Determine the Fourier series of a 2 π periodic even function!
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A: Solution Given: when x units of fertilizers produced, product price for one unit, p = 300 - 0.1x…
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Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…
A: First let xy be positive Then either both x and y are positive or both are negative If both are…
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A: This is the question from Linear Transformation.
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Q: Marvin has a Cobb-Douglas utility function, 0.5 0.5 his income is Y = $700, and initially he faces…
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Q: (x² + 2)y" + 3xy' - y = 0 23-7 a. y = a₁ [1 + 4.4! 8-6! 23-7 b. y = α₁ [x+ ²x³. + ·x7 8-6! 23-7 c. y…
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Q: Assume that is differentiable on a ≤ x ≤ b and that f (b) < f (a). Show that f' is negative at some…
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Q: 3. Rhadika earns $600 per week and lives alone in a 1-bedroom apartment. Her monthly rent is $550.…
A: Solution:- Given that, Rhadika earns $ 600 per week and we consider a 4- pay month. Therefore, total…
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Q: Determine the Fourier Series of f(x) = x, over the interval - < x < and has period 2 ! f(x) = Зл 4…
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Q: Find the Inverse Laplace transform of F(s) = 8Bs 7C (s + 3) (s - 4) (As − 1)
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Q: Your manufacturing plant produces air bags, and it is known that 5% of them are defective. A random…
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Q: L{tcost + sint} 3. 2s a. (s²+1) 2s b. (s²+1)² 2s² C. (s²+1)² 2s² d. (s²+1)
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Q: f(x) = |x|, −π<x< T 1-(-1)" a. f(x) = 2 Σ=1 sin nx n (-1)"+1 00 b. f(x) = 1 + ² =1 - 2 πT n² (-1)"-1…
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Q: (b) Find Fourier cosine transform of f(x)= 1 0<x< 1/ -1<x<
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Q: Given the following matrices 3 A = 14 3 1-2 D = 50-4 -4 5 3 Find the following 7. (2,1) entry of E-1…
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Q: Suppose TEL(V) has singular value decomposition given by Tv = $₁(v. e₁) f₁ +...+ Sn(v.en) fn for…
A: The problem is solved using the concept of singular value decomposition.
Q: torre 0 - cx Lo | 0 cx 23
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: Prove that the following statements are EQUIVALENT: For any sets A and B, a. ACB b. AnB = A C. AUB=B
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Q: Use Laplace transform technique to solve the initial value problem y' + By = g(t), y(0) = C 0 0 ≤ t…
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Q: 2. L{sin² = nt} 7² a. S³+π²s π² b. 772 2s3-2π²s π² C. 772 2s3+2π²s π² d. S³-π²S
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Q: Determine which of the following functions are locally Lipschitz, globally Lipschitz, or not…
A: Here we need to find wether given function is locally, globally lipschitz or not.
Q: 1. Let A & 2, 3, 4, 5, 6, 7, 83 and 9 and R a relation over A. Draw a directed graph of R after…
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Q: 2n+2 Σ (3k + 2n) = = k=0 = || ⠀ first step 2nd step 3rd step final answer
A: We know that 1+2+3+4+......+n is equal to n(n+1)/2
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Q: 3.) Determine the absolute and relative error that occurs when approximating the integral 32x² dx…
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Q: y" − (x + 1)y' - y = 0 a. y = αo [1 + ao 1 + ²/2 x ² *** + ¹ + ²√ xº + ··· ] + α₁₂ [x + · + ½ x +…
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Q: Find the solutions if k = 0 for kx +y +z = K² x + ky+z # -KM = 2 Kx + y kh
A: The given system is kx+y+kz=k2x+ky+z=kkx+y-kz=k2
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Q: Find the Taylor or Maclaurin series of the given function with the given point as center and…
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Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…
A: Here we use basic shell method.
Q: swer in polar form where r> 0 and
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Q: Given the functions: f(x)=x²-5 g(x)=x-2 h(x)= 2x² - 6x+5 x-2 Algebraically, determine k(x) = x) = (…
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Q: A B C D 57 49 -- 54 9 5 57 16 60 40 53 49 16 20 47 35 -- D 54 60 20 33 19 -- E 9 40 47 33 -- 4 F 5…
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Q: 4. The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…
A: Solution:- It is used to relate the three sides of the right-angle triangle, and the theorem can be…
Q: = xe²* is a solution to y' + ay — e²x = 0... 3. Find the constant a so that (x) = xe² 04 3 O 1 O -1…
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Q: 3. SET-UP the definite integral that will give the area of the region specified using (a) x as the…
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Q: Which of these are regular polygons? O Only Figure 4 O Only Figures 3 and 4 WHOO 00 Figure 1 Figure…
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Q: 2. Determine all the eigenvalues of the matrix G given below. Hence, obtain an eigenvec- tor…
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Q: 10. y" + 3y + 2.25y = 9t³ + 64, y(0) = 1, y'(0) = 31.5
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Q: Fournier series, given the function f(t)= x-x^2, -π≤x≤π (a) find the coefficient a5, and (b)…
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Q: Be V a unitary space and a, b belong to 7 its unit vectors to which scalar product (a, b) = 1/3 Then…
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Q: 4 Given that log 20.571, log 4≈ 1.141, and log 6≈ 1.476, find log n 4 log nr (Type an integer or a…
A: This question is from logarithm and its property
Q: 1. An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…
A: Solution:-The problem is an application of Maxima and Minima where we use the first derivative to…
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