dy dx 2²+1, y(1) = 0. X

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Q: (a) Suppose f(z) = u(x, y) + iv(x, y) is entire. Suppose we know that u(x, y) = x5 10x³y2 +5xy¹.…

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Q: T Find the surface area of revolution about the x-axis of y = 2 sin (2x) over the interval 0 ≤ x ≤

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Q: Find the direction cosines of the vector v = -21-8ĵ+2k Give your answers in exact form i.e. in terms…

A: We have find the direction cosines of the given vector.

Q: Approximate the mean for following GFDT. Data Frequency 40-44 1 45-49 1 50-54 3 55-59 60-64 65-69…

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Q: 1.13 Let the numbers 9₁,92, 93,... be defined by 91=2, gn = 3qn-1 - 1 (n ≥ 2). Show by induction…

A: Mathematical induction is a method of solving mathematical problems. This method has 3 steps:(1)…

Q: Calculate the value of x+y+z where x = 48.1, y = 77, and z= 65.789 Calculator result: Result rounded…

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Q: Are the vectors 1-3x - x², 9x2 + 4x² and 3 - 13x - 6x² linearly independent? choose If the vectors…

A: The given vectors are  and .The objective is to find whether the vectors are linearly independent or…

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A: To approximate the temperature of the body using Euler's method, we need to use the formula derived…

Q: 1. Use the proof that m* ([a,b]) =b-a for real numbers azb. Use this to prove the same is true for…

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Q: Solve the system using elimination. x= y = 2= -6x 5x 4x -5y +3z -2y-6z +3y -4z = -45 33 37

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Q: Store B is selling the laptop for $425 and has a discount coupon for 25% off. Calculate the amount…

A: The objective of the question is to calculate the amount of discount provided by Store B on the…

Q: = Let F: R2 R², G: R2-R2 be defined by r cos(0) r sin(8) F(r,0) = G(x, y) = 2xy and let H = G. F.…

A: The differentiation of composite functionLet H=G∘F then H′=G′(F(r,θ))F′(r,θ)

Q: Suppose that u₁ and u2 are vectors with ||u₁|| = 2 and ||u2|| = 3. You are also given that u₁ · U₂ =…

A: Given that  and  are vectors such that .Given that  and  for .We need to find  for .We need to…

Q: Find the general solution to the homogeneous equation Ax = o for the matrix Are there any nontrivial…

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Q: Solve u'(t)+u(t)=−5 subject to u(0)=1.

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Q: Initial value problems are only linear. O True O False y" and dy/dx are two ways of saying the same…

A: Initial value problems are not exclusively linear. They can be applied to both linear and nonlinear…

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Q: Solve the following problems as part of homework: 1. State whether or not the following triangles…

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Q: The price of chocolates increased from $12.99 per pound to $14.99 per pound. What is the percent…

A: The objective of this question is to calculate the percent increase in the price of chocolates from…

Q: Consider the vectors ------ = 5 = -5 Are these vectors linearly independent? Yes No V3 = = If not,…

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Q: Apply Stoke's theorem to the square region in the yz plane with coordinates (0,0), (1,0), (1,1),…

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Q: Solve and choose the graph that represents the solution. x²y" + xy +9y = 0, y(1) = 1, y' (1) = 2.5

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Q: Do not use MatLab or Octave. Show all work 1) Let A = (2, -3), B = (3, -1), and C = (6, 3).…

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Q: rt rt+1 · A dynamical system is given by rt+1= cobweb plot tool on the course website to sketch…

A: The given discrete dynamical system isConsidering , we take .

Q: Let D= {1, 2, 3, 4). Give an example of a relation W on D such that W is anti- symmetric but not…

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Q: Prove that finite sets A and B are disjoint if and only if |A| + |B| = |A ∪ B|. Use the definition…

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Q: Problem 3. The following function T has an inverse. Find the inverse of T. I.e. find a function S:…

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Q: 1) A large tom k initially contains 50 gallons of brine in which there is, dissolved 10 fb of salt.…

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Q: Derive Laplace transforms of the input signals shown in the figures below by summing component…

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Q: Find the differential of the function. R = aß6 cos(y) Bocos (y) dR = )da +(6aß cos(y) )da +( aß sin…

A: We will find the differential of the function.

Q: Put the differential equation find p(t) and g(t). p(t) = g(t) = = ty' (t³ + 8)y Answer: Choose ty'…

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Q: Equip R2 with addition, and scalar multiplication, Ⓒ by ( ² ) Ⓡ (8) = (² + 6 + ¹ ) and CO (²) = (a +…

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Q: a. f (x) = 4x + sin(x) - e* = 0

A: The objective of the question is to find the root of the equation f(x) = 4x + sin(x) - e = 0. This…

Q: Calculate the dot product, of u and v, where u = 58 î - 75 ĵ + 12 k and 34 Î – 73 ĵ - 97 k. = u.v=

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Q: Problem 5. Define a function d: R²×² → R by show the following equalities: (i) for any scalar r ER,…

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Q: Let A(x) and B(x) be abstract predicates. Which of the propositions below are equivalent to the…

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Q: Convert the following numbers into base ten. 和和和和和和和和和和 (a) 42five (b) 44six (c) 410five (d)…

A: According to the given information, convert the following numbers into base 10:

Q: | z2 + x²y3 + xyz = 0 Find у дz ду əx

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Q: You want to study the car traffic on the road-map of London. Which type of network best represent…

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Q: Use the chain rule to find az as az at = Z= sin (0) az as az at r=st, 8 = 5³ + t² and

A: The objective of this question is to find the derivative of z with respect to t using the chain…

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Q: Your prank war has continued to accelerate. You decide to cover your friend's car with post- it…

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Q: Let u = 4 h = V= and w= 1 . For what value of h is w in the plane spanned by u am

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Q: A spherical drop of water in air evaporates with a speed proportional to its surface area. If R is…

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Q: Maryam scored an 8 out of 10 on her spelling test one week. The next week, her score decreased by…

A: The objective of this question is to find out Maryam's score for the second week after it decreased…

Q: Consider the line with parametric equations x = 3+2t y = 6 -3t z = 1 - 6t. (L) (a) Prove that P(3,…

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