: A) 1. B) √2. C) 2√2. D) - E) T

A: Question 12 Sol:- Suppose that x=c is a critical point of fx then, If f 'x>0 to the left of x=c…

Q: f(x) = -0.676x108x*-0.266x105x³ +0.127x10³ x² -0.0185

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Q: The linear transformation T: R2 R? with matrix cos 0 - sin 0 A = cos 0 rotates vectors in the…

A: Consider the given matrix, A=cosθ-sinθsinθcosθ Now, characteristics equation of A is,…

Q: 5. What values of p result in predictions that the helicopter will land in a finite amount of time…

A: Note: 1xp, p>0 approaches to ∞ as x approaches to 0. To solve the differential equation…

Q: Solve for a: a +1−2a=0 (HINT: This equation is quadratic in form. Also, a = a¹/3 and a = a¹/6) 2

A: If we can take some a to the power equal to x , and convert the given equation into a quadratic…

Q: 1. Use Euler's Method to approximate the solution to the given initial value problem at t = 1 and…

A: Given,           y'=te3t-2t, 0≤t≤1, y(0)=0, & h=0.5.

Q: Example 5: Solve the DE (3 + y + 2y^2 sin^2 x) dx + (x+ 2xy − y sin 2x) dy = 0 i. f(x,y) = M(x,y)…

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Q: b. Jacobi Iteration (Use &, = 0.1%)

A: Given system is 2x1 -6x2-x3=-38-3x1-x2+7x3=-34-8x1+x2+2x3=-20

Q: Differential Equations – Find the actual solution: 2+½ − 2t − [2 − ln(t² + 1)] y' = 0 t²+1 ; y (5) =…

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Q: Consider the arrays ¡C= 30-10 0200 -1030 0002 y D= 3 -1 1 -1 -1 3 -1 1 1 -1 3 -1 1 −1 3 −1…

A: I am attaching picture for a b c if you like the solution please like it

Q: (b) Prove that √2+√3 is irrational. Hint: Assume that √2+√3 is rational. Construct, under this…

A: We write the given expression in single square root form which gives us contradiction.

Q: Your cell phone plan costs P1000/month and gives you unlimited talk, and 500 text messages per…

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Q: a) Let f(x) = 1-1,1] (x). (i) Show that f(x) = sinx. (ii) Using the Parseval's theorem, deduce the…

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Q: y = (c1 + c2x)ex + c3e2x

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Q: Use the set-roster notation to indicate the elements in each of the following sets. Use ellipsis…

A: We know that, Set Roster notation of a set is a simple mathematical representation of the set in…

Q: Let T: P→ P3 be the linear transformation satisfying T(1) 32²7, T(x)=-3x+8, T(x²) = 2x² + x +4. Find…

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Q: Find the roots using newton using initial guess 5.7 with an accuracy of 1% f(x) =…

A: Solution -0.676⋅10-8x4-0.266⋅10-5x3+0.127⋅10-3x2-0.0185=0Let…