16. Find f F.ds, where F=(z, x,-y), and the surface S is the helicoid r(p,t) = (p cost, p sin t, t), 0st≤ 2π, 0sps1.

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A: We Use the simplex method to solve the problem:  Maximize: P = 3x1 + 2x2  subject to: 5x1 + 2x2 ≤ 20…

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Q: If vectors O True False 3 V2, ..., Un span R³ then n must be equal to 5.

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Q: Question 1 Determine which of the following functions are a bijection from the set of real numbers…

A: f(x) = x11 - 7x7 is not one-to-one, as           0 ≠ 71/4 but f(0) = f(71/4) = 0   Consequently,…

Q: For the following set of numbers, find the median. 27, 44, 40, 19, 24, 31 The median is 29. (Type an…

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Q: 5) Find the divergence of (√x² + + z 5) kî + yj vj + zk)

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Q: Find the area of region enclosed by a = t-t², y = t-t³, 0 < t < 1 using Green's Theorem.

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Q: y=−16t2 +48+6 When will the ball hit the ground?  quadratic formula

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Q: Consider an electron m moving along the line L: (x-3)/2=(y+1)/(-2)=z-1. At L As shown in figure. (A)…

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Q: A particle moves along line segments from the origin to the points (2, 0, 0), (2, 4, 1), (0, 4, 1),…

A: A particle moves along line segments from the origin to the points (2, 0, 0), (2, 4, 1), (0, 4, 1),…

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Q: g(x) rf (x) = - f(t)dt -f(x)

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Q: . The helix curve is 3 a(t) = (cost, 2 sint, 3). (a) Find the tangent vector T. (b) Find the normal…

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Q: uestion 25 uppose A is a 3x3 matrix with two distinct real eigenvalues a and b. No information is…

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Q: Consider the solid bounded by the planes x = 0, y = 0, and x + y = 2 along with z = 4 - (a) Write…

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Q: Given 30<t ₹2 10 elsewhere find Fw), the Fourier transform of ƒ(t). Compute the values of F(0), F(1)…

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Q: Consider the following double integral: 1 1 √y cos(y) dy dx x² If you need to use any theorems…

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Q: 3) A cylindrical hole is drilled along diameter of a sphere w/ radius R. Tk rady of the cylinder is…

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Q: 39-46. Definite integrals Use geometry (not Riemann sums) to evaluate the following definite…

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Q: Example(2): Find the Fourier Series of the following square waveform. 1 f(t) ооо оо -6л -5л -4П -3п…

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Q: Two posts, one 4 meters and the other 7 meters high, are 6 meters horizontally apart. If the posts…

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Q: QUESTION 1 Apply Green's Theorem to evaluate the integral. $ (6x + y3) dx + (3xy2 + 5y) dy Hint:…

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Q: QUESTION 5 Using Green's Theorem, compute the counterclockwise circulation of F around the closed…

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Q: 7. vdx + (2x+1-vx)dv = 0 2y x² ox

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Q: 1. A spring with a mass of 2 kg requires a force of 6N to stretch the spring 0.5m beyond its natural…

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Q: linearly independent If they are linearly dependent, find scalars that are not all zero s linearly…

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Q: 78-86. Variations on the substitution method Evaluate the following integrals. 84. (z+1)√3z + 2 dz

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Q: μ(n + 1)μ(n + 2)μ(n + 3)μ(n + 4) = 0 , if n is a positive integer

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Q: Your job is to determine whether i E M. Show your work.

A: As per the question we are given a recurring function defined as : fc(n)(z) = fc(fc(...fc(z)))  ,…

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Q: chap 12- 4 - please answer A

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Q: Consider the differential equation 5e2t t² y" - 4y + 4y = = (a) Find r1, 72, roots of the…

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Q: Obtain the solution of the following initial value problem using Laplace transform! y"+y=t, y(0) =…

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Q: Evaluate the following Laplace transforms by using the formulas listed in the table of Laplace…

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Q: Solve the system of linear equations using the Gauss-Jordan elimination method. 2x  +  y  −  2z  =…

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