Show that for any arbitrary real number a! ∈ ℝ, we have |∑ a!| ≤ ∑|a!| for i ∈ ℕ

Q: 4. f(x) = x + sin x, 0 < x < 2π 5. V(0) = sin² 0,-/2 <0</2

A: Critical points are those point at where either derivative of f(x) does not exist or f'(x)= 0 if it…

Q: Problem #7: Let y(x) be the solution to the following initial value problem. y dx - sec (7x) dy = 0,…

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Q: Find an equation of the sphere with center (3, -11, 6) and radius 10. Use an equation to describe…

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Q: 1- Consider the following Lineet Programming probl Maximize : C s.t In the name of GL Od 2=2+2x2…

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Q: a) 3π in 34 b) sec 4x 3

A: We have to find the exact value of the trigonometric ratio.

Q: For each scatter plot, decide what type of function you might choose as a model for the data. (a)…

A: We can understand the nature of a function using the first derivative as it tells us about the slope…

Q: Find the number of these patients that had either high blood pressure or high cholesterol levels,…

A: We need to find the number of these patients that had either high blood pressure or high cholesterol…

Q: A half range periodic function f(x) is defined by sin, 0<x< 1, i. Sketch the graph of even extension…

A: Given  A half-range periodic function is given by f(x) =sin x0&lt;x&lt;π21π2&lt;x&lt;π (1) To sketch…

Q: ind the accumulated amount A if the principal P is invested at the interest rate of r/year for t…

A: Answer given below.

Q: 3. Write different case of optimal solution.

A: Given Data: To write the different cases of optimal solution.

Q: FIND THE VALUE OF X, Y AND Z FOR THE GIVEN LINEAR EQUATIONS BELOW: SOLVE USING CRAMER'S RULE 6x + y…

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Q: Find/simply the following. Please show your work. (a) e- In t (b) [te-¹ dt

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Q: Find the divergence of each of the following vector fields at all points where they are defined. x *…

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Q: Use the graph shown to find the following. (a) The domain and range of the function (b) The…

A: Graph of the function is given, we have to find its domain, range, intercepts and its asymptotes.

Q: 5. Use a truth table in canonical form below to show that (p ^q) and p^¬q are not equivalent. Feel…

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Q: F(t) = at ² + b ² + c + X (2,7) (-1,9) f(3) = 2 +0+40 2 823)=9 f(-1) = -5 f(2)=4 a(2)² + b (2) + <=…

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Q: Find the inverse Laplace transform L-¹{F(s)} of the function 2 F'(s) s² + 5s 6 NOTE: The answer…

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Q: 3. Expand the function f(x) = x (4-x²) in the interval -2 ≤x≤2 and period f(x+4)= f(x) to the…

A: Answer given below.

Q: Assume that an electricity tariff in Malaysia is defined by the function 2x 1-3x² E(x)=- is…

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Q: Let's double-check our understanding of set operations (a) Is P(AUB) = P(A) UP(B)? (b) Is B - (B-A)…

A: Given statements are ΡA∪B=ΡA∪ΡB and B-B-A=A. To determine whether the given statement is true or…

Q: LL Pea stores clothes at five different locations. Severaltimes a day it sends an “order picker” out…

A: The scenario of the order picker of clothes of LL Pea stores is given.We need to describe a TSP that…

Q: f(x) = 2x + 1 X x - 3

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Q: Consider the vectors u-(1,0,0), v=(2,0,0),w=(0,1,0), z=(0,0,1). Select all true statements below O…

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Q: Find the general solution of the following differential equation: a) t * dy/dt = (1-y^(2))^(1/2).…

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Q: 17. F(x) = 2x² + cos²x

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Q: A company produces a special new type of TV. The company has fixed costs of $497,000, and it costs…

A: Given Data: Let us consider the given data, Fixed cost of company: $497000 Cost of production of…

Q: The Fourier transform of a derivative of a function f(x) is simply related to the transform of the…

A: Let the Fourier transform of ft is Fw then the inverse Fourier transform of Fw is ft .…

Q: 4) Using Euler-Lagrange equations, find th and ag ?

A: The Euler-Lagrange equations are a set of partial differential equations that are used to find the…

Q: D4 +D²) y = -12 ind the particular solution using inspection and show tions for my review.

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Q: (2) Let's double-check our understanding of set operations (a) Is P(AUB) = P(A) UP(B)? (b) Is B -…

A: We have to solve given problems:

Q: (a) If Meta's earnings report shows a profit and the stock market is bullish, then I will buy more…

A: The answer provided below has been developed in a clear step by step manner.

Q: lim n→∞ O True O False n²+72n5 n5-2n+2n³ = 6

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Q: the 12 Generalize geometric construction to show that if V₁ = (x, y, z) and V₂ = (x, y²₁ 2') y, z)…

A: Given: v1=(x, y, z) and v2=(x', y', z'). To do:  12) (a) Generalize the geometric construction to…

Q: Find the pre-image of (6,-1), given that L(x,y) = (2x, y-x). O (1,5) (3,2) (-2,3) (2,0)

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Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. + y = f(x), y(0) =…

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Q: 1 2 3 4 56

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Q: 1- Consider the following Linear programming prob Maximize : 2 = 2₂₁ +22₂ s.t x+2×₂510 T *2 ≤4 a.…

A: Given lpp     Maximize: z=x1+2x2               sub to   x1+2x2⩽10…

Q: a₁ a₂ a3 az b₁ b₂ b3 = 5. C₁ C₂ C3

A: We have a1a2a3b1b2b3c1c2c3=5 Note- If any two rows are columns are same then its value is 0.

Q: Please prove: For every positive integer n, if A_1, A_2, A_3, ... and B are any sets, then n n(A₁-B)…

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Q: Macmillan Learning Using geometry, evaluate the integral such that the graph of f is shown. 5 1²…

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Q: ... What is/are the critical point(s) or domain endpoint(s) where f' is undefined? Select the…

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Q: When we say we have described the universe, integrated it, or discovered something universal, what…

A: We have described the universe, integrated it, or discovered something universal, what exactly do…

Q: 6 Use the Big M method and the two-phase method to find the optimal solution to the following LP:…

A: The given LP is: max z=x1+x2 s.t. 2x1+x2≥3    3x1+x2≤3.5x1+x2≤1x1, x2≥0 We have to find optimal…

Q: Problem 10. Find a parametrization of the curve of intersection of x=and y= sec(z) from (1/2, 1, 0)…

A: Due to Bartleby answering guidelines I have solved only first question (Problem 10).

Q: Given cost and revenue functions and C(q) = 115q + 31000 and R(q) = -3q +30009 ow many items must…

A: We know profit function Pq=Rq-Cq we are given Rq=-3q2+3000qCq=115q+31000

Q: 6. Tell whether the following two expressions are equivalent by constructing their truth tables in…

A: Given that  the  statements p∨q∧r and p∨q∧p∨r    .

Q: Write down the five integrals that are equal to the following integral [ f f f ( ², 0, ²) f(x, y, z)…

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Q: Exercise 2 equation: dy/dt = y^2 - 4y - 12

A: Given differential equation is: dydt=y2-4y-12; y0=1, y1=0, y0=6, y0=5. We have to sketch the graphs…

Q: Use the formula for the effective rate (annual effective yield) reff = (A/P)1/t − 1 where P is an…

A: Given: Here are the given data, Initial investment, P=$50000 Accumulated amount, A=$60000 Time, t=7…

Q: Carlos invested $3,000 in a money market mutual fund that pays interest on a daily basis. The…

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