Determine X(S) expressed as a rational polynomial with simplified numerator and factored denominator a. x(t) = d/dt {3e-2tcos(t)u(t)} - use theorem on derivative

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Q: Find the general solution of the equation y" - 2y' - 3y = 4x −5+ 6xe ²x

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Q: Use the least squares approximation to obtain a formula of the type P(x) = Aekx from the following…

A: To fit an exponential curve y=aebx, take logarithm on both sides of the equation and convert it as a…

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Q: Suppose that (a) n=0 Cnxn converges when x = -4 and diverges when x = 6. What can be said about the…

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Q: find the number of the isomorphism classes of graphs with 5 vertices and 6 edges which have (i)…

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Q: A new airline has decided to join the market. It is considering offering flights out of Cagayan, and…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: What is the area of this figure? 5 m 4 m 8 m 2 m 13 m

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Q: (3-zi) (x+y)=3+2i +ゾー

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Q: Solve: си -|P TE I/2 22 (1) 24 ( он То dt

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Q: Find the area of the region bounded by the curves y = sin (7x), y + 1 = x², 3x = -2y on the interval…

A: 1st we will draw the solid of rotation and then use cylindrical/shell method to find volume of the…

Q: 1. Figure out the Z transform F(z) of the unit ramp function f(t). f(t) = { t20 t<0

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Q: 9- Determine the type and convergence of the improper integral e -2x √2x dr. 3rd type (both first…

A: The given integral is ∫0∞e-2x2xdx To find: the correct option.

Q: Solve: ch= 긍 I/2 برایم (1) -on? To dt

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Q: Find the inverse of the following matrix A, if possible. Check that AA1 and A1., •A=I. A = -2-4 -2-4…

A: given :  A = -2-4-2-4   To find : A-1

Q: the lengths of a female humerus and a male humerus are equal when

A: We will find length of  humerus when height of both male and female become equal .

Q: d and e is not solved

A: We already have  A(t)=t23t43-2t-13-t23 and general solution  x(t)=3+t3c1+t2c2-tc1-c2

Q: (6) Using suitable transformations, evaluate closed region in the first octant bounded by the…

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Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

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Q: * finel fx, fxx, by

A: Note:- As per our guidelines, we can answer first three sub-parts of this problem as exactly three…

Q: 12. The part of the cylinder x² + z² = 16 that lies between the planes x Find the area of the…

A: We know that if height of a cylinder be h Units and radius be r units then curved surface area of…

Q: Simplify the followingwith 5 3+1 сеструtue deного inator

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Q: At how many points do the curves r₁ (t) = ((t+1)², -t2- 2t, t+2) and r₂ (t) = (1 − t², t, t)…

A: This is the problem of parametric equations and the theory of curves.

Q: A tank contains 1000 liters (L) of a solution consisting of 140 kg of salt dissolved in water. Pure…

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Q: use to Fixed point iteration method solve FØx1= e-x Xo=0 A=4

A: Given function is fx=e−x and x0=0, n=4. We have to solve the fx=e−x by using fixed point iteration…

Q: 1. Στ n=1 n²e-n³ determine if each of the following series is convergent or divergent: 2. ∞ n=1 n+ 1…

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Q: 2. Use the derivative test to determine if the following sequences are monotonic increasing,…

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Q: Let (..) be the usual inner product on the complex vector space (₂[x]. Recall that is a…

A: Given : T : ℂ2x → ℂ  defined by  Tgx = g(x), x,  where . , . is the usual inner product on ℂ2x. To…

Q: (3-zi) (x+y)=3+2i x+2=1 X

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Q: If Y = f(x) = 6/x^3, find dy/dx? Select one: O a. (-18)/x^4 O b. (-9)/x^3 O c. 6X^2 O d. 18x^3

A: Sol:- Given:- Y=f(X)=6X3

Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

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Q: Use a fixed-point iteration method and find på with po = 1 for 2x³ - x - 2. f(x) = 2x³

A: Given,         f(x)=2x3-x-2,      p0=1

Q: Create a truth table for the statement: r⇒ (p^q)

A: Answer :- Truth Table can be formulated as given below:-

Q: There are 860 freshmen. If that is 43% of the class, how many are in the class?

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Q: Consider the following nonhomogeneous heat boundary-value problem (BVP): u, (x,t) u (x,t) + cos x,…

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Q: Taylor polynor Estimate the e approximation

A: In mathematics, the Taylor series of a function is an horizonless sum of terms that are expressed in…

Q: Use arcs and lines to construct perpendicular lines. Draw a line and a Construct a second line…

A: The arcs can be drawn on a sheet of paper but the construction is to be done on any tool software…

Q: Let L be the line with parametric equations x = 2+t, y = 5-2t, z = 4 + 3t. Let S be the plane that…

A: Given L is the line with parametric equations x = 2 + t , y = 5-2t , z = 4 + 3t . Let S be the plane…

Q: Show justifying that if A and B are square matrixes that are invertible of order n, A-¹BA then the…

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Q: Let A = 0 1] 3 03 0 0 2 = If possible, construct P and D such that A don't need to compute P-¹).…

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Q: 3. p(x) = −(x − 1)(x + 1)(x + 2022) the characteristic polynomial of 1 € M3x3(C). Then: a) A is…

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Q: espect to some norm on X, but discontinuous with respect to another orm on X. To illustrate this,…

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Given integration is I=∫0πsin(t)dt Here  f(t)=sin(t) n=4 So length of subinterval is…

Q: The price was $450 before 8% tax was added on. What is the price after tax?

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Q: (a) Use differentiation to find a power series representation for f(x) = co f(x) = Σ n = 0 What is…

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Q: Consider the nonlinear planar system y'=3x-x² a. Find all of its stationary solutions. b. Find a…

A: Consider the non-planar system of equations: x'=3y-6 Integrating both sides we get: x=3y22-6y…

Q: Do question 4

A: We solve by using Ratio Test.

Q: 7. Neglecting air resistance, an object is dropped from an airplane flying horizontally at a height…

A: Solution: Given, An object is dropped from a height (x) = 30,000 ft We can calculate the time taken…

Q: Note: Answer all the questions. Ꭷ дуг ď²v 1. (a) If v zlog(x + r) - r, where r² = x² + y², then show…

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Q: Minimize c=2x+10y subject to x+3y > 10,  3x+4y > 20 x,y, >0 using simplex method.

A: The problem is converted to canonical form by adding slack, surplus and artificial variables as…