Sketch the function and write in terms of unit step function. Hence find the Laplace Transformation

Q: hen the distance of the plane from at the rate of 8,000 km/hr. At w

A: Given: Perpendicular distance between station and plane is 5,000 km. To find rate of distance of…

Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: Show the first few steps (as indicated below) and the final answer in evaluating the given…

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Q: Find the solution of the given initial value problem in explicit form. sin (2x) dx + cos(7y) dy = 0,…

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Q: 1. Evaluate y'+3y²+2y=e-t , y(0)=4, y'(0)=5

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Q: 11. A tank contains 100 gallons (gal) of water and 50 ounces (oz) of salt. Water containing a salt…

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Q: of the system Find the general solution ( A = O B=/et -1 3 =

A: We have to solve given problems:

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(7y) dy =…

A: Here we use basic integral to find the solution.

Q: Sketch and set up the integrals for volume of the region bounded by y = x^2 + x - 2 and y = 3x + 13,…

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Q: Sketch the region corresponding to the double integral 1+√3 1-y² √ dx dy and reverse the order of…

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Q: Find the solutions if k = -1 for 7 N Kx +y+kz=K² ky +z Kx +4 -1 = = = K th + X 2

A: This question is relqted to system of non homogenious equations.

Q: Follow the instructions below: a. Use Laplace transforms to solve the following Differential…

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Q: too 3. let e* = + 38 = 1₁1 nào n a) Find a power series for tet? 6) Integrate the power series…

A: Given series is ,                        et  =   ∑n=0+∞tnn! Then the power series for  tet2  . (.)…

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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: x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

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Q: 1. Answer the following: (a) If you are given a differentiable function f, give at least one…

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Q: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A: Given boundary of a field is a right triangle with straight stream along its hypotenuse          The…

Q: olve the following differential equation y" + 3y' + 3y = et sint, y(0) = 0, y'(0) = 1

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Q: 13. Pharmacokinetics. A simple model for the concentration C'(t) of a drug administered to a patient…

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Q: L{5cosh2t-3sinht} 1. 5s 3 a. s²-4 s²-1 3 5s b. s²+4 s²-1 3 5s C. s²-4 s²+1 5s 3 d. s²-4 s²-1 - +

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Q: Antoine stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height…

A: Solution:-

Q: Calculate 43×32. Reduce to lowest terms. Calculate 316x810. Reduce to lowest terms. Calculate 94÷35.…

A: 13. Given 43×32 =1376 Which is the required answer. 14. Given 316×810 = 255960 Which is the required…

Q: Q/ Provethet f is continuous if f(B) = f'(B) Suppose of continuous and Prove F(B) ≤ f(B) then for…

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Q: 1. Answer the following: (a) If you are given a differentiable function f, give at least one…

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Q: 1. Answer the following: (a) If you are given a differentiable function f, give at least one…

A: (a) f’(a) is the instantaneous rate of change of f with respect to x at point x=a. (b) given tangent…

Q: -91 Let y = -3 and u = and 2 orthogonal to u. x₁ = 4 -2 Write y as the sum of two orthogonal…

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Q: 7. Is it possible for a graph with six vertices to have a Hamilton Circuit, but NOT an Euler…

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Q: Among all rectangular solids defined by the inequalities 0≤x≤ a, 0sysb, 0szs1, find the one for…

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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: 4. Let A = {1,2,3,4). Find a non-empty relation on set A such that the given MI conditions are met,…

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Q: (b) Find Fourier cosine transform of f(x)= 1 0<x< 1/ -1<x<

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Q: 2. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

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Q: . Find which of the following graphs are bipartite. Redraw the bipartite graphs so that their…

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Q: 5. The field mouse population in Example 3 satisfies the differential equation dp/dt = 0.5p - 450.…

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Q: Question * Find the value of w for P(-w<Z<w)=0.9545

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: Let A E Mn(R) be given. (a) If det (A) = 1, prove that adj (adj(A)) = A. (b) If A is nonsingular,…

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Q: Let y = 185 || 3 and u = Write y as the sum of two orthogonal vectors, ₁ in Span {u} and 2…

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Q: What is the volume in cubic units of the solid formed when the region is revolved about x = -1?…

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Q: ng polynomial ting polynomial by using the 4th order polynomial. 58 to the given data and calculate…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Let р be a prime such that p = 22" + 1, for some n € N, with n > 1. (a) Determine if 5 is a…

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Q: Find the equation of the line through P = (13, 12) such that the triangle bounded by this line and…

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Q: Consider the following IVP: y" - 3y' - 10y = 1, y(0) = -1, y'(0) = 2 (a) Find the Laplace transform…

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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: Let b and h be the base and height of the right triangle. Given, fences are along base and height…

Q: Find the 6 roots of -i

A: We have given that ,  z = -i We need to find sixth roots of z = -i. First we will find polar form of…

Q: Consider the points A(2, -1, 3), B(7,0, 5) and C(0, 1, 7), and the line with symmetric equations…

A: We will use vector properties and equations of line and plane to solve all part  Note : I have…

Q: Compute the Cayley table and find a familiar isomorphic group of G/N where G is a group and N is any…

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of f(x) = n(1+x²).

A: Taylor series for a function f(x) defined at a is given by f(x)=∑k=0∞f(k)(a)k!x-ak…

Q: 1 2. Σn=10"+ 5n · (Comparison Test)

A: We will use comparison test for series.