Given the function s(1) = 6 e-31 Use the Laplace Transform table to convert this function into F(s).

Q: Consider the integral 6yx -dA, (x² + y²)² R where R is the region in the fourth quadrant and between...

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Q: Question 4: At what rate of interest compounded semi-annually for 8 years will Rs. 3,150 amount to R...

A: Let us consider the principal amount be P.  The amount will be A after t years at the rate of r% for...

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given that the smaller region R is bounded by the curves x2+y2-2ax=0 and x+y=2a is revolved about x=...

Q: Given the integral: 4 dr. Evaluate using Romberg's method. Tolerance = Næ1o 6 %3D 1+x²

A: Use the following formulae, to estimate the integral ∫abfxdx by the Romberg integration method. h=b-...

Q: Consider the three following points of R'. A = (0, 2, 2) В %3 (1, 1, 1) С %3 (-1, 1, 2) (a) Find the...

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Q: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base m...

A: Introduction: The lateral surface area of a right triangular prism is given by, LSA=perimeter of bas...

Q: (b) Length V2 and same direction as v = (5,0, –1). 5 1 w = :, 0, -

A: Vector calculus

Q: Question 3. Let A e M2,4 be such that ATA = diag(0, 1, 2, 3). Which of the following is not a singul...

A: The square roots of position eigen values of ATA are singular values of A.

Q: 1. Solve the following system of equations using the Gauss elimination method: 2x1 +x2 -x3 = 1 xj+ 2...

A: Multiple : We have given system of equation ,  2x1 + x2 -x3 = 1x1 + 2x2 + x3 = 8-x1 + x2 - x3= -5 By...

Q: find the general solutions to the given differential equations y" – 2y' + y = x² - 1

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: (a) Consider an optimization problem (i) How are the augmented matrices for a minimization and dual ...

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Q: Calculate the range of f(x,y) using this equation f(x,y)=2x2+y2+1 and the given figure.

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular ...

Q: A circle is tangent to the line 2x-y+1=0 at the point (3,5) and the center is on the x+y=9. Find the...

A: Given that equation of tangent to the circle is  2x-y+1=0 at point (3,5)

Q: dy 3. dx y – x + cos - -

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Q: 1. Kandeer measures the amount of water in his backyard well each day during a dry spell in his area...

A: Introduction: The rate of change of a function is with respect to the independent variable is noting...

Q: Select the smaller of the two numbers

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Q: Find an equation of the set of all points equidistant from the points A(-3,

A: Given, the coordinate points A-3, 6, 2 and B5, 2, -3.

Q: 4. Use the following statements to construct a disjunction. This month is June. Next month is not Au...

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Q: Let P = {(x1, X2, ..., Xn);| X1 = 0} and Q = {(x1, X2, ..., Xn | X1X2 = 0} be subsets of the vector ...

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Q: ransform

A: Introduction: The Laplace transformation of the function sint and cost is given by, ℒ(sinat)=as2+a2ℒ...

Q: e the elgen và equal to

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Q: Find the surface area of the part of the paraboloid z = 9 – 2.x - 2y that lies above the %3D

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Q: Let a = (4, 8, -6) and b = orthogonal to a. (2, 2, –7) be vectors. Decompose the vector b into a com...

A: We are given a=(4,8,-6) and b=(2,2,-7) be the two vectors. We have to decompose the vector b into a ...

Q: Billy was asked to express P(55,20) as a product of numbers without factorials so he wrote the follo...

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Q: 8. If the equation Ax = b has more than one solution for some b in R", then the columns of A span R"...

A: This is a problem of linear transformation.

Q: Which statement about the distance between 6 and 0 and the distance between the opposite of 6 and 0 ...

A: Distance between two entities is the length between them Distance is a positive scalar quantity Dist...

Q: The base of a certain solid is the triangle with vertices at (-6, 3), (3, 3), and the origin. Cross-...

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Q: (a) Use Cramer's Rule to solve the following system for the variable z. No other method is allowed A...

A: This is a problem of linear transformation.

Q: Solve the problems below that pertain to constructing a fence. (a) A farmer wishes to enclose 6,724 ...

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then...

A: We have to find the Laplace transformation of f(t) using definition of Laplace transformation.

Q: In the following graph, find an Euler cycle if possible. If there is no Euler cycle, find an Euler p...

A: Given :  

Q: 5. Solve the equation SHOW YOUR COMPLETE AND CLEAR SOLUTION. (y')² + (x - 2r ) y' + x- - xt = 0 X - ...

A: We will use only the basic knowledge of differential calculus to answer this question properly, in d...

Q: Let A = { | 2.x |x € R}. Is A a subspace of R³? З Let B x + y + z = 0}. Is B a subspace of R³?

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Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 392x The ...

A: We have to find the area of surface.

Q: Г10] Let ÿ = 7 and i = -2. Write y as the sum of two orthogonal vectors, j1 parallel to u and j, ort...

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Q: ind the pattern when every other Fibonacci number is added, starting with the second. F2=1 F2+F4=1+3...

A: We will use the basic knowledge of Fibonacci numbers to answer this question properly, in detail.

Q: There are 18 males and 14 females in a classroom. A president, secretary and vice- president must be...

A: There are 18 males and 14 females in a classroom. A president, secretary and vice president must be ...

Q: Which of the following are examples of an equivalence relation on Z? Select all that apply. A. a ~ ...

A: Hence the relation is an equivalence relation.

Q: What is the present value? Amount: $3812.75 Nominal Rate: 1.8% Frequency of Conversion: monthly Time...

A: We know the present value formula ,  PV = FV×11 + rtn×t Where , FV = Future value                  r...

Q: dy et-y dx 2.

A: The given problem is to solve the given differential equation using separation of variables method.

Q: Solve the linear programming problems using the graphical method. (PS. use graphing paper) Minimize...

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Q: 1. Answer the following question? Let f '(x) = (x – 3) (x +4)(x² + 1). What are the critical number(...

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Q: Write each as a single factorial. i) 90*8! ii) (n² + n)(n 1)! iii) (n +1)!/(n -1)!

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Q: Let f (z) = zi + (z – 3) - Part (a) Integrate the function f (z)along the curve C given by z t3 +it?...

A: We will use the basic knowledge of complex analysis and integral calculus to answer this question.

Q: Solve y(x)=1–2x–4x² +[3+6(x-1)-4(x-1)ʻ]y(t)dt it.

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Q: Determine the a, of the Fourier Series of: -15; -3<t < 0 f(t) = } %3D 10 ; 0 <t< 3

A: Introduction: When a continuous function has a period 2P, the function can be expressed as a series ...

Q: Graph the exponential function g (x)=2" + 2. To do this, plot two points on the graph of the functio...

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Q: S be the region in the first quadrant bounded by the graphs of y = = and y = x, as shown in the figu...

A: In this question, the concept of volume of the revolution of solid is applied. Integration can be us...

Q: Consider the matrix: 1 3 -5 | A 1 2 2 -2 -1 3 (a) Use Cramer's Rule to solve the following system fo...

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Q: 1. Let a,b e N and n = gcd(a, b). For some prime p, if p divides both a and b, then p divides 2. Let...

A: According to the guidelines I need to answer only 1 question at a time. I still solved first two par...