(LT-2) Use the Laplace transform to solve the initial value problem y" + y = f(t), y(0) = y'(0) = 0, in which f(t) defined piecewise as follows: f(t) = 0 4 0 0

Q: S ::116 Let S be the lower half of the unit sphere x² + y² + z² = 1 and take n as the inner unit…

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Q: Find a basis for the T-cyclic subspace W of the operator T: V→V generated by the vector 2: V=R³,…

A: Given vector space is V=ℝ3 and the operator T:V→V is defined as: Ta,b,c=a+b+c,3b,a-c. We need to…

Q: P1 (a) Use the integral test to study the convergence of the series Is it absolutely convergent? ∞…

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Q: What are 3 irrational numbers between 4 and 5? And 3 irrational numbers between 7 and 8?

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Q: Problem A. Find 3 different parametrizations of the curve C which is the portion of the parabola y =…

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Q: PROVE A is subset of B. A= { 4x l x ∈ Z }. B =  { 2y l y ∈ Z }. Also, if A is subset of B, what does…

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Q: Graph the polar equation by dragging the number of petals point, they symmetry point, and the other…

A: Given: r=-18cos4θ We have to graph the given polar equation.

Q: If $89,000 is invested in an annuity that earns 5.3%, compounded quarterly, what payments will it…

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Q: (0² +4) y = 8 sec 2x

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Q: Use spherical coordinates to evaluate the triple integral /// x² + y² + 2² dV, where E is the ball:…

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Q: Martine bought 834yd of fabric. She wants to make a skirt using 178yd, pants using 238yd, and a vest…

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Q: How to show (0,1) is uncountable? It is from an introduction to higher mathematics.

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Q: Define functions f: {0,1,2} → R+ and g: R+R by f(x) = 4x and g(x) = log2 (x). Write down the ordered…

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Q: 2. Find the inverse transforms of the following functions: a. F(s) = S b. F(S) = 52+7 s²+7 c. F(s) =…

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Q: Describe how the graph of f  varies as varies. Graphseveral members of the family to illustrate the…

A: The given function is f(x)=x4+cx2. To Explain: Behaviour of the function of the function for…

Q: Determine whether it is a subspace.  If so, prove it then find its dimension. For all polynomials…

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Q: IS F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F…

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Q: Sketch the region over which the integration with the order of integration reversed. Evaluate both…

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Q: Triangle ABC is an equalateral triangle. Use the figure to find the value of x. A x = (7x + 4)° B C

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Q: If you make a deposit into a bank ccount, at what interest rate, compounded eekly, should you invest…

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Q: Money is invested at two rates of interest. One rate is 9% and the other is 4%. If there is $1400…

A: A system of two linear equations is given, which is as follows;…

Q: Find the matrix exponential The eigenvalues of A are X₁ = -1 and ₂ = 1. In the event that your…

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Q: Use the Laplace transform to solve the given initial-value problem. y" - 5y' = 8e¹t - 4et, y(0) = 1,…

A: Use the given information.

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Q: 2. Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1…

A: The given function is F=x,y, and the curve C is upper half of the circle x2+y2=1 oriented counter…

Q: spherical coordinates to evaluate the triple integral ]]] x² + y² + 2² dV, where E is the ball: x² +…

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Q: Solve the inequality -2x + 3 4

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Q: dy dt = -0.06 y

A: Given: dydt=-0.06y, at t = 0 the tank contains 3 m3 water, that is y(0) = 3. Using Runge Kutta 4…

Q: Find a least-squares solution of Ax = b, where A = least-squares solution: * X1 X2 (enter integers)…

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Q: 2. Show that the equation. has no integer solutions. 4x = y² + z² + 1

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Q: Examine the graph of the function f(x) = 10x³ + 3x² - 12x. -5 -4 -3 -2 Estimate the interval(s) on…

A: We have to find the interval where rate of change of the function will be positive.

Q: Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the…

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Q: Let S be the lower half of the unit sphere x² + y² + z² = 1 and take n as the outer unit normal. Use…

A: Given That : Let S be the lower half of the unit sphere x2+y2+z2=1 and n be the outer unit normal .…

Q: Problem #2: Centroids For the shape given below, find the coordinates of the centroid(x, y). E

A: Given: A shape is given with the measurements. To Evaluate: Our aim is to find the centroid of the…

Q: McJester's Burger Hut plans to expand by opening several new restaurants. The chain operates two…

A: Given : McJester's burger Hut chain operates two types of restaurants - drive-through and…

Q: Evaluate w f(x, y, z) dV for the function ƒ and region W specified: SSSw(42(x + y)) dV = f(x, y, z)…

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Q: 1 + 6an−2 for n ≥ 2. Use generating functions to solve for an

A: Given,         a0=1, a1=2, and an=an-1+6an-2 for n≥2.

Q: 2) Phoebe Small still has 35 pages of history to be read after she has been reading for 10 minutes,…

A: Summary: Phoebe small start reading an assignment. After 10 minutes, 35 pages are left. After 50…

Q: could you please write the solution again more clealry please

A: Note: "As per your requirement, here is the solution in digital form which is more clear and…

Q: Five years ago Uncle Shelby had $108,000. He put of the money in the bank. He invested the rest of…

A: This question is basic maths question with general understanding and calculations.

Q: Consider the following recursive sequence s So = 1, Sn = 2 * Sn-1. + Prove for all i≥ 0 that s; = 2¹…

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Q: C webassign.net/web/Student/Assignment-Responses/ Use the limit process to find the area of the…

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Q: The Amazing Math Kitties, Eva and Archer are trying to evaluate f F dr where F = where C is the…

A: The given vector function is, F=y,xz,-y and the curve is x2+y24=1 which is oriented…

Q: Match each the following EROS with its corresponding elementary matrix. R2 + 5R3 2. R2 -> 5R2 3. R1…

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Q: A company estimates that 0.9% of their products will fail after the original warranty period but…

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Q: 4 Let ƒ: R → R given by f(x) = 2 sin(x) − x² + 1. enames for text alFind an interval [a, b] for…

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Q: y(n) = -5y(n-3) - 2y(n-4) + y(n-5)+ x(n) + 4x(n − 2) - 6x(n-3)

A: Given:  yn=-5yn-3-2yn-4+yn-5+xn+4xn-2-6xn-3To find: Transfer Function

Q: Use summation properties and formulas to rewrite and evaluate the sum. 21 Σ ( − 9i² − 6i + 9) i=1

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Q: Question 5. Let C be the curve with the parametric equations cos³ t x = y = sin³ t 0≤t≤ 2T. Sketch a…

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Q: По The finite closed interval [a, b] is compact and no in both the Standard cofinito topology.

A: Soln: The interval [a,b] being closed and bounded in R, thus [a,b] is compact in the standard…