Please answer the quesiton in the image (d), thank you.

Q: 1. Find the Laplace transform of the following. A. 1. f(t)=e2t cos 5t - 3t 2. f(t) = 7t2 - te 4 %3!

A: Given: 1. f(t)=e2tcos 5t-3t^32. f(t)=7t-te-4t To find the Laplace transform

Q: Activity 3 Construct a square with vertices G, R, E,A and T on the space provided below. Follow the…

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Q: Find the solution. y'-y =y2ex e ¯x A y = с +х e y = с — х с +х c y = с —х y = B.

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Q: Consider a linear system whose augmented matrix is of the form 11 32 1 2 43 13 mn For what values of…

A: The given problem is to find that for what values of m and n, the given linear system in augmented…

Q: 3. Suppose that BE Mxn(C) and B = 0. Show that I-B is invertible. Hint: Consider I+ B+ B.

A: Given : B is an n×n complex matrix with  B3 = O , where O is zero matrix. To prove :  I-B is…

Q: x2 Sketch the curve for f(x) = Vx + 1

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Q: undetermint coedticients 11 ON-4y = G²-3) sin x

A: The given problem is to solve the given non homogeneous differential equation using method of…

Q: Construct a field F of cardinality 16 and find a generator of the

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Q: Exercise 1. Let S be a set with n elements. For any integer k < n, let Ik denote the set of all…

A: We are given a set S with n elements. Also we have a collection of subsets of S defined as follows.…

Q: 4. Solve the linear system below a + 2b – c + 4d = 1 —а — 3ь + 2с + 2d %3D 4 2а + 2b — с + 2d %3D 2…

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Q: Given: Min Z=600,000x+500,000y 300x+100y>900 200x+100y>800 150x+150y>750 Solve for z

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Q: a b -b a Let V be the set of all 2 x 2 matrices of the form where a and b are real numbers. (a) Show…

A: Let V be the set of all 2×2 matrices of the form ab−ba where a and b are real numbers. That is…

Q: Find the general solution of the differential equation y" + 2y' + 5y : 4 sin(2t). NOTE: Use c and c2…

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Q: ues a) Draw a cylinder and label its height and radius in centimetres. Your diagram does not have to…

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Q: Find the general solution of the differential equation y" + (wo)?y = cos(wt), w? + (wo)?. NOTE: Use…

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Q: Given y(4) – 6y" – 36y" + 216y' = t² – 7 + t sin t, - - determine a suitable form for Y(t) if the…

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Q: Find the solution of the initial value problem 1 5y" – 6y' + y = 0, y(0) = 5, y'(0) = 5' Then…

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Q: An architecture student is designing a curved building and evaluating the volume enclosed vithin the…

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Q: If v, and v, are linearly independent eigenvectors, they correspond to distinct eigenvalues. True O…

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Q: 1. Determine whether the argument is an example of inductive reasoning or deductive reasoning. Two…

A: This is a question of Logical reasoning.

Q: Find the volume of the solid generated when the area bounded by the curve y = vx, the y-axis, and…

A: Volume is the measure of the amount of space occupied by a closed surface. It is measured in terms…

Q: Given y4) – 9y" – 81y" + 729y' = t² – 10 +t sin t, determine a suitable form for Y(t) if the method…

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Q: Question 25 Find the solution. (D2 + D - 6)y = 0 A y = c,e-+c,ez -3x -2r © y =c,e+c,e D

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Q: Solve Nonlinear Equation: Using Newton Raphson's Method (see image) use the following initial values…

A: Given the equation fx=ex-3x=0. Newton Raphson's method is given by xk+1=xk-fxkf'xk.…

Q: Find the volume of a cone with a base diameter of 8 ft and a height of 8 ft. Write the exact volume…

A: We use volume formula for cone.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x3 - y3, P(4,…

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Q: lin Jertermind 1=3+e

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Q: Use the Laplace transform to solve x'-2y'=1;r'+y-x=0;x(0)=y(0)=0

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Q: Suppose that Player M and Player N are playing a tennis match in which the first player to win three…

A: 24ways

Q: A rectangular paperboard measuring 32 in long and 20 in wide has a semicircle cut out of it, as…

A: A rectangular paperboard measuring 32in long and 20 in wide has a semicircle cut out of it . To find…

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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Q: Suppose p is a prime of at least 3 digits (i.e. P > 100). For each of the following q (related to…

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Q: (b) A hollow cylindrical tube has a radius of 10 mm and a height of 100 mm. The tube sits flat on…

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Q: How long does it take for a loan of $5000 to accumulate $1000 if interest is compounded…

A: Compound interest formula for an amount P which is deposited for t years at an interest rate of r%…

Q: Suppose that the 2004 state of land use in a city of 60 mi? of built-up area is C: Commercially Used…

A: The complete solution is in given below

Q: (2k)! (k + 2)(k!)* k=0

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Q: Perform Gauss-Seidel Method to the given system of linear equations. using x, = 0, continue…

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Q: Use forwards, back ward and centered difference approach to approximate the derivative of the f (x)…

A: Given function is  fx=x2+9x-10

Q: A. Express the following complex numbers in standard form. 1. z = 0 + 2.1=-2+4 2

A: Introduction: There are many different representations of a complex number. But, the standard…

Q: An engineering construction firm is currently working on power plants at three different sites. Let…

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Q: 3. Solve the IVP problem of Dirac's Delta function: y"+3y'+2y = 10 (sin t +d(t-1)); y(0)=0, y'(0)=-1…

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Q: 3. If laplace f(t) = find laplace f(4t)

A: Given that Lf(t)=1ess to find the Laplace of f(4t) use the linearity property

Q: a² + 22 Evaluate ab – ch - b1 bc + ah x ab + ch - 6| са — 62 + 22 bc – ar c2 +2² - с a са + 6л — а |

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Q: In Problems 25–28, express the solution of the given initial- value problem in terms of an…

A: Introduction: A first order linear differential equation is solved through finding the integrating…

Q: Find the volume of a cone with a base diameter of 9 yd and a height of 12 yd. Write the exact volume…

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Q: Approximate the arc length of the curve y = x over the interval [1, 2] using the trapezoidal rule…

A: Introduction: The length of arc of a given curve over a given interval is another important…

Q: Let f(z) = ((z – 3i)? + 9)ez-si The Laurent series representation of f(z) in the domain 0 < |z – 3i|…

A: Given function is fz=z−3i2+9e1z−3i. We have to find the Laurent series expansion of the function fz…

Q: S sin 7x dx is equivalent to which expression? A S(1– cos²7x)(cos 7x) dx B. S(1 - cos'7x)(sin 7x) dx…

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

Q: Question 9 Find the solution. dy x2 - y2=2xy dx A y = y = C) y = x2 D) y = 2x B.

A: First we'll convert the Bernoulli's equation in linear differential equation.  Linear differential…