Find the necessary and suffiecent condition that the vortex line may be at right angels s to be the stream lines.

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Q: 20 Name Another Look! If a truck travels 9.5 miles on 1 gallon of fuel, how many miles will the…

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Q: Example. Solve the system by Gauss (No solution) X y + 2z -3x 2y 2x + 3y Z Z 4 -7 4

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Q: Prove using inductions

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Q: Warm up Wednesday (10/19) 1) Dilara is designing a kite ABCD on a set of coordinate axes in which…

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Q: Prove that, for n = 1, 2, ..., we have 1 1 + 1.2 2.3 +...+ n(n+1) = n n+1

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Q: Let y(t) be the solution to y = 4te satisfying y(0) = 2. 0.2 to approximate y(0.2), y(0.4), ...,…

A: The step by step solution by using Euler method is given as follows.

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Q: The sum of the present value of 1 paid at the end of n periods and 1 paid at the end of 2n periods…

A: The sum of the present value of 1 paid the end of n periods and 1 paid at the end of 2n periods is…

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A: Given that, 5 people can claim joint ownership of an item and divide it by the method of sealed…

Q: Sketch or graph the given function, which is assumed to be zero outside the given interval.…

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Q: 2. Solve y" - y = 0 as we did earlier in the course. Then, find two linearly independent power…

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Q: Determine if the following statements are true or false. If true, prove them. If false, find a…

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Q: et T: R³ R³ be the linear transformation that projects u onto v = ( =(2,-1,1). Find T(x, y, z) )…

A: Linear transformation matrix and rank nullity of T.

Q: Draw the group tables for the following group: {1,2,3,4,5,6} under × mod 7. List all the inverses…

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Q: Jess bought a car worth $22,348. Her car lost 11 % its worth per year for 6 years. Create the…

A: The exponential depreciation is represented using the equation: f(t)=a1-rt, where a is the initial…

Q: (b) Let R be the region bounded by y = x², and y = x + 6. Sketch the region R and evaluate ff* dx…

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Q: Example. Solve the system by Gauss (Unique solution) X y + 2z 4 3x + 2y = 3 2x + 3y 3 N Z = =

A: Total Equations are 3x-y+2z=4→(1)3x+2y-z=3→(2)2x+3y-z=3→(3)Converting given equations into matrix…

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Q: Write the equations of two lines such that the system of equations has a solution at point A and so…

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Q: Which of the following are subgroups of the group Z×11: {1,3,4,5,9}, {1,3,5,7,8}, {1,8},  {1,10},…

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Q: Fermat's Little Theorem says that for all natural numbers p and integers x, if p is prime then x² =…

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Q: A continuous-time LTI system has impulse response et, -{ h(t) = 1<t<2, 0, otherwise. (a) Using…

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Q: Example. Solve the system by Gauss (In. many solution) + 2z 4 7 3 X y 3x + 2y + Z 2x + 3y - N =

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Q: The form of the partial fraction decomposition of a rational function is given below. A = B= -00-0 C…

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Q: 1. Let C be an [n, k] code over F2 that can correct two errors. Use the sphere packing bound to…

A: It is given that C be an n,k code over F2 that can correct two errors. It is required to prove that…

Q: or Falsy? : f¹(AUB) = f'(A) f¹(B) 170 Тимо 1 Faise

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Q: T: R³ R³ be the linear transformation that projects u onto v=(2,-1,1). Find T(x, y, z) Find A, the…

A: Linear transformation and associated matrix

Q: Let A be a matrix whose singular value decomposition is given by [0.4 -0.4 -0.4 -0.4 0.6 0.4 [100…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Proving Sequents Using only the Primitive Rules of Proof, prove each of the following sequents.…

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Q: (a) Suppose f() has a gradient at x ER". For any v ER", show that f'(x; rv) = rf'(x; v) for any r >…

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Q: Which of the following could be the graph of a solution to the differential equation dy dx A. B. C.…

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Q: Show that if v is orthogonal to both w1 and w2, then v is orthogonal to k1w1 + k2w2 for all scalars…

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Q: Let F = {0, 1, x, y, z} be a field with 5 elements. Given that x y = 1, find x . z.

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Q: Let U = { 12, 13, 14, 15, 16, 17, 18 }, A = { 12, 13, 14, 16}. Use the roster method to write the…

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Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

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Q: Given the figure below Y(t) 2 0 -3 -2 -1 1 2 3 1.) Formulate the trigonometric form of fourier…

A: A signal sampled in time or space is transformed using the Fourier transform mathematical…

Q: r(t) = (5 cos (t), 5 sin(t), 3 sin²(t)) at t ¹ (7) = ㅠ 4

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Q: Find the central angle that has an arc length of 52.3 inches and a radius of 7.4 inches. (A) 387.02…

A: We are given arc length and radus then we have to find the central angle.

Q: f(x,y)= 3xy / (x^2+ 2y^2) find the range and graph

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Q: What is a ring homomorphism in simple terms?

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Q: If f(x)=x^2 −1,g(x)=2x−3, find the following new functions, as well as any values indicated A)…

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Q: Which of the following is equivalent to A 2 sin x 1-sin ²x B 2 sec ² x 2+2 sin .x 1- sin².x 2 cos²x…

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Q: Let (n) be a convergent sequence with lim (n) = x > 0. Prove that there exists an N EN such that <…

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Q: (c) If w EC is a solution to the equation z² equation 2222222 = πe-in/11 222 = πе¹/ then wis a…

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Q: Exercise II.6. Suppose f(): R → R is differentiable. (a) Suppose f(-) is convex. Show for any x, v €…

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Q: Use euler method with the given step size to estimate y(1.4) where y(x) is the solution of the…

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Q: Scenario 1: Start working with a $10,000 bonus and then have your boss pay you 10,000 for 3 full…

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Q: 2. Let a be a real number, and consider the function h: (-∞, a) U (a, ∞) → R defined by h(x): A. The…

A: We will use the results from the part A and part B.