1. How do you calculate coordinates on circular or second transition curves? 2. How do you know where the required point is located (which curve)?

Q: Find the solution of the given initial value problem: y"+y' = sec(t), y(0) = 11, y'(0) = 5, y"(0) =…

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Q: 2xdx J2 x²-4x+8

A: Solution :-

Q: If a = (2, -1, 4) and b = (8, 2, 1), find the following. a × b = -9,30,12 X bx a = -9,- 30, - 12

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Q: Use the Jacobi iteration method to obtain the solution of the following equations: 6x₁-2 x₂ + x3 =…

A: We know that the Gauss Jacobi method is an iterative technique to find the solution of the system of…

Q: 3x + y + z = 0; z(0) = −1

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Q: Determine the values of constants a and b so that f(x) = ax^2 + bx has an absolute maximum at the…

A: Given that  f(x) = ax2 + bx has an absolute maximum at the point (1,2).

Q: A population of rabbits oscillates 34 above and below an average of 126 during the year, hitting the…

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Q: Find the solution of the given initial value problem: y"+y' = sec(t), y(0) = 11, y'(0) = 5, y'(0) =…

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Q: Use the method of Lagrange

A: Given the function                  f(x, y, z)=x2+y2+z2 with the two constraints…

Q: 9. If (X, M, ) is a measure space and E, FEM, then μ(E)+μ(F) = μ(EUF)+ μ(EnF).

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Q: Determine the volume of the function f(r, 0, z) = -2r²0z³ in a complete cylinder of radius 3 and…

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Q: Using polynomial interpolation, find roots of the following functions: f(x) = cos x - x

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the radius of convergence, R, of the series. x4n n (In(n))² R = 8 Σn n = 2 Find the interval,…

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Q: 2.) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

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Q: Find the value of the following series 1 a. Ση=3η2_2n

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

Q: Q4: Show that: Hint: use the following: je sin aw aw ² do: T a Flu(t + a)-u(ta)] = 2a sinaw/aw

A: To show that                   ∫-∞∞sinaωaωdω=πa

Q: Find Ix, ly and I。 for the first-quadrant area outside the circle r = 2a and inside the circle r =…

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Q: If Ū is a unit vector and Di f(x, y) = 0 for all points (x, y) then f is a constant function..

A: We have to determine whether the following statement is true or false : If U→ is a unit vector  and…

Q: 'Two particles moving with constant velocity are described by the position vectors: P = Po + vt, s =…

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Q: Use a Maclaurin series to approximate f(x)=sin x on the interval never greater than 0.0001. so that…

A: Given function is f(x)=sinx Given interval is -π16,π16 or x≤π16 error≤0.0001

Q: Use method of undetermined coefficients. y" − 2y' +2y = 2x — 2.

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Q: Suppose that X has a discrete distribution with the following probability distribution function 0…

A: We want to find the value of a and b

Q: d) Let N = {1, 2, 3, ...} and for each n E N, let An = {n, 2n, 3n, ...}. Find A3 n A5

A: Introduction: The symbol "∩" can be used to represent the intersection of sets. According to the…

Q: (9. Solve u, +u,, = 0_for0<x<1,0<y<1, given u(x,0) = 0, u (x,1) = 0, u(0,3) = 0, u(l,y) =1. 9. u(x,…

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Q: S tdt √1+2t

A: To integrate we substitute 1+ 2t = z. Then 2 dt = dz  or, dt = dz/2 and  t = (z - 1)/2 .

Q: What is the altitude of the plane? Round your answer to the nearest meter. 530 m 280 m Note: Figure…

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Q: Now, 50, d2 x (+) dt2 d2x(+) dt 2 d2x(1) dt 2 2 C is +2 J2x(+) ct 2 + 1 +2 = -25 (+ + 2) + 25 (1-0)…

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Q: Use the Midpoint Rule for the triple integral to estimate the value of the integral. Divide B into…

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Q: If an even function f(x) has a local maximum value at x = c, can anything be said about the value of…

A: Let f(x) is an even function i.e. f(-x) = f(x)

Q: Find the equation of the tangent line to the common curve of the two surfaces with equations z = x²…

A: Please check step 2 for solution.

Q: X/10) = X1W) = ~2²02 [ 1-jsin (20)] 2 42 + 2 j sin (26) -2 - 62 2 W2 + + W2 4) X 20 sin (26) 2 W…

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Q: - Given the following two fuzzy sets: tall = 0.2/4.0 +0.4/4.5+0.6/5.0+ 0.8/5.5+0.9/6.0(in feet)…

A: Given that: Two fully sets, tall=0.24.0+0.44.5+0.65.0+0.85.5+0.96.0…

Q: 18. The function g(x) approaches positive infinity as x approaches positive infinity. The zeros of…

A: Looking each graph closely we see the following  Each of graph does not have zero at -1,2,4 (graph…

Q: 2) Show that the three columns on the left all lie in the same plane: 0-0-0-0 If the right hand side…

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Q: We'll be analyzing the surface area of a round cylinder - in other words, the amount o material…

A: Given- A cylinder (round can) has a circular base and a circular top with vertical sides in between.…

Q: Find the numerical aperture theta if the MN=8 cm, PR=8cm and the distance from the tip of the…

A: Given that MN=8 cm, PR=8 cm and the distance from the tip of the connector to the surface is d=6 cm.…

Q: Solve the initial value problem y" - 4y' — 21y = 0, y(0) = a, y′(0) = −24. Find a so that the…

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Q: dy/dx=3x^2+1 with y(1)=2. Estimate y(2) by Euler's method

A: given differential equation dydx=3x2+1 with initial condition y1=2 claim- estimate y2 by euler's…

Q: 10. f sin x dx 25+cos²x

A: To find- Solve ∫sinx dx25 + cos2x

Q: Write the interpretation of independent vectors, span, basis and dimension. Take the example of…

A: We have to give the interpretation of independent vectors, span, basis and dimension by taking the…

Q: As part of an annual fundraiser to help raise money for diabetes research, Melissa joined a…

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Q: c) Create a system of linear equation that is convergent and would have a unique solution. Discuss…

A: Now create a system of linear equations with  2 variables as x+2y=1x+3y=2 or 1213xy=12 Now the…

Q: -2 How did he get the value inside the circle X(t) = 1-t 1 T- W₁ = 2# = 211 = xt) = 1-t, octcl 1 ao…

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Q: Find the radius of convergence, R, of the series. (x - 10)" n R = 10 ∞ n = 1 I = Find the interval,…

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Q: a) An engineering problem is modelled by the formulae below. If the distance travelled by some…

A: Given integration is I=∫0πsin(x)dx Here f(x)=sinx Number of subinterval is n=10 Then step size is…

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2…

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Q: (i) (1, 1), (-6,0), (-2, 2), (-2,-8)

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Q: 1 3 4 A f(x) = + 6 66 7 a) The graph of f(x) is given. Input the equation of f(x) below: 66 b)…

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Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

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Q: Let A 2 -2 (² -3²) 0 1. Calculate the eigenvalues of A. 2. And if possible, construct the diagonal…

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