Give an own easy example of fourier series odd function and why it is equal to 0.

Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

A: Given that water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. And the…

Q: Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂ = 1, and Fn+2= Fn+1 + Fn. - Fn =…

A: Introduction: In mathematics, a recurrence relation is a significant connection that expresses the…

Q: If ß is such that sin 230, the of the following two values?

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: Population of a certain bacteria in a laboratory sample is 100. It doubles every 6 hours We have to…

Q: Write the general conic

A: The standard equation of horizontal ellipse centered at h, k with semi major axis length a and semi…

Q: Find the units digit of the number 73603

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Q: 1. If f(x) = x³ + x is a periodic function with period 2π, then the Fourier series will have the…

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Q: dx Show that a solution of the differential equation is y = (1 + 2x) sin3x Sketch the graph of y(x).

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

Q: 1. f(x, y) = 4x² + 2y² + 5 subject to the constraint x² + y² - 2y = 0

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Q: 2. Consider the matrix A = - (-₁-1) Y.. -9 guarantees: (a) that A has two real eigenvalues? (b) that…

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Q: Find the remainder when 7305 is divided by 5

A: to find the remainder when 7305 is divided  by 5 is given as follows

Q: Translate the phrase to mathematical expression. "The total of the square of a number and the…

A: Let x be a number, we have to write the mathematical expression of " The total of the square of a…

Q: The differential equation dy cos(x)- y² +9y+ 20 4y + 17 da has an implicit general solution of the…

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Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

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Q: Section 3.4 (a) find the general solution; (b) determine if the origin is a spiral sink, a spiral…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Here the given implicit function is                                          x3y2+xy3=2x2 We have to…

Q: · f(x, y, z) = x² + y² + z² subject to the constraint 0 = x² - y² + 1

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Q: 1. dy dx x + y x

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Q: The volume for solid of revolution between the curves y = √49-x² and y=0 around the x-axis is (26/3)…

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Q: Evaluate D = ܘ ܚ ܘ ܝ ܩ 2 7 -8 6 4 4 9 -2 -3 3 ܩ 9 5

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Q: dy +1=_Y --- dx with initial conditions y = 1 at x = 2.0, produce a numerical solution of the…

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Q: 17-18. Find the constant of variation and the equation of variation given that y varies jointly as x…

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Q: 2. If f(x, y) = log (x² + y²), then f +f, is equal to XX yy 1 (a) (b) 0 + y 2 x² - y² y²-x² (d) 2…

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Q: 5. If d varies inversely as the square off, and f= 3 when d -15, find the value of f when d = 24.

A: According to our guidelines we have to answer the first question if multiple questions are posted at…

Q: Use the definition of the Laplace transform to find (f(t)). (Write your answer as a function of s.)…

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Q: Divide a straight line into two parts, so that the rectangle contained by the whole and one part may…

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Q: Evaluate the integral [[[var !!! y² dv where G is the solid in the first octant that lies below the…

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Q: 5. dy 4y-3x 2x-y dx

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Q: 3. (tan 45°) (cos30°) - (cot45°) (sin 60°)

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Q: 3n+ 5 n+3 Consider the sequences {an}1 and {bn} defined by an converge to 0. and bn which both n² n1…

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Q: Let A be an n x n matrix. Let n-1 c(z) := det(zIn − A) = 2² - Σckzk - k=0 be the characteristic…

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Q: Evaluate D = ܚ ܘ ܝ ܗ 2 4 7 9 -2 -8 -3 695 ܗ ܗ 4735

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Q: Show that the integrating factor is secx. Hence, show the full steps to solve the linear…

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Q: 2) If tan (0) = -1.48, find cot 1 cot ( 12-0).

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Q: Use Laplace transform to solve the partial differential equation: d'y dy ox² at -+xt where y(x,0) =…

A: The given P.D.E is ∂2y∂x2=∂y∂t+xt where yx,0=0, y0,t=0 and yx,t is bounded for t>0 and x>0. To…

Q: The dollar menu at your favorite tax-free fast food restaurant has 7 items. You have $14 to spend.…

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Q: Some values for a relation are given in the table. Is the relation a function? Domain: 29 5 7 73 45…

A: Given- Some values for a relation are given in the table. To find- Is the relation a function?…

Q: 5. Solve y" - 3y' + 2y = 2et, y(0) = 2, y'(0) = -1

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Q: Prove that the symmetric group (S₂, 0) is abelian.

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Q: Theorem 9. The following statements regarding the set E are equivalent: (i) E is measurable. (ii)…

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Q: Find a power series solution of y" + (1+x²)y = 0 13 a. a₁(1—½x². •x² +· x6+) + a₁(x − x³ - 2x5 + 24…

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Q: Show that Consider the Fibonacci numbers {F} defined by F₁ = 1, F₂=1, and Fn+2= Fn+1 + Fn. Fn =…

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Q: 3] Use determinants to find the values of X, Y, Z, W, M. 26 14X7Y+5Z - 11W + 21M = 33 -3X + 5Y-13Z -…

A: We have to find the values of X, Y, Z, W, and M using determinants.

Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² = 4…

A: The general form of the parametric equation of the curve in three-dimensional space is given by…

Q: (b) for 3-3x³ dx

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Q: In a certain habitat, the deer population (in hundreds) as a function of time (in years) is given in…

A: Introduction: The restriction of a feature is a key perception in calculus and evaluation that…

Q: Solve d'y dx² cot x dy - sin² sin²x.y - dx = cos x - cos³ 3 OHS X.

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Q: 5. A = 1 0 1 0 1 2 -2 0 0 0 2 1 3 1022 2 -2

A: To find the inverse of given matrix A using Gauss Jordan Method we will use the identity matrix of…

Q: Find the So. for each of the following sequences. 16 32 i) 20, 8, ****** 5' 25' 3-3 " 4 16 ii) 12,…

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Q: Use the Euclidean Algorithm to a. Find the GCD of (5610, 8778) b. Express the GCD as a linear…

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