H.W: Find inverse Laplace transform: 3s+7 1) F(s) = - s2-2s-3

Q: Sr 'dx integralini Trapezoidal yöntemini kullanarak yaklaşık olarak hesaplayınız. Use the Trapezoida...

A: To evaluate the given integral using Trapezoidal rule. 

Q: 1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of 1...

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Q: Consider the following. f(x, y) = x2ey,   P(4, 0),   u =  1 5 (3i − 4j)               (b) Evaluate t...

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Q: (x2 +y²)dx + xy dy = 0 r.

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Q: Nhat is the equation of the family of parabolas with vertex and focus on the y-axis? A (y-k)² = ± 4a...

A: A parabola is an equation of curve in which a point on the curve is equidistant from a fixed point a...

Q: Evaluate the integral S de using the two-point Gaussian quadrature rule

A: For the integral I=∫abf(x)dx, the Gaussian quadrature 2-point formula is,I=b-a2w1fm1+w2fx2where  x1=...

Q: A(if both statements are true), B(if the 1st statement is true but the 2nd is false), C(if the 1st s...

A: We have to check whether the given both statement are true or false. Definition of order of PDE:- Th...

Q: Q4. Use Newton forward-difference formula and construct appropriate interpolating polynomial and app...

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Q: B^T *A^T=C A = B = 12 -21| 13 22 14 -11 23 -18 11 21 13 25 17 -24 22 15 -10 -23

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Q: Describe object/s that model each of the following: parallel lines, perpendicular lines, skew lines,...

A: Parallel line = railroad The two sides of the rail roads are designed to be parallel so they will ne...

Q: sin(2 – 3i) cos(3 –- 2i)

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Q: Locate the saddle points, if any f (x, y) = x² + xy – 2y – 2x +1 - A. Saddle point at (1, 2) B. Sadd...

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Q: I Solve the differential equations (x²+xy²_x')dx +( *y-y³) dy = 0

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Q: Find the general solution of the given differential equation x²y" – 4xy' + 6y = 0

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Q: True/False: The function f(r, y) = xy + + 4 has a saddle point at (2,1). O True O False

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Q: f(x) = x In² x fonksiyonunun xo P3(x)' i kullanarak f(2) değerini yaklaşık olarak hesaplayınız. 1 no...

A: The standard form of a third degree Taylor of a function fx centered at x=a is defined as follows:

Q: (x²y² – y3 x2 + y2 if (x, y) # (0,0) f(x,y) 0, if (x, y) = (0,0) %3D (a) Determine the existence of ...

A: Given function f(x,y)=x2y2-y3x2+y2, if (x,y)≠(0,0)0, if (x,y)=(0,0) Now Let x=rcosθ,y=rsinθ,x2+y2=r2...

Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for ...

Q: Tree vestog are orientTag vestore ag ghownn inn thve figre belw. The modwes of vestors are w = W = 3...

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Q: In integrating the function fx' In Sx dx using integration by parts, what would you choose for your ...

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Q: Kahlil is 56years old .Catherine is 6 years older than Brody. The sum of Catherine and Brody' s ages...

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Q: Consider the following. f(x, y) = 3ex sin(y) b. Determine ∇f(x, y) at the point 0,...

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Q: What is the degree of the differential equation? d²y dy 1 2 %3D `dx' dx2 2 3 4

A: Given differential equation is dydx12+y2=d2ydx2......1. We have to find the degree of the differenti...

Q: Use the mean value theorem to show that |sin a – sin b| < |a real values of a and b where a + b

A: let f(x)= sin x f is continuous  on [a,b] and differentiable  on (a,b) Therefore there exist  c such...

Q: 1. Suppose a and b are real numbers. Prove that if 0< a < b then 1/b < 1/a

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Q: Use three-point midpoint formula to evaluate the first derivative of y = sin(x) at x = using a value...

A: To find- Use three-point midpoint formula to evaluate the first derivative of y = sinx at x = π2 usi...

Q: Answer in Rectangular Form and in 4 decimal places

A: Here we can use the following formula to write the above complex number in rectangular form: sec z=1...

Q: How long is the radius of the circle x + 2ax + y + 2by = 0 units a + b units Va + b units a +b units

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Q: Consider the function f(x) = x³. Construct the Lagrange interpolation polynomial which interpolates ...

A: We have to find the Lagrange's interpolation polynomial of the function fx=x3 using the given values...

Q: (a) Solve the equation 163x-1 = 8*+2. %3D (b) Given that = aPb9, find the value of each of the const...

A: Please find attachment for the details solution

Q: Q.1. Justify why the level curves very close to the origin (0, 0) for the function f(r, y) = (1-)(1-...

A: To find the level curves, equate the function fx,y with a constant C.

Q: -1.25 4 dr e 0.25

A: Given: ∫0.251.25e-4x2dx

Q: By using Laplace transform to solve y +y = tet with y (0) = -2, what would the particular solution b...

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Q: G+b=6 B+S=10 S+g=8 G=?

A: To solve the equation 3 equation with  3 variable Consider two equation and eliminate one of the va...

Q: Which of the following differential equations can be solved by separation of variables? A) sin 2y dx...

A: A Given differential equation ex2sin2ydx−3x−1cos2ydy=0......1. Simplify the equation 1 ⇒ex2sin2ydx=3...

Q: C(c1, C2, $1, A1, A2) = u(c1) + u(c2)+ A1 [Y – P;C1 – s1] + A2 [(1+r)s1 – P,c2] . Take the first ord...

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Q: Consider the series EE. a) Use the ratio test to show the series converges. b) Use the root test to ...

A: Series and sequences

Q: 5. -dx

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Q: is d X

A: The given integral is∫01xx2+5dx substitute  x2+5=u2xdx=du  

Q: let S(x) be its Fourier series. use Dirichlet’s theorem, Find values of S(0),S(1),S(−2), and S(2)?

A: conditions for existence of fourier series i.e., dirichlet conditions 1.signal should have finite no...

Q: Use the bisection method to find p3 for ƒ(x) = x² + x – 1 on [0, 2] .

A: Calculate the value of the function at the mid-point of the interval.

Q: 1. Agutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches w...

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its cr...

Q: Using Fixed-Point Iteration with an initial value of 4, HOW MANY NUMBER OF ITERATIONS are needed to ...

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Q: Compute for in, the effective rate of interest for the nth period, given that (a) interest accrues a...

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Q: Using Fixed-Point Iteration with an initial value of zero, find a root of the function: f (x) = x + ...

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Q: 5. f(x) = 2x2 – x + 6 for all values of x %3D 6. f(x) = at x = 2 %3D X-2

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Q: QUESTION 6 Q2 represent the a Continous Assessment Question Alternative solution exists in a linear ...

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Q: (a) Compute and simplify S(x) (the Fourier series of f). (b) Simplify the expression of S(7). (It wi...

A: Given- Let f be defined on -π, π by  fx = 0,-π &lt; x &lt; 0,x2,0 &lt; x &lt; π To find-  Compute a...

Q: Problem 4. Recall that in the notes, we thought about the following transformation: Let V be an n-di...

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Q: (a) Compute and simplify S(x) (the Fourier series of f). (b) Simplify the expression of S(T). (It wi...

A: As per the guidelines, first three sub parts only need to be answered when multiple sub parts posted...