ing is to ht of the

Q: 12. S dx 2x3 x++1

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Q: A function has a Laplace transform of F(s) = If this function is %3D s2-36 multiplied by t², what wi...

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Q: 11. Un x)3 dx 4x

A: I have used a substitution and a formula.

Q: Manny is three times as old as Andre now. Four years ago, he was four times as old as Andre was at t...

A: We want to find how old is Andre.

Q: Determine the convergence or divergence of the following series. Use Integral Test.

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Q: Solve the given initial-value problem. y" + x(y')? = 0, y(1) = 4, y'(1) = 2 %3D y =

A: We have given that, initial value problem, y'' + xy'2 = 0 , y(1) = 4 , y'(1) = 2 Divide both sides b...

Q: (6) Verify that Y, XY3,and x2y5 are integrating factor f Ydx +2xdy =o and solve. CANS 6): Xy2=C.

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Q: Divisibility (Absthraed Algebia) Show that iF 79-5 is a mulh ple of 3 2. Then a8a-13a -5 Is a mulhpl...

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Q: Solve simultaneously y (t) = 1 – a"(t) z' (t) = 2y (t) x(t) = -yr(t) where x (0) = 2, x' (0) = –1, y...

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Q: The data given below represent the percentage of energy derived from coal from the 50 states plus th...

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Q: Question 3. Sketch a graph of y of y Consider the polynomial function P(x) = --r³- r² + 15z. P(r) by...

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Q: Solve the following Laplace Transform of Algebraic Expression: 4. Find the L te2t ?

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Q: An open rectangular tank of length 3x meters, width 2x meters and height h meters is to be construct...

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Q: 16.13. Suppose that f is of the form n S(e) = + g(2), j31 where is analytic inside and on the simple...

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Q: The lengths of the segments are defined by the functions s1(x) = 9x - 1, s2(x) = 2x + 3, s3(x) = 4x ...

A: The lengths of line segments are s1 (x)=9x-1 s2 (x)=2x+3 s3 (x)=4x-7 s4 (x)=x-3

Q: 3. If the GCF(a,b) × LCM(a,b) = 210. What is axb equal to? Explain your answer.

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Q: Consider the following. 6- y = fx) 4 2 (a) By reading values from the given graph of f, use five rec...

A: Let P = { x0, x1, x2, ..., xn} be a partition of the closed interval [a, b] and f a bounded function...

Q: Find an equation of the line tangent to the graph of y sin r - 3y = 4 at %3D the point (5,4). *(remi...

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Q: 2°) Use integration by parts to prove that, for any positive integer n, (2n + 1) In = 2n In-1. 3°) S...

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Q: Hw-4 problem SET 2.1 reduce to Pirs oreler and solve 2. (It Cosn 6 govod luck 1a ^_^

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Q: (cos20+ jsin20)-3(cos50+jsin50)? (cis40) (5e/20)3 Simplify O a. 125(cos1460+ jsin140) O b. 25(cos140...

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Q: How many months would it take you to repay a $ 5225 loan by making payments of $ 57 at the end of ev...

A: The formula for computing the number of years required to pay off a loan when payment is made at the...

Q: . Calculate the volume of the sol Renclosed bư

A: Given, the plane                     4x+2y-z=0 and above the finite region R enclosed by the curves ...

Q: 8. S4 csc2 4x dx

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Q: 3. Using Newton- Raphson method, find the real root, correct for three decimal places, of the equati...

A: Here  sin(x) - x/2 = 0Let  f(x) = sin(x) - x/2 ∴ f′(x) = cos(x) - 1/2 Let x0 = π2 

Q: 23. Find the product. (-3x - 7)(5x + 8) 24. What's the equation of a horizontal line through the poi...

A: Q22,24,25 asked and answered.

Q: Let A E R"X". Use the SVD of A to write down an explicit eigendecomposition of AT H =

A: Given matrix A∈ℝn×n and H=OATAO. Let A=UΣVT be a singular decomposition of matrix A. Let uj are colu...

Q: 2. Determine the root of f (x) = sin x – e-* = 0 using the Newton- Raphson method in the interval [0...

A: The Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to app...

Q: differential equation.

A: We will solve this DE by using power series 

Q: he equation of motion of a mass is given as: y= (0.51)e 0. -(0.01)e. where y is the displacement of ...

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Q: Solve y" (t) – 2y' (t) + 5y (t) = H (t); y (0) = 0 ; y' (0) = 1; where H (t) =t – 2 if 0 2 %3D |

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Q: Solve the given differential equation by variation of parameters. xy" – 8y' = x8 | y(x) = ,x > 0

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Q: Find the roots at x = 3 of function f(x) = tanh (x² – 9) with an initial guess xo = 3.2 in three ite...

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Q: 2.it gad Ca,b) = t, prove that god (a be) = gedca,c).

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Q: 1. Let f and g be continuously differentiable functions. PROVE: div( f vg - g v f) = fag -gAf Hint -...

A: Given that f and g be continuously differentiable functions. we have to prove that         divf∇g-g∇...

Q: Comparison Test

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Q: dx 1+ax log 1-ax Evaluate x 1-x

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Q: 1 ;, n > 3. n vIn n Let an Show that the sequence {an}-3 is decreasing.

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Q: Find the roots at x = 3 of function f(x) = tanh (x² – 9) with an initial guess xo = 3.2 in three ite...

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Q: See equation below. Find the value of a + b. (Answer must be an integer) 1 sint(a — аcost) 1 L-s2+ 1...

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Q: Let g : R → R be a bounded function and define f : R\{0} →R by 1 f(x) = g(x)+ Using only the definit...

A: It is given that ;                f : R \ 0 →R  defined by     fx = gx + 1x2 Where,   gx  is a bound...

Q: || Approximate each of the following using left, right, using the indicated number of regions. 1 dx ...

A: We have to approximate the given integral.

Q: The Archimedean Property says that the set of real numbers have no upper bound. True or False

A: Given a statement , we have to check whether it is true or not.

Q: 23. Find the product. (-3x - 7)(5x + 8) 24. What's the equation of a horizontal line through the poi...

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Q: Find the general solution of y''' – 18y'' + 108y' – 216y = 4e= Put your answer in the form y = C1x" ...

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Q: Consider the homogeneous ordinary differential equation x² dy with y(x) as a general solution. Given...

A: Cauchy differential equation

Q: A radio active element (x) has a half-life of 38 hours. Initially, x = x.. Determine the amount of r...

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Q: -2x-2 4x + 8 Given f(x) = f' (x) = (x – 1)3 %3D %3D %3D (x – 1)² ' (x – 1)3 f"(x) (x - 1)4 d. Constr...

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Q: Problem 18.11. Let F: X ×Y → Z. We say that F is continuous in each variable separately if for each ...

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Q: Solve for the general solution of d²X dx² +B²X(x) = 0 Express the general solution in terms of Euler...

A: The given problem is to find the general solution in terms of Euler's formula for the given boundary...