use Lagrange interpolation formula to determine the relationship between the force and velocity and evaluate the force at v = 40 m/s (use the following table): Velocity (m/s) Force (N) 5 55 20 60 50 200 100 300

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Q: 3. Complex Variables as: Given the following complex function expressed C. w = f(z) = 6z² + 8z +…

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Q: 2. Suppose p is the statement There are 1,000 meters in one kilometer' and q is the statement 'You…

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Q: sinxcos ydx + cos²xdy=0 A B Ⓒ D secx tany=C - CSCx+coty=C secx + tany = C CSCx-coty=C

A: Given : sinxcos2y dx+cos2x dy=0 To Find : Solution of given equation

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Q: Write ALWAYS if the statement is always true, SOMETIMES if it is sometimes true, sometimes false,…

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Q: Evaluate and express in Polar Form b. E= (8 - j5)¹/3

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Q: Solve the given problem completely. Show your solution. In a dance crew with 32 members, 9 are are…

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Q: Use DeMorgan's Laws to write the negation of each statement: 1. I want a car and a motorcycle. 2. My…

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Q: Q4/A: 1- L-1 65-4 5²-45+16 2-L¹ [ 6 2S-8 3-2S 95²-16 8+6S 45² +9

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Q: Problem 9 Let f: R² → R be the function given by the function ƒ ( [*]) = x² + y + xy² + 4. Consider…

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Q: 1. Eliminate the arbitrary constant. y² = 4C(x + C) 2. Obtain the general solution. (Let 2C=C) (4x +…

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Q: 3. Consider the system of linear equations 2x₁ + 3x₂ + x3 = −1 3x₁ + 3x₂ + x3 = 1 3x₁ + 4x₂ + x3 =…

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Q: Initially, there are 400 bacteria and after 9 hours, 900 bacteria are observed in the culture. Find…

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Q: then solve the system using the inverse of the coefficient matrix. a. b. -2x +4y = 2 -3x +7y = = 7…

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Q: A building constructor has a contract which will expire in 50 days. He has 80 men on the job and can…

A: Given that a building constructor has a contract which will expire in 50 days. He has 80 men on the…

Q: 2. For each of the following sequences, determine whether or not a graph exists that has this degree…

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Q: Sketch the graph of a function f(x) that satisfies lim f(x) = ∞, lim f(x) = 4, lim f(x) = -2, x-2…

A: We will draw a graph that satisfy all the given limits . Lets draw the graph

Q: 3. Derive the following Newton-Cotes formula. 1 (a) f f(x) dx ≈ A₂. = AS (-=-1) + AS ( 1 ) Af -1 2…

A: These are quadrature type approximation. These hold exactly for polynomial of certain degree and…

Q: y²dx+x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) © xy²=c(2xy) x+y²=c(2xy)

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Q: Use the limit definition of the derivative to abow that f(x) z is nowhere complex analytic.

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Q: Find conditions on k that will make the following system of equations have a unique solution. To…

A: Given: The equations are: kx+3y=44x+3ky=5 To find: The condition for k for the unique solution.…

Q: Q3/ A: Find General Solutions for the following Differential Equations (Use Differential Operators).…

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Q: Make a list of rules/properties for a quadrilateral to be a rectangle.

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Q: y²dx+x(x+y) dy=0 A xy² = c(x+2y) x²y=c(x+2y) xy² = c(2xy) x+y²=c(2xy) B C D

A: Given: The equation is y2dx+x(x+y)dy=0. To find: The correct option for the solution of the given…

Q: M 1 2-2 4 5 A The row echelon form of the matrix is

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Q: What are the domain and codomain of the function “How many siblings do you have?”?

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Q: (a) The number N = 49,725 represents the ages of a group of teenagers multiplied together. How many…

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Q: Solve the differential equation y" - 2xy' + 8y = 0 using appropriate method. Then evaluate the first…

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Q: (a) A spherical iron ball 6 cm in diameter is coated with a layer of ice with uniform thickness. If…

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Q: Assume that A is a matrix with four rows. Find the elementary matrix E such that E A gives the…

A: Given that A is a matrix with four rows. We want to find the elementary matrix E such that E A gives…

Q: The displacement of a particle is given by s-4t-66t2 +113t-41 wheres is in feet and t is in seconds.…

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Q: 10.  Use Trapezoid approximation with  n = 4  equal subintervals to approximate the value of  1 4ex2…

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Q: 1. Identify and sketch the domain of f(x, y) = 4-1²-y In r

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Q: x+2y-z = 4 3x-y+z=5 2x+3y+2z=7

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Q: 1. Prove the following cyclic and anticyclic permutation identities: a) Eijk = €jki = €kij; b) €ijk…

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Q: 1. The records at a particular two-year college classify a student as a freshman, a sopho- more, a…

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Q: Use error propagation rules and show the correct formula to calculate the error  A = 3y + 2x^3 SA…

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Q: 3. Find z₁ if z = xyeỹ, x = rcos(t), y = rsin(t), when r = 2 and t = 6

A: Given: The equations are z=xyexy, x=rcost and y=rsint To find: zt when r=2 and t=π6.

Q: A={[₁]IXER,YER} | x R* А

A: A is not a subgroup of GL(2, ℝ) because it is not closed under matrix multiplication .

Q: A: Find the Fourier Series of the function : f(x)=X+n if = n < X < n and f(x+2n) = f(x)

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Q: Identify and sketch the domain of f(x, y) = 4x² In x Y

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Q: What value should be multiplied to (y + x³y³)dx + xdy = 0 to make it an exact? 1 (xy)-8 b. (x+y)-3…

A: Given differential equation is y+x3y3dx+xdy=0.......1. We have to find the integrating factor for…

Q: ¹ (²) - y² tan-¹ Find zxand zyif z = x² tan-¹

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