Expand f(x) = cos 0 < x < π, in 3. a Fourier sine series. In addition, indicate when the Fourier series is convergent and what the series converges to by graph.

Q: All college freshmen will gain 15 pounds. Susan is a college freshmen. Therefore, Susan will gain 15…

A: We have to test the validity of the given arguments: All college freshmen will gain 15 pounds.Susan…

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Q: directrix is x=2 and has a focus at (4,9).

A: Here we apply distance of any point of parabola from directrix and focus is same. We took a general…

Q: Prove that : a-l [xª-¹*m ₂F ₁(a,b;c;x)]=(ª)_xª~¹ ₂F₁(a+m,b;c;x) [.

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Q: Solve and show the complete solution. 5. A column is composed of a regular octagonal prism…

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Q: 3 6 [12] (a) Find the determinant of A. Let A det (A) - (b) Find the matrix of cofactors of A. C =…

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Q: Determine whether the set of vectors orthonormal, or neither. O orthogonal O neither {(√².₁. √²)( √6…

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Q: rithmetic progression, a, G₁, G₂, b are gression and a, H₁, H₂, b are in harmonic G₁G₂ A₁ + A₂ (2a +…

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Q: d²x d1² ß dx m dt k +1=0 m

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Q: 1. Given that f is the function defined by f(x, y) = 2¹+y²-²-2y, determine the relative extrema of f…

A: The given problem is to find the relative extrema of the given function of two variables…

Q: F Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 34 ft long. She wants to leave…

A: Let, the width of the uniform strip be m ft.  Then, length of the rug = (34 - 2m) ft.…

Q: 3) d²x cl+²2 Now + 8clx dt (D² + 80 +25)X = 10 ult) u(t)=0 when, + 20 2 (0² + 80 +25) x = 0…

A: For first part, We know that series of (1+x)-1 = 1 + x + x2 + ... Using this we expand where x =…

Q: H 4.) f(x)=x+3(1-x)% yos litrobl .nweb

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Q: (Linear Functions MC) An online streaming service that offers TV shows, documentaries, and movies…

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Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

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Q: Let the terms a1, A2, A3, an be in G.P. with common Let S denote the sum of first k terms of this…

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Q: Use Green's Theorem to evaluate: S.E. F.n ds where F = (√x + 4y, 3x + 4y) and C' is the boundary of…

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Q: Question 5. (a) Find a vector function that describes the curve of intersection of the cylinder x² +…

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Q: 7) y = 1 2 sin (20 + 150) - 1 60 120° 180° 240° 300° 360 8) y = 4sin 4sin (+45)+1 A 180° 360° 540°…

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Q: the form of the partial Fractions expansion of the rational Function X (x² +1) (X²-4) a) none b)…

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Q: Use Green's Theorem to evaluate Ta F. dr, where F = (√x + 6y, 5x + √ÿ) and C consists of the arc of…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x − y subject to the…

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Q: Iff is a function satisfying f(x+y)=f(x)=f(y) for all x, y = N such that f(1) = 3 and ƒ(1) + f(2) +…

A: The given problem is find the value of n for which f(1)+f(2)+...+f(n)=120 if f(x+y)=f(x)f(y) and…

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Q: Are the following statements true or false? ? ? ? V v V 1. If a graph has a vertex of degree 3, then…

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

Q: x₁ + x₂ + +x. Prove that -x₁)(1+x₂)... (1+x) ≤1+S+ ... S² S³ + 2! 3! +...+ uS - n!

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Q: Consider the parametric curve: X=10ml, 9-10 cos 0, 0204T the Curve is part of a circle 6 the…

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Q: If 2 T 0 sin (3 x) sin (n x) dx = π, then n = Number

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Q: 3. A function f: D→ R is called a Lipschitz function if there is some non-negative number C such…

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Q: Let X denote the amount of space occupied by an article placed in a 1-ft³ packing container. The pdf…

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Q: y" + y = 8 (t — — ), y (0) = 1, y' (0) = 0 Find y (3). (sqrt(2) means √2) O sqrt(2)/2 O-sqrt(2)/2 00…

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Q: There are (4n+ 1) terms in a certain sequence of which the first (2n+1) term form an A.P. of common…

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Q: How many gallons of a 90% antifreeze solution must be mixed with 70 gallons of 20% antifreeze to get…

A: Let, x gallon of 90% antifreeze solution is mixed with 70 gallon of 20% antifreeze solution.  Then,…

Q: Taylor Series For F(x)=x3 at -4 is Ch(x+4)" C2= C3= Σ Find First Few Coefficients: Co = C₁ = C4 =…

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Q: fis a function satisfying f(x+y)=f(x)=f(y) for all x, y = N ch that f(1) = 3 and ƒ(1) +ƒ(2) + ... +…

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Q: Suppose you are interviewing 25 people in order to fill 5 job vacancies. How many possible choices…

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: Consider the vector field F = Is this vector field Conservative? Conservative lá (6x + 4y, 4x + 3y).…

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Q: If an earthquake is 700 times as intense as a 0-level earthquake, what is the Richter scale ranking…

A: Given that the earthquake is 700 times more intense than the  as zero level earth quake

Q: 5) (using Euler's Criterion (Assume g is a primitive root modulo p where p is an odd prime.)

A: As given in the hint we use the Euler's criterion and the definition of primitive root for solving…

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Q: Evaluate by converting to cylindrical coördinates. 3. The volume of the solid enclosed by z = 36 -…

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Q: 2. Audrey and Lauren began reading a novel on the same day. Audrey reads 18 pages a day and Lauren…

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Q: Let f(x) = x² - x. (a) Express (x²-x)dx as limits of Riemann sums, do not evaluate the limit. (b)…

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Q: Estimate the area under the graph of the function f(2)=√√2+5 from z=-3 to z = 4 using a Riemann sum…

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Q: Compute the radius of convergence of the following power series: Σ0(-1)".

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