Let r(t) = (sin(4t), 4t, cos(4t)) describe a helix in 3D. Determine b so that it makes one complete circular arc describes one circular arc for t = [0, b]

Q: 2. 3. Find the solution of the initial value problem t 4. dy=y+t² sint, y(n)=0. dt Solve the initial…

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Q: Q1) Consider the problem y " +2y= 0, y' (0) = 0, y(1) = 0. a) Find the eigenvalues and the…

A: We have to find the eigen value and eigen function.

Q: Marcos needs you to help him calculate the size of the lid, with that he can make a box for the…

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Q: Suppose the mean of X is 94. What does the mean of X become if you multiply X by 1.22?  (Use two…

A: The objective of this question is to find the new mean of X after it has been multiplied by a…

Q: Find the general solution of the given second order differential equation. 3y'' + 2y' + y = 0

A: The objective of the question is to find the general solution of the given second order homogeneous…

Q: If Cov(X,Y) = 13, then what is Cov(.50X, 100Y)?

A: The objective of this question is to find the covariance of the two variables .50X and 100Y given…

Q: Suppose the relationship between Y and X is given by: Y = 50 + 3X + error  By how much does the…

A: The objective of the question is to find out the change in the expected value of Y when X decreases…

Q: 1. (a) Construct the first Taylor approximant to f: (−1,1) → R, ƒ(x) = sin¯¹ x about a = 11. (b) Use…

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Q: Solve the IVP using the Laplace transform. y" — 5y' + 6y = e¹t, y(0) = 1, y'(0) = 0

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Q: Given the following matrix: 11 8 -12 0 0 -8 -15 0 0 -17 0 0 0 0 = 5 -9 2 12 0 -2 14 0 0 -5 Suppose…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and…

A: (a)The direction of the most rapid increase of  temperature is

Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: 7. At the beginning there were 90 milligrams of a radioactive substance. After 3 hours, there were…

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Q: For each of the following relations, determine whether the relation is: Transitive. A partial order.…

A: Answer:Explanation:Reflexive: A relation on a set is reflexive if every element in the set is…

Q: Scientists in Florida are measuring the masses of sea turtles as they hatch. They create a line…

A: See that we have a point on the line graph corresponding to the weight of 1214 ounces and there is…

Q: for the O.D.E. Q₁ (A) Determine the value of y رينج كوتا two step. when X=1 given that y(0) = 1…

A: Given that ,   and           Let    Fourth order R-K method,…

Q: a. During 2008 the S&P 500 index depreciated by 37.6%.† Assuming that this trend had continued,…

A: Solution given below Explanation:Step 1:a. To calculate the value of the investment after 7 years,…

Q: M Draw the graph represented by the given adjacency matrix. [1 2 1 N = 2 0 1 0 1 [2100] 2013 1 1 0 2…

A: We have to draw the graph for the given adjacency matrix.

Q: (15pts) Let A, B and C be sets. Determine whether or not the following are valid. Justify your…

A: The objective of this question is to verify the validity of the given set equations using set…

Q: Consider the following. My recent marketing idea, the Miracle Algae Growing Kit, has been remarkably…

A: Dear student, kindly check the answer in the explanation box below.Explanation:Part 1: Answer:The…

Q: Consider the following linear programming model: MAX Z=MAX(10X₁ +5X₂ +8X;) -- Subject to: | X, +X,…

A: In the question, objective function and constraints are provided. The question's purpose is to…

Q: 1 12.50 24.17 3 2.08 5 0.83 of representatives. 4.50 0.75 0.45 0.30 8.00 2.67 0.80 0.53

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Q: Question 2: (a) Give the definition of the double root of a function and sketch the graph of a…

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Q: Arturo's farm has different animals: turkeys, cows, roosters, chickens and rabbits. Help him…

A: Arturo has a diversified farm with many animals, including turkeys, cows, roosters, hens, and…

Q: Consider the following pair of functions: f: Z → Z defined by f(x) = 3x - 2 g: N → Z defined by g(n)…

A: The function  is defined by  and the function  is defined by .We have to check whether  and  are…

Q: Suppose the expected value of X is 29; and the expected value of Y is 97. What is the expected value…

A: The objective of this question is to find the expected value of the expression (0.63*X + 0.37*Y),…

Q: Suppose Var(X) = 96, and a = .45. What is Var(aX)?

A: The objective of this question is to find the variance of the random variable aX, given the variance…

Q: 1 Find the Taylor polynomial P3(x) for f(x) = 1+2x centred at a = 0, of 1 order 3. Give a bound |₁2x…

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Q: If Cov(X,Y) = 839, then what is Cov(11X,16Y)?

A: The objective of the question is to find the covariance of the two variables 11X and 16Y given the…

Q: Consider a random graph G(N, p) with In the limit N→→ ∞o the average degree (k) is given by 0 0 0 0…

A: The given problem is to find the average degree and determine random graph has a giant component or…

Q: Solve this linear IVP,        xlnx dy/dx + y= 2lnx,                           y(e)=2

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Q: 2y" − 7y' + 6y = (2x + 1)e²¤

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Q: Consider the function f(x, y, z) = 6xy + 4yz +6y − 3z² - y² subject to x + 2y + z = 75 a) Write down…

A: Consider the function  subject to .Let .

Q: Let (an) be an unbounded sequence. Show that it has a subsequence (bk) = (ank) 1 such that lim = =…

A: Given, an  unbounded sequence.It is required to prove there exists a subsequence  such that .To…

Q: y" + 16y2x sin 4x

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Q: Q9.Use Muller's method to find all the solutions of the given function. f(x) = x³ - 7x² + 14x - 6

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Q: c)

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Is the following 2 1 1 -3 0 2 A = matrix A strictly diagonally dominant? -1 1 7

A: The given matrix .The objective is to determine whether the matrix is strictly diagonally dominant…

Q: Euclidean distance can be used to calculate the dissimilarity between two observations. Let u = (26,…

A: The objective of this question is to calculate the Euclidean distance between two points in a…

Q: Evaluate the surface integral [[F F. ds for the given vector field F and the oriented surface S. In…

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Q: Find the general solution of the given second order differential equation. y'' + 4y = 0

A: The objective of the question is to find the general solution of the given second order differential…

Q: Can you break these two questions down step by step so its easy to understand. 4. Can you conclude…

A: Given below solution Explanation:Step 1:Step 2: Step 3: Step 4:

Q: The upward velocity of a rocket can be computed by the formula below. Compute for the time t at…

A: The objective of the question is to find the time 't' at which the velocity of the rocket is 1450m/s…

Q: 1, t, t2, t3,   , tn     where  t ≠ 0,  satisfies the given recurrence relation (but not necessarily…

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Q: Execute phase 1 of the two-phase method to find an initial basic feasible solution for the following…

A: Let, given problem:Objective Function:Maximize: Subject to:The problem will be adapted to the…

Q: method of variation x² d²y dx² - X dy d.x of parameters - 3y = 4x³, to find the solution of with…

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Q: Please don't provide handwritten solution...

A: ParticularsABCInitial Cost100001500020000PV of Cashflows125001762121043Benefit250026201043Benefit is…

Q: Consider the Kuhn-Tucker Probblem Minimum z = (x₁ - 2)² + (x₂ - 1)² Subject to 2x₁ + x₂ ≤ 3 3x₂ +…

A: Consider the given non-linear programming problem.Minimum .Subject to:We know that the Lagrangian of…

Q: 3. dy Solve the initial value problem e". -x=x³, y(0) = 1. Solve for y(x) explicitly! dx

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Q: Solve the initial value problem e dy -x=x', y(0) = 1. Solve for y(x) explicitly! dx

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