Algebra find the laplace transform of x(t) = sin(t) [u(t) - u(t-2π)] h(t) = [u(t+2π)- u(t)] determine: y(t) = x(t) * h(t)

Q: Given the equation F=95C+32F=95C+32 where C is the temperature in degrees Celsius and F is the…

A: given F=95C+32 where C is the temperature in degree and F is the temperature is Fahrenheit. Given…

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -…

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Q: metric series: f(x) = -x = {x X 3 +X-1 = (+X K=O for 1x141

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Q: Find the exact sum of each series.

A: We have to find the exact sum of given series.

Q: Find the general solution of +2x(5) +x"=0

A: We have to solve x7+2x5+x'''=0

Q: In harbor engineering, the equation for a reflected standing wave in a harbor is given by λ = 16, t…

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Q: Find the value of A. (A-B+C) + (2A + B) sin (2y) - (2B - A) COS (2y) = (4+j3) (6-j2) sin² (y)

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Q: Use the inner product (u, v) = 2u₁v₁ + U₂V2 in R2 and the Gram-Schmidt orthonormalization process to…

A: u1 = (2, 1) u2 = (-2, -5) v2 = u2 - u2, u1u1, u1u1v2 = (2, -5) - (2, 1), (-2, -5)(2,1), (2,1)(2,1)v2…

Q: Compute the simple interest INT for the specified length of time and the future value FV at the end…

A: Given information Principal amount P=$5,000 Interest rate r=8% per year Terms of the loan n=2 years…

Q: Solve the following inequality algebraically. Include an interval chart in your solution.  5x+4x-11…

A: The solution for the given inequality is x∈(-∞,2411) or x<24/11

Q: -1 4 3x tan x

A: Taylors series formula f(x)=∑k=0∞f(k)(a)k!xk We have f(x)=3xtan-1x and a=0

Q: 3. Show your work. Simplify your results. -{()}-- () and b= Let L = Span (b) (c) Find the matrix P…

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Q: Write as a single power with a positive exponent and then evaluate. Express each answer as a whole…

A: Let us solve the given problem in the next step.

Q: Use linear approximation, i.e. the tangent line, to approximate √64.1 as follows: Let f(x)=√x. Find…

A: Note:- Linear approximation of a function f(x) about x = c is Lx ≈ fc + f'c x-c   Given information…

Q: A person can order a new car with a choice of 6 possible​ colors, with or without air​ conditioning,…

A: Solution :-

Q: Integrate the given function over the given surface. √√3 G(x,y,z) = z over the parabolic cylinder…

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Q: 2. y' (4x - y₁)² = 0 -

A: This is an ODE problem.

Q: Evaluate √x² + y2dA, where D is the domain in Figure 4 R G FIGURE 4 ₂√x² + y²dA= F: x² + y² = 64 G:…

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Q: 1. The definition of a double integral over a rectangle is m n [[ f(x,y) dA = __lim_Σ[ƒ(æ'ïj, Vij)…

A: Note: Since, you have asked multiple questions, we will solve the first question for you. If you…

Q: Using the method of bisection, approximate √3 by a fraction to within an accuracy of 0.1.

A: Let us consider that, x=3x2=3x2-3=0 So, we get the function, fx=x2-3 Now, use the bisection method…

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Q: QUESTION 2 1 2 1 1 2 1 1- (-7 & 2) and B- ( ²5 ) . Find -1 5 = -3 15 6. 0 1 3 7 9 6 i) the…

A: 2(a) Given A=121-152379 and B=121-3156016   To Find: (i) the elementary matrices E1, E2 that reduce…

Q: 4% Define the given functions s f1(t)=1; 6 f2(t)=(3*exp(2 t) +6"sin(5 t) +2*t^2)^2; 7 f3(t)-(2*sin…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-part problem.…

Q: a) Find the value(s) of k for the following matrix if the matrix is singular. -1 2 10 5 1 -3 k b)…

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Q: Questions 6. As a result of the transformation of the graph of y = f(x) into the graph of…

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Q: Find the center of mass of the following solid, assuming constant density. Sketch the region and…

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Q: Solve the initial value problem below using the method of Laplace transforms. y" + 16y=96t² -…

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Q: The vector field F = (y², 2xy + e³2, 3ye³z + x) is conservative

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Q: 1) A mobile phone company refurbishes used phones for resale. They currently have 125 phones that…

A: 1. Given is a mobile company that refurbishes used mobiles for sales.   Also given number of mobiles…

Q: If y = cos¹ (v₁²), X = find dz? 1 Vu² +1 2= ln (2x-3y)

A: Consider the given equations, y=cos-1vu2x=1vu2+1z=ln2x-3y here we need to find the value of dz.…

Q: during typhoo Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of…

A: For first three hours, the rain fell at a rate of 25 mm per hour.  So for time 1≤t≤3 the rate was 25…

Q: (a) The eigenspaces of a matrix A are shown in the figure below. Find A (3). 2-eigenspace Y x…

A: Note:- As per our guidelines and due to time limit, we can solve the first part only as exactly one…

Q: Find a linear transformation T from R4 to R4 such that the kernel of T has dimension 2 and give a…

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Q: If | A| = 2 and |B| = 6, what is |AU B|+|An B?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: b) Solve the system of linear equations by using Gauss Jordan Elimination method. + 2x4 X4 X1 3x1 -…

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Q: The probability of two workers A and B being absent in a given day are 1/2 and 1/3 espectively. Find…

A: We want to find true option.

Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

Q: 4. Let f(x, y, z)= xy²z² - 2xyz a) Find the rate of change of f(x, y, z) at P(1, 1, -1) in the…

A: The gradient of a scalar function at any point describes the direction in which the scalar function…

Q: Q9 please write this on paper I cant underestand like this

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Q: Question 27 Let y = O 3√10 O√5 02√5 03√5 09√5 9 and u= H . Find the the distance from y to the line…

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Q: Use row operations to change the matrix to reduced form. 10-5 012 00 3 10-5 0 1 2 00 3 0 - 12 0 -12…

A: This question is related to matrix reduction using row operation.

Q: Prove that: 577 3 [Cos Cos БП 6 +isin STT 3 4 +isin STT714 6 ==1

A: To Prove: cos5π3+i sin5π34cos5π6+i sin5π614=-1

Q: Section 14.7: Problem 7 Previous Problem Problem List has its largest value. a= b = Next Problem…

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Q: 7. Find the eigenvalues and (a) Each of the Pauli op (b) the operator Se=

A: When T(x) = x, a nonzero vector x and a constant scalar are referred to as the eigenvector and…

Q: 10. Suppose your friend is trying to diagonalize the matrix P, shown below. He calculates the…

A: Note:-  As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: 7.) Write the System System of Tinear equations augmented the variables Jose if applicable…

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Q: Show that R[x]/ is a field.

A: In this question, we have to show that ℝxx2+1 is a field.

Q: Let ₹₁ = [1; 0; 0], ẻ2 = [0; 1; 0], ẻ3 = [0; 0; 1] denote the standard vectors in R³, and let T: R³…

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Q: Let u and v be two vectors for which ||u||²+ ||v||² = ||u+v||²

A: Given that ||u||2+||v||2=||u+v||2 consider the right hand side |u+v||2=u+v.u+v

Q: Investigate the stability of the region of the system -y, y--r-y(1-x²).

A: Given that : differential equation x'=y , y'=-x-y(1-x2) To find : Investigate the stability of the…