Need help with the last 2 I'm pretty sure the first one is correct

Q: 1. "Let fE a[a, b]. For x E (a. b), set F(x)=ff. Prove that F is continuous on [a, b].

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Q: of and for the functions: dx dy H.W: Find 1. f(x, y) = (xy-1)² 3. f(x, y) = (x²-1)(y + 2) 2. f(x, y)…

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Q: yacht starts from a harbour and sails for a distance kes a turn to port (left) of 38° and sails for…

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Introduction: A rate of chage is the ratio of two related quantities in different units in…

Q: 2- Sin(x) dy dx ty Cosx Ex Sinh

A: As per our guidelines we are supposed to answer only one question and rest can be reposted Given:…

Q: 3 cose and outside r = 3

A: Given: equation of the curve 3-3cosθ & r=3. To find: Volume of region enclosed by given curve.

Q: 2. Prove that the following infinite series diverges. Σ(-1)*. k=1 (Hint: write down the first few…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: The volume of a solid S in polar coordinates bounded by the surfaces z1=f1x,y and z2=f2x,y can be…

Q: c{(a,b), r} circle of center (a, b) and radius r 2 2 (x-a)² + (x−b)² = r² Convert to polar…

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Q: Calculate the arc length of the cycloid x(t)= a(t— sint), y(t)=a(1— cost), telo 201 a

A: Introduction: The distance between two places along a portion of a curve is called arc length.…

Q: Let f(x) = 2x² - 4x + 5. Use the € – 8 definition to prove that lim 2x² - 4x + 5/8. x→-1 Definition.…

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Q: A 2³-2 design was used to investigate the effect of A = condensation temperature, B = amount of…

A: Since, you posted multiple questions, we will solve 3rd question for you.

Q: 8. Let a be the plane that goes through the origin and has normal (1,2,3) and let 3 be the plane…

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Q: use Newton’s Method to find the root of the given equation, accurate to six decimal places, that…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: Starting with the given fact that the type 1 improper integral dx converges to p-1 1 when p>1, use…

A: Value of type-II improper integral

Q: Given z = arctan (), Find az/ay

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Q: Evaluate the iterated double integral JI-X² ( [√x² sin (x² + y²) dz dy dx

A: A a couple of imperative is a specific imperative of a characteristic of numerous actual variables…

Q: In a population of 200,000 people, 60,000 are infected with a virus. After a person becomes infected…

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Q: WRITTEN ONLY PLEASE FOR

A: Given,      ∫032-x+xdx

Q: Compute the volume of the solid that results when the region enclosed by the curves is revolved…

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Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by -H<x<0 f(x) =…

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Q: dy + 2xy = 1 1- (x²1) dy dy dx

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

Q: 9. A carnival attraction tests your strength by how far in the air you can drive a weight with a…

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Q: Use the fourth-order Heun and Runge Kutta methods to approximate the solution to the problem dt = 2²…

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Q: 1. Transform the unit square under 0 1 0-1 cos 45 sin 45 -sin 45 cos 45 10 03 Say what each…

A: To find: the transformation of unit matrix under given matrices.

Q: Consider the following LP problem: max 4x₁ + 3x2, subject to 3x₁ + x₂ ≤9, 3x₁ + 2x₂ ≤ 10, x₁ + x₂ ≤…

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Q: A new factory worker is put to work assembling gadgets. He is fairly slow at first, but over a…

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Q: f(sin 3B)(cos3 B)4dB Apply the transformation method

A: Introduction: Integration is accomplished using the reduction formula. Integration by reduction…

Q: X 1 4 7 9 11 f(x) 12 -23 -15 33 -13

A: The given set of data is                           x f(x) 1 12 4 -23 7 -15 9 33 11 -13…

Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by THAXNO f(x) =…

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Q: 1- Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy -2y=x 3 dx dx

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Q: 3. Let R be the region below bounded by the parabola y = 4 - ²2 and the lines 3x - 2y + 3 = 0 and y…

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Q: (D² - 4D + 4)y = 0; when x = 0, y = 1, Dy = - 1.

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Q: Let F be a field of characteristic not equal to 2. Let D1, D₂ € F, neither of which is a square in…

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Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw respect to t (dr), with x =…

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Q: Description of task. 7. This is a method which involves using an iterative formula. You must…

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Q: Using the given data. Compute f"(1.8) at O(h2). X Y 1.0 2.9170 1.2 9.2005 1.4 20.5173 1.6 38.0675…

A: The difference table is  x y △ △2 △3 △4 1.0 2.9170             6.2835       1.2 9.2005…

Q: Find the interval of convergence for The interval of convergence is a E n=0 (x - 4)" 2n

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Q: The terms T₁, T₂, T,,T,,T, of a sequence are given as follows: T₁ = 1=1 T₂ = 3=1+2 T₁=6=1+2+3…

A: The general formula for the sequence is already calculated as Tn=12nn+1. Use this formula to…

Q: Find the inverse Laplace Transform of 3(S-1) A. 3(cost + sint) B. (S-1)²+1 3s s²-2s+2 C. 3(S-1)…

A: We will use table of Laplace transform

Q: II. Evaluate the following integrals: 1. fe²dx 2. 11 tedx J 1+ 3. fx'e* dx e√x+1 √y +1 4. S dy

A: We have to evaluate the given integrals.

Q: real root of 2 cos - int Iteration Method with cimal places. Use an error nificant figures. To get…

A: (2) The function given is as follows: 2cosx3-sinx=14⇒fx=2cosx3-sinx-14 We will rewrite the above…

Q: Question 1. Given the following graph G = (V, E): (a) Compute the eccentricity of all nodes. (b)…

A: We Know that,  Eccentricity of a vertex is the maximum distance between a vertex to all other…

Q: Question 3. Given the following graph G = (V, E): 11 10 2 M 12 13 We define a function AUT(x) as…

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Q: Construct a truth table to verify the following implication. p⇒pvq Construct a truth table for the…

A: p⇒p∨q

Q: 8. Using the Runge-Kutta method of the fourth, solve y" = y + xy', y(0) = 1, y'(0) = 0 to find…

A: We take y'=z the Given equation is y''=y+xz,y(0)=1,y'(0)=0,y(0.2)=?…

Q: Compute the missing terms in the arithmetic sequence. -38, 562, ...

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Q: Dr. Grey would like to place her savings into two different investments; MoonLife Financial at 7%…

A: let the initial savings be A she invested a part of A, and left with 125,000 ⇒A-x=125000 let be m…

Q: You are given a system A * v = 0, where A is a known matrix of size M x N (with M >= N), v is an…

A: Please see the attachment

Q: Find area inside 3 - 3 cos 0 and outside r = 3 C

A: Introduction: The polar coordinate system is another coordinate system. In this system, a particle…