Determine the highest real root of f(x) = 2x³-11.7x² +17.7x-5 a. Newton-Raphson Method with x, = 3. b. Secant Method with x₁ = 3 and Xo = 4.

Q: Find the roots using secant using initial guess -0.17 and 0 with an accuracy of 1% f(x) = cos(x) +…

A: by secant method if x0 and x1 are two initial guess then next approximation for roots of equation…

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Q: (b) Prove that Vx, y ≤R : x² + xy + y² ≥ 0, and that x² + xy + y² = 0 if and only if x = y = 0.…

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Q: (no need for proof) For the following recurrence, give an expression for the runtime T (n) if the…

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Q: Find the least squares polynomials of degrees 1 and 2 for the following data [(-2,0), (0₂-2), (2,…

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Q: [2] x ² (y+5) + (y+5) = (413) ✓ Solve the following IVP: (x²y + y + 5x² +5) = y² +y-2; y(1) = 2 ✓ dx

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Q: Find a square root of 340 modulo 437. (Note that 437 = 19 x 23) (b) Find a square root of 253 modulo…

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Q: 1. d 3x² -5 dx 7x+1 2. 3. +4x² d -7 sin(4x²)+e³x sechx² dx d³ dx.³ -7x² + 4x-e³x 4. d 9/5x³y² +5x²z²…

A: The given has been solved using Matlab code which is given in Step 2. The code uses the Matlab…

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: Find a basis of the subspace of IR³ spanned by the following vectors: 3 -3 3 -3 Answer: -3 6 -9 4 2…

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Q: 2.There are 70 classrooms in a building, 40 classrooms have moveable seating, 32 classrooms have…

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Q: You are given the initial value problem dy/dx = 3x where y = 1, when x = 0. what is the value…

A: We have to solve given Questions.

Q: Provide solution.

A: To determine whether the limit of the function exist or not .

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Q: Given the differential equation (~² (e sin y-32²) dr + is on ? SN dr O e siny - y O-e* sin y O e cos…

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Q: Consider a flow with velocity v→ (x,y,z) and density ρ(x,y,z), such that F→ and let n → =ρv→be given…

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Q: 5. a) Set up, but do not evaluate, an integral for the surface area of the object obtained by…

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Q: For the following matrices A, compute (i.e., derive a formula for) eªt. for given o E R and w > 0.…

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Q: What is Sawtooth function?

A: Sawtooth function:  The sawtooth function is a kind of non-sinusoidal waveform. it is named based on…

Q: Examples and similar. Justify appropriately. (a) Give an example of a metric on R³. (b) Give a…

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Q: Solve the given initial-value problem. The DE is of the form dy = f(Ax+By+C), which is given in (5)…

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Q: 11. For what value(s) of a will f(x): = ax+1 x²+x+4 never have a horizontal tangent (for any value…

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Q: Let S₁ = {1-(-1)/n:ne N}. Find inf S, and sup S..

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Q: 1. Linearize x³ + ln x about x=3 In

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Q: Consider the following loss function on vectors w€ R4: L(w) = w/ +2w+w²3 - 2w3w₁ +w² +2w₁ − 4w₂ +4 -…

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Q: A hyperbola in standard position has a foci of (±17,0) and x-intercepts of ±15.  A. What is the…

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

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Q: Apply Duhamel’s principle to write an integral formula for the solution of  initial value problem…

A: Apply Duhamel’s principle to write an integral formula for the solution of  initial value problem…

Q: Given: xdx + xLnydy-yLnydx - xLnxdy+yLnxdx = 0, Find C if x = 1, y = 1

A: Let us consider the differential equation of the form Mdx+Ndy=0 Solving the equation  Find…

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Q: Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 75…

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Q: Solve for x. |x+9 25x-1|=0 STEP 1: Solve for the determinant in terms of x. +9 |*+2²5x-11-L 331-0…

A: solve for x x+9-125x-1=0 step 1 solve for the determinant in terms of x x+9-125x-1=x+9x-1+25…

Q: Apply the successive approximation formula to compute yn(x) for n ≤ 4. Then write the exponential…

A: Given : dydx=x+y       ,  y0=0 To Find : (a) yn(x)  n≤4 (b) Exponential series

Q: Suppose that a > 0. Which of the following functions has all of these features?  one negative…

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Q: Angela deposits $⁢5500 into an account with an APR of 2.4% for 7 years. Find the future value of the…

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Q: a/ the limit of lim x-0 05 02 O O 3x-sinx X

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Q: Consider the initial value problem given below. dx -=2+tsin (tx), x(0) = 0 dt Use the improved…

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Q: A payday loan is made for five weeks, where the amount of interest owed per $⁢100 borrowed is $⁢30.…

A: Sol:- Interest owed per $⁢100 borrowed is = $⁢30 Interest owed per $⁢1 borrowed is = $(30/100)…

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

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Q: 1. a) Are the following statements true or false? Statement 1: Every integer x is of the form 2k or…

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Q: Assume that an and bn are eventually the same, so there is some K EN such that an = bn for all n >…

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Q: C- Find the Fourier expansion of the f(x) = sinx -T<x<T

A: Sol:- Fourier series of function fx on interval -L≤ x≤ L is defined as: fx=A0+∑n=1∞ An·cosnπxL+∑n=1∞…

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Q: Determine the following limit. 16x³+2x² - 4x lim x→∞ 40x³+x²+2x+2 Select the correct choice below…

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Q: Consider the matrices [2 1 A = 2 2 -2 31 3271 and x = X1 B Xx2 a. Show that the equation Ax = x can…

A: TO solve the system of linear equation we use matrix method .

Q: For numbers 1, 2, and 3, determine the general solution. For numbers 4 and 5, determine the…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…