Set X is convex if

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A: Ans: The derivative of the function f(t)=73+tant​ is f′(t)=7⋅(3+tant)76​sec2t​Explanation:Solution:…

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Q: How many positive integers n less than or equal to 11,347 satisfy d(n) 1 (mod 2)?

A: We need to find a number of positive integers n≤11347 such that d(n)≡1(mod 2) i.e., , k∈Z.So, we…

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Q: Find and classify all the stationary points of f(x1,x2)=3(x₁ + 8x₂) − 2(xí + x₂) + 1

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Q: When Vidalia onions are ready, the entire 13 county (plus parts of seven other counties) area in…

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A: gu(0,0) = (6, 6) gv(0,0) = (4, 0).Explanation:We can calculate gu(0,0) and gv(0,0) using the partial…

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A: Answers given belowExplanation:To find the learning rate, we can use the learning curve formula,…

Q: x²y" — x(x+2)y' + (x + 2)y = 0.

A: The ODE is given asTo answer for each part from a) to d).

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Q: Denote by Zm = {[0]m, [1]m, ..., [m1]m} the ring of integers modulo m. Consider the rings R = Z24…

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Q: Compute the Euclidean distance between the vectors u and v, below 1 -3 = 2 - Q - Q 1 = -2 distance =…

A: Problem 1:Distance=1 Problem 2:Distance= 70​Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Two well-mixed tanks are interconnected. Tank A contains 60 grams of salt in 40 liters of water, and…

A: Two well-mixed tanks are interconnected. Tank A contains 60 grams of salt in 40 liters of water.Tank…

Q: 1+ √3i 1+i 10

A:

Q: 6) Let y(x)=Σn-anx be a series solution of the nonhomogeneous ODE =0 y" - xy' - y = g(x), expanded…

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Q: ) If F(ƒ) = ƒ(§) is the Fourier transform of f(x), show that the Fourier transform of x f(x) is…

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Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: Therefore, the required answers are a) A′−6=0b) A(0)=13c) A=6t+13 Explanation:Step 1: Consider the…

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A: We will solve the system of equations.

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Q: (a) If a 7 by 9 matrix has rank 5, what are the dimensions of the four subspaces? What is the sum of…

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Q: Suppose that R₁ is a ring with addition +1 and multiplication 1, and that R2 is a ring with addition…

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Q: question a

A: Hi! Please see attached file. Thank you!Explanation:

Q: Find the charge on the capacitor in an LRC-Series circuit if L = 10 henry, R = 20 ohms, C = 0.01…

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Q: Suppose n is a positive integer satisfying σ(n) = 10n. Use this information to compute (the sum is…

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Q: 2. Apply the first phase of the 2-phase simplex algorithm to the following linear pro- gramme giving…

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Q: Approximate the volume of the oblique prism below. Round all calculations used in the solution to…

A: We find the area of baseWhich is triangle

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Q: 1. Consider R3 with the standard inner product where u = 3 = Σxili i=1 (x1, x2, x3) and v = (31, 32,…

A: A basis β={u1,u2,⋯,un} is an orthonormal basis of a vector space U iff <ui,uj>={0i≠j1i=jThe…

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Q: In Problems 15–28  find the general solution of the given higher- order differential equation. 23.…

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Q: (a) If a 7 by 9 matrix has rank 5, what are the dimensions of the four subspaces? What is the sum of…

A: a) A 7 by 9 matrix which has rank 5,The aim is to find the dimension of the four subspaces and what…

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: Question 1k=1.50662≈1.51Question 2P0​=13.86Question 3P(t)=284e1.51t−3.02Question 4t =7.41…

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: FINAL ANSWER: The value of P(t) is:  P(t)=1+3.04e−0.4t2300​  Thank You Explanation:STEP−1 Use the…

Q: f(x, y) = x(1+y) and D be the rectangle determined by the inequalities-15x S1 and 2 Sy≤4. Choose a…

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Q: 2 2 2 Consider the hypocycloid with equation y 3+x3 10 = 103 -10 -5 5 5 -10' 5 10 What is the arc…

A: The required arc length is 60 unitsPlease find the attached file for details...Thank…

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Q: Consider the 2D symmetric separable solutions Φn(r,φ) in cylindrical coordinates  Identify the…

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Q: Compute the following quantity where In is the natural logarithm function. Round to two decimal…

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Q: (a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: (a) The function f decreases most rapidly at point x in the direction opposite to the gradient…