(x + ) 2 + 125 (475) 2 46 21

Q: 1. f(t) = (2e-4t + sin t)²

A: The given problem is to find the Laplace transform of the given function f(t)=(2e-4t+sin(t))2.

Q: The tangent to the parabola v = x^2 has been drawn so that the abscissa x_{0} of the point of…

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Q: Let ke R\{0}. Give an example of a function f : R2 R² and c E R² such that lim || f(x) || = k but…

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Q: (a) (b) (c) Show that is a group homomorphism Compute the kernel Ker of . Compute the image Im of .

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Q: (1) Give an example of perfect groups (i.e. the group equals to its own com- mutator subgroup). (2)…

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Q: Solve the differential equation: y − 3y = 4e5t at y(0) = 6 Oy=4e-3t2e-5t Oy=-4e- Oy=4e³t+2est O…

A: the given differential equation is of the form of first order linear differential equation.

Q: without being a unitary operator. For example, let H = ² and for x = (x(1), x(2),...) in H, let C(x)…

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Q: 0(x) = n(x) log x π(x) = J. π(t) t 0(x) + [². dt e(t) 2 -dt. and,

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Q: Please do Exercise 17.3.3 part B, C, and D and please show step by step and explain Hint for B: You…

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Q: Find the maximum value of f(x,y,z)-11x+5y+25z on the sphere x²+y²

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Q: 14. An inverse ratio is the reciprocal of a given ratio. Gear A has 96 teeth, and gear B has 12…

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Q: Let V1 = 2 V2 = 0 2 V3 = 2 V4 = 3 Decide the dependence or independence of the vectors {V₁, V2, V₁}…

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Q: A produce buyer for a juice company is buying pears. He makes a choice of either Wisconsin,…

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Q: Prove that there are infinity many primes . Please provide a typed solution

A: We have to prove that there are infinitely many primes. We will prove that by contradiction,…

Q: The cost structure for iPhones are as follows, fixed cost of $25 and variable cost per unit of $2.…

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Q: You are the loan department supervisor for a bank. This installment loan is being paid off early,…

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Q: Find the companion matrix of p(x) = x3 + 3x2 -4x + 12 and then find the characteristic polynomial of…

A: We find the companion matrix of p(x) = x3 + 3x2 -4x + 12 and then find the characteristic polynomial…

Q: Discuss the monotonicity of g(x), where g(x) 2f 2 + f(6-x²) Vxe R. It is given that f'(x) > 0Vxe R.…

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Q: Use the Venn diagram to answer the question. In 2016, among the top 100 grossing movies in a…

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Q: Let X = {v, w, x, 9, 10, 11), Y = {w, y, z, 9, 11, 13), and Z= {w, y, 10, 11, 13). List the members…

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Q: Simplify the complex fraction. Assume no division by 0. + |N|X 2 4x y

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Q: Solve for the function y that satisfies ty' = 2y + 4t³ cos(4t) = 0 {

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Q: Discuss the monotonicity of g(x), where g(x) + f(6-x²) Vxe R. It is given that f"(x) > 0Vxe R. =

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Q: Solve the system of equations using matrices. Use the Gaussian elimination method with…

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Q: Consider the series ∞ Σ(cos 0.9)* k=1 Determine whether the series converges, and if it converges,…

A: The given problem is to check whether the series is converges or diverges and also to find the value…

Q: Convert the point (x, y, z) = (2, 1, — 4) to cylindrical coordinates. Give answers either as…

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Q: [*fc f(x) dx and [*fx f(x) dx = 1.1 2 |f(x) dx = Life |f(x) dx (Give an exact answer. Use symbolic…

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Q: Prove that there are infinity many prime numbers.

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Q: characterize the following differential equation (what order is it, if it is linear or not, if it is…

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Q: Prove or disprove: ne N. If lim xn exists. Let m≥ 2, and let n, yn E Rm for all 0 and lim(rn yn)…

A: Here we take counter example for disprove given statement

Q: Show that the greatest volume of the cylinder which can be inscribed in a right circular cone of…

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Q: 3 Find the general solution of the third-order ODE y(³) + 6y" + 10y' + 6y = 0, note that m³ + 6m²…

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Q: Alejandro wants to adopt a puppy from an animal shelter. At the shelter, he finds six puppies that…

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Q: The inverse Laplace transform of 4s² + 11s + 151 (s+7) (s² + 2s + 10) ' is: peat + gest cos(wt) +…

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Q: The table below shows the number of survey subjects who have received and not received a speeding…

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Q: id the point (a, p) on the ellipse 4x + 3y = adrant, so that the area enclosed by the lines y = d…

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Q: A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. Show…

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Q: (1) Without doing any calculations, explain why C(12,3) = C(12,9). (Hint: if you select 3 objects,…

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Q: x+y+z 22: e |||| sketch

A: Three-dimensional graphs are a way that we represent certain kind of multi-variable function that…

Q: 2) B=(4,-√6,-10, 0, 7 Integers A) 4,0 2, 2, 1.7, √ 4 B) 4,-10,

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Q: Samas (:])-[-] - (M)-[:] L (1) a) why do you know as compute given. {0.00} solve using system…

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

Q: Find the unit vector u which points in the direction of the vector v = TOE Enter the vector u in the…

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Q: Problem #2. The budget planners for Mountain View have determined that $3,524,000 will be needed to…

A: Use percentage formula to find the required tax rate.    Mill rate is property tax charged on per…

Q: Lemma 8.1. Let pn be the n-th prime. We have

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Q: Find a quadratic equation whose product of roots x₁ and x₂ is X1 x2 equal to 4 and satisfying the…

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Q: Q#9 If csc a) Show prep work here (Triangle with sides labelled, Quadrant's CAST status if applies).…

A: (a) Given cscθ=-1312 We know  cscθ=HypoteneusPerpendicular=-1312=-ABAC Let AB=13x, AC=12x From…

Q: (a) Define the following hyperbolic functions directly in terms of the exponential function (i)…

A: We know the exponential form of all the given hyperbolic functions.  Now the graph are given bellow.

Q: Write the form of a particular solution to y(3) - 3y" - y = 2e without determining the coefficients…

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Q: 3. Let be the Euler phi function. (d) If mn, show that o(m) (n). (e) Let (n) denote the sum of the…

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Q: Find the volume of the solid bounded below by the circular paraboloid z = : x² + y² and above by the…

A: Solution: