Fit a second degree parabola to the followng aata : 1 2 3 4 1 1.8 1.3 2 6.3

Q: G6. Write down the adjacency list for the graph above:

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Q: 5s s+4 s2 + 16 -f(t) 3e 4t-5 cos 4t C. f(t) = 3e¬t - 5 sin 4t .f(t) = 3et-5 cos 4t D. f(t) = 3et - 5…

A: Given Laplace transform is F(s) = 3s + 4 - 5ss2 + 16

Q: Find the value of x, y and z using Gaussian Elimination Method: ax + y + z = 1 x + ay + z = 1 x…

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Q: 43. Cooling A pitcher of buttermilk initially at 25°C is to be cooled by setting it on the front…

A: Introduction: When a body with temperature T is kept at a medium of temperature Tm, the rate of…

Q: G9. Draw a graph with 4 vertices each of degree 2.

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Q: Jamie needs a new roof on her house. The cash cost is $4700. She decides to finance the project by…

A: what finance charge will jamie pay  i m solving only first because in second part need apr table

Q: Define the seqeuence {an } as follows: bo = 1, b1 = 2 %3D br :2bx-1 – bx-2 for k > 2 Use strong…

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Q: Represent f(x, y) (0<x < 4, 0 < y < 4) by a double Fourier series sin (). NTY f(x, y) = EEBmn Sin ()…

A: The given problem is to find the value of Bmn using double Fourier series with given f(x,y) series…

Q: Problem 1: Suppose that r (t) is a differentiable vector-valued function and the curve in the…

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Q: (a) If b – 4ac = 0 and y1 = em solves ay" + by' + cy = 0, use reduction of order to get a linearly…

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Q: Q4. (a) Show that the substitution r= e' reduces the equation ar'y" + bry' + cy = g(x) to an…

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Q: Using Reunge-kutta method of fourh oxden Solve dy (0)%3D1at 2. with | 2. 2=0.2,0.4.

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Q: A man on a cliff observes a boat at an angle of 'depression of 30° which is approaching the shore to…

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Q: 2. Determine whether the set of the vectors {V1, V2, V3, V4} are linearly dependent or independent.…

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Q: Solve the following Differential Equation using Laplace Transform. y' – 3y = e-5t y(0) = 6

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: Find E[Y(z)] when Y(z) is given by 2z' + 6z² + 5z + 1 2(2z + 1)

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Q: (b) Let k E Z. Show that {x E Z | x divides k}C {y €Z ] y divides k2}. (c) Show that the set {x E N…

A: The answers are in the next steps.

Q: Determine the volume of the solid obtained by rotating the region bounded by y = 2x+ 1. x = 4 and…

A: 1st we will draw region bounded by given lines and then will rotate it about x=-4 line to generate…

Q: The surface area of a sphere, initially zero, increases uniformly at 4 square inches pe second. Find…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Sketch the curve y = x/(x² – 9). Enumerate the steps in your solution.

A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

Q: A function x with the following equation: {2,0<x<3 (x) = -2,-3<x<0 Period 6 Is the function of the…

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Q: -(). Below is the graph of y = Translate it to become the graph of y =| – 3. - )- ?

A: Translation of the parent equation y=f(x) f(x)+C C&gt;0 shifts upward C&lt;0 shifts downward…

Q: Write the expression below in the form (a+ b)" 1296x" – 4320x°y + 5400xy- 3000x y + 625y

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Q: Determine the effective annual yield for $1 invested for 1 year at 3.9% compounded quarterly. The…

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Q: fLt)=Cot-a tya そくa

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Q: 10. Let o: Q(V2) → Q(/2) be the map given by ø(a+bv2) = a-bv2. Show that is a Q-linear field…

A: We have given a map ,  ϕ : ℚ2 → ℚ2  such that , ϕa + b2 = a - b2 We need to show that , ϕ is an…

Q: Q3. Given that yı = -3x²e¬3#, Y2 with constant coefficients, 7x* are solutions of a linear…

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Q: 0. 11. If we buy 2 tickets from station A to station B, and 3 from station A to station C, we have…

A: To solve the word problem Determine what is required to find Write the statement in mathematically…

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned.…

A: To use the compound Interest formula to compute the total amount accumulates and the Interest…

Q: Theorem 85 Let a be a positive real number. For all real numbers and y, 1. 1리 < a → 2. Jay| = |x|…

A: Let a  be a positive real number To prove 1) |x| &lt; a⇔                  2) |xy|= |x| |y|…

Q: Si6-X2 dy dx q +x?+y

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Q: 1. Answer the following question when X.X...X is a random sample from N(u.o). |(a) Find the integral…

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Q: 1. Use substitution technique to show that ++x+2+x- v2 +C dr 1 In rV+r+2 +x+2+r+ V2

A: As per our guidelines we are supposed to answer only one question that is the first question. For…

Q: Determine the monthly payment for the installment loan. Annual Amount Financed (P) Rate (r) $1000…

A: Here given P=$1000r=7.5% =0.075n=12t=3

Q: 15. y" – 10y + 50y = 0, y(0) = -3, y(0) = 1 %3D

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Q: 1. Dahlia invested $300 at the end of each month into a fund that pays 3.6 % per year, compounded-…

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Q: Verify the Stokes's Theorem for the calculation of the work done by the vector field: F = (r, y²,…

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Q: Q1. Solve the following first order equations: (b) (e* + y)dx + (2+ z + ye")dy = 0, y(0) = 1. %3D…

A: EXACT DIFFERENTIAL EQUATION,

Q: How many different orders are possible in Z*92639 (Hint: 91639 is a prime; 91638=2 . 27 . 1697

A: To see how many different orders are possible for elements in  Z92639

Q: r(6.7)

A: Solving for given gamma function

Q: Use the Binomial Theorem to expand the expression (3x + 2y') Show your work.

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Q: 5. V4(9t-5)'+1

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Use Stoke's theorem to compute the integral [[s(V × F) · n dS, where • n F(x, y, z) = (xz, yz, xy)…

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Q: f: (0, 2) → R defined by: -1 0<x <1 1<x< 2 (a) Sketch the Half-Range cosine series for f f(x) = { 1…

A: Given :        f : 0, 2→ℝ defined by       fx=-1,0≤x≤11,1≤x≤2 (a) To sketch the Half-Range cosine…

Q: (3) (a) Suppose a ring R is a finitely generated algebra over a field k. Prove that the Jacobson…

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Q: Consider the following. W = {(3t, t): t is a real number} (a) Give a geometric description of the…

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Q: Instructions: Find the integer value of 16y(/3) 3/3 if y solves the initial value problem y" +y = 0,…

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Q: 3. The cost C of manufacturing transformers in a factory varies with the output N per day according…

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Q: 2. There is a function f : X →Y . Let's define a relation R in a set X, by a formula: (xRy) → (f(x)…

A: Given f: X → Y and R is the relation in the set X such that x R y ⇔ f(x) = f(y)