18. Set up an integral to compute the volume under the hyperbolic paraboloid z = over the disk D = {(x, y) E R²|x² + y < 4}. = x²-y²+5 (" sin(x) 10 Froluot

Q: - TT < x < TT; function, f(x) = cos(x/2)

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Q: Use Romberg integration to compute dr correct to three decimal places.

A: Given integration is I=∫01dx1+x Let f(x)=11+x Here a=0, b=1 if we take 1 subinterval, then h=1-01=1…

Q: The integral TT tan x sec2x dx O none of them is an impróper integral of type I that diverges is an…

A: Solution

Q: ポーX 0<x<A (-1)"-1 sin nx 12) f(x)= COS nx + n<x< 27

A: According to guidelines,  I can solve only one question.

Q: It is known that h1(t)=e3t2, h2(t)=30e3t2 are solutions of the differential equation 4h" - 12h' + bh…

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Q: [x 1+t 5. Determine the distance between the point (4, 3, 2) and the plane y 2+s z = 3+5+t a. 3.69…

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Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu, grouping the…

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Q: 1. Find the (a) true error and (b) relative error of the following: 1. The derivative of /(x) = x +…

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Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)   PLEASE!!!

A: Given differential equation is y''+2y=secx. We have to solve the given differential equation. Write…

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Q: Solve the Dirichlet problem 22 + y? < 1 a2 + y? = 1 Au(x, y) = 0 u(z, y) = y?

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Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = |. 3 dt 8 %3D %3D e2t

A: Given: f(t)=∫0∞sin(t+a)cos(t+a)e2tdt=38 To find: Find the value of a by find integration using…

Q: Describe the graph of the equation. r = 8 cos t i – 18 sin t j + k O An ellipse in the planex = 1,…

A: Equation in the vector form

Q: Calculate the value of the error with one decimal place for: z = x/y where x = 6.2 +/- 0.3 and y =…

A: Given that,z=xyx=6.2±0.3y=2.0±0.2The error with one decimal place is calculated as shown below.

Q: find The aea bounded by the and the line y-3* Eunve X-+4

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Q: For each of the following series determine if the series converges or diverges. In(n) n n=2 n3 n=0…

A: Series and sequences, integral test

Q: d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: Find the derivatives of the given vectors :-

Q: Find approximate value of the derivati f(x0)-6f(x,)+3f(x,)+2f(x,) f'(x2) = 6h f(x) = 10 sin(20x²) Ax…

A: Solution :-

Q: Find the Laplace transform of: 1. f(t) = e(-30) sin(2t) cos(3t) cosh(t)

A: Given function can be written as ft=e-3tsin2tcos3tet+e-t2=e-3tet+e-t2sin2tcos3t

Q: Let h: G G be a group homomorphism, and gEG is an element of order 35. Then the possible order of…

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Q: Consider the equation 4y"+by'+cy=0 and the nonzero real constants b, c, m and n. If the general…

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Q: 23. Find the general solution of x (* - 2)y" - (x? - 2)y' + 2(x - 1)y = 3x(x - 2)e", 3x (* - 2)°e*,…

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Q: Consider the differential equation: xy" – y' 18y (1) Making the changes of variable x= e', y=…

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Q: 22. Show with one picture that 2/3 is equivalent to 10/15 in a continuous case. Explain how your…

A: Note: To find the equivalent fractions for any given fraction, multiply the numerator and the…

Q: Find the inverse transform of the given functions: 4s2-4s+1 1. F(s) = (s3–4s2+s+6)(s²+5) 3s-6 5s 3.…

A: Inverse Laplace transferom of the function

Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1

A: Given system is X' = 111111-2-2-2 X Take X' =A X Here, A=  111111-2-2-2

Q: (a) Consider the following Graph G in a Graph Database: V11 {V10 V9 V12 V: V8 V6 Figure 5: Graph G…

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Q: Find the inverse transform of the given functions: 3s2+5s+5 1. F(s): (s3+8s2+19s+12)(s³) 2. F(s):…

A: You post more than 1 questions with 2-subparts, as per our guideline we can solve only first…

Q: (26. Ax)= x//x² + 1

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Q: Find the Laplace transform of the following: 1. f(t) = e-2t+5) sin³(8t) 3

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Q: Refer to the following matrices. A = [ -1  4           3  -4          3  0 ]       B =  [  2  3…

A: Given ,  A = [ -1 4           3 -4          3 0 ]       B = [ 2 3           3 1          -2 2 ] We…

Q: Find the centroid of the region. NOTE: Enter the exact answers. (a, 9) =| (?, ?) %3D y = x7 1

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Q: ® Consider the linear system (3 X +2Y 3X + (6+t) y = 30 ) Determine aparticular value oft, so that…

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Q: Perform the change of variables indicated in the problem to obtain the general solution to the…

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Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]² 2. f(t) = V1+ sin t + (6t)13 +…

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Q: Resolve the following CNF's to falsm. x, y, z are variables and A is a constant. { P( f(x), x), (…

A: Let x, y, z are variables and A is a constant { P( f(x), x), ( Ø P(z, y), Ø P(y, A) ), P(y, z) }

Q: (5) If z = xf (2) +g (2), then the value of Z. + 2xy- + y?. is Əxdy (а) -1 (b) 0 (c) 2 (d) 3г

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Q: 4. Calculate the arc length of the polar curve r = e38 from 0 = 0 to 0 = 2.

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Q: Write down the expression for the Euclidean norm of a vector x with n components. Write down three…

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Q: Consider the Bessel's equation of order : x*y" + xy + (x² -)y = 0. (a) Show that the recurrence…

A: Given, Bessel's equation of order 12 is x2y''+xy'+x2-14y=0

Q: Verify F(1,1; 2; x) = -x¯ln(1 – x) By expanding each function in a power series about x = 0.

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Q: Find the line of intersection of the planes z + 2y – z = 1 and z + y + z = 1. Lütfen birini seçin:…

A: Given equation of plane is x+2y−z=1 and x+y+z=1. We have to find the line intersecting of the plane…

Q: 4. Is the graph below bipartite? If so, list the vertices in the one part and the vertices in the…

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Q: What are the points in an elliptic curve y2=x3+ 12345 x + 23456 (mod 23459) at x=1? Use one of those…

A: As per the question we are given the following modular elliptic curve : y2 = x3 + 12345x + 23456…

Q: x + y ) The function f(x, y) = (x, y) + (0,0), is x - y 0 (a, y) = (0,0) (a) continuous at (0,0) but…

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Q: The complex number z is defined by z = 3·z + 4.j where z is real. a) Find, in terms of z, the real…

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Q: Find the inverse transform of the given functions: 35+5s+5 1. F(s) = (s3+852+195+12)(s³)

A: Factor the denominator of 3s2+5s+5(s3+8s2+19s+12)s3. 3s2+5s+5(s3+8s2+19s+12)s3=3s2+5s+5s+1s+3s+4s3…

Q: 8-x²-y² Use cylindrical or spherical coordinates to evaluate the integral. J. J. J z?dzdxdy. A…

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Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1 1 X' = 1 X -2 -2 -2 X(t)…

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Q: 4. 2y"+xy'-4y = 0

A: Power series solution of the differential equation