The graph of f(t) is given in the figure. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally. f(t) =

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A: We have to find population of Christchurch last year using given data.Concept/Formula required:For

Q: Evaluate the following: -1 x-1(x+1) xả-5x-20 x-5 x²-4x-5' x-5 lim x-5x²-10x+25² i. lim ii. lim iii.

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Here are the ages (in years) of 10 professors at a college. 43, 73, 37, 56, 47, 65, 51, 35, 44, 48…

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Q: [y(4)]² + 4 y™ + 3 y² + 2y² = cos3x 2y¹ + (y)¹/3 + 3y = √5 O y + 4y" + 5y = lny"

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Q: The number of students at a school increases at a rate proportional to its current size. In 2005,…

A: The number of students at a school increases at a rate proportional to its current size. In 2005,…

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Q: determine the roots of the simultaneous nonlinear equations (x-4)^2 + (y-4)^2 = 5, x^2 + y^2 = 16.…

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Q: 3. Let f: A → B and g: B → C be functions. Recall that the composition of g and f is the function go…

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Q: C: An example of diagonalisation: 1) Find 3 vectors e₁ e2 e3 satisfying the equations : Let T be the…

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Q: 1² +2²+ •+n² = n(n+1)(2n+1) 6 for n EN

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Q: minimize (x1-5)² + (x2-3)² subject to 10 - X1-X220 Solve using logarithmic penalty function method.

A: The Logarithmic Penalty Function Method is a technique used in optimization to solve constrained…

Q: 4) Σn!(x-4)" n=0 a) Find the radius and interval of convergence. b) Interval of absolute…

A: As the image contains multiple questions, following Bartleby's Q & A guidelines, I have solved…

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A: Note: We will be solving the last part of given question as asked.Given that  is a ring and  is its…

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Q: Problem Find the initial solution for the following transportation problem, by using 1- North-west…

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Q: B 15 D 12 A Use the Brute-Force Algorithm to find the lowest-cost Hamilton circuit. For the first…

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Q: If we multiply the Legendre polynomial of degree n by an appropriate scalar we can obtain a…

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Q: 1. Find a discretization scheme for the heat equation with insulating boundary conditions PDE IC BC…

A: Let the solution be in the form We shall consider the three cases as follow,

Q: 1 Consider the initial-value problem: y' - 2y = 4e-2t, y(0) = 6. Use the Laplace transform to find…

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Q: 8. Find the maximum value of f(x, y) = 4xy, x>0, y> 0, subject to constraint (x²/3²)+(y²/4²) = 1…

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Q: How many six-digit numbers with a possible leading zero, but no repeated numbers are there if the…

A: To find that how many six-digit numbers with a possible leading zero, but no repeated numbers are…

Q: ne equation x² 2 +7xy = y³ dy dx --(1) an example of the Bernoulli equation

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Q: Suppose I have a curve with derivative function r' (t) = (t + 1, t³, sin(t)). 2 (a) Calculate f² r'…

A: We have

Q: Solve the linear equation x2y" + axy' + By = 0, for any real numbers a, ß.

A: The given linear equation is       x2y'' + αxy' + βy = 0   . . . . . . . . . . . . (1) Now, let, z…

Q: Consider the surface z=f(x,y)=x+3y +1 and the curve C in the xy-plane given parametrically as x =…

A: The solution is given by

Q: 3100 = (ak ak ak ak-1... a2 a1 ao ao)₂ ao?

A: If we represent 3100 in base-7 form, we see       3100 = (ak ak-1  . . . . . . . . a2 a1 a0)7…

Q: 1. Consider the equation -xy"+y' + (x-1)y=0, x > 0. We can easily verify that y₁(x) = e* is a…

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Q: A poll asked respondents if they agreed with the statement that colleges should reserve a certain…

A: The given Venn diagram,Using the Venn diagram to find the number of respondents agree the statement.

Q: Find (4x + 2y)dA where R is the parallelogram with vertices (0,0), (1,2), (5,4), and (6,6). R Use…

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Q: a. Let f: R" →→ R, and a € R". Prove that the following two statements are equivalent: • Du[f] (a) =…

A: note :Since you have posted multiple questions, we will provide the solution only to the first…

Q: Let Z[i] = {a + bi | a, b € Z} be the ring of Gaussian integers. = Determine how many cosets the…

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Q: In Family B, the middle child is 5 years older than the youngest child.

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Q: Determine the general solution of the differential equation y' = x²/y(1 + x³) and the solution of…

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Q: Here are the meanings of some of the symbols that appear in the statements below. . E means "is a…

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Q: Which is a possible value of q, to the nearest hundredth of a radian, when cos q = -0.08? A. 1.65 B.…

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Q: Find the slope of the tangent line to the polar curve r = Slope = sin (30) at the point specified by…

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Q: Find the Annihilator of the given function(s) f(x)=x + e*cos(2x) D²(D-1)(D²+4) a. b. D(D²+4)² C. D²…

A: To find - Find the annihilator for .Annihilator operator used -

Q: 2. The local hospital offers an incentive for nurses to work longer shifts. After a regular 8-hour…

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Q: Use induction to prove that 12 + 22 + ... + n2= n(n+1)(2n+1)/6 for all n>0.

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Q: Find the complete integral of the following equations (irreducible eqns to the standart forms) a) b)…

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Q: Consider the graph of the function g(x) given below. g(x) -4- 2

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Q: 8. The probability of a machine developing a number of faults is given by the Poisson distribution:…

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Q: Company C showed a profit of $1.4 million last year. The CEO of the company expects the profit to…

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Q: (-1+√3i)* late Z in polar form, where Z = |Z| (cos(8) + i sin (0) ) solution including 2 decimal…

A: For a complex number  argument  and modulus Also note the following peroperty of complex number  for…

Q: Find a particular solution of y" +9y+14y = 8e-2x

A: The given differential equation .To find the particular solution to the differential equation.

Q: h(x) = e + x + 1 X

A: Givenh(x)=ex +x+1The inverse of a function is simply its reflection in the line y = x

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3. Draw the region over which the sector r ≤ 1,0 ≤ 0 ≤ π/4 is…

A: Let us first draw the given region.then apply transformations one bye one.

Q: Consider the following system: Find the eigenvalue X, eigenvector , and corresponding generalized…

A: The given system is .To Find: eigenvalues,  eigenvector, and generalized eigenvector.To Sketch:…