How to get (t) when: h= -0.00439t^4+0.04293t^3-0.17316t^2-0.2711t+59471 And h=0

Q: Solve the DE using laplace transformation: x'''(t)-3x''(t)-4x'(t)+12x(t)=12e^(-t); x(0)=4, x'(0)=2,…

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Q: Solve the initial value problem √y dx + (x - 2)dy = 0, y(3)=9 The solution is -2√y = In |x-2- -…

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Q: II. SET-UP a triple integral that will solve for the volume inside the sphere x² + y² + z² = 2z and…

A: According to the given surfaces, x2+y2+z2=2z and x2+y2=zThe limits for y is from 2z-z2-x2   to…

Q: 2. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

A: We have to set up integral that represents the area of region.

Q: The solution in implicit form is where C is an arbitrary constant. = C ||

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of 3 f(x) = n(1+x²).

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Q: L-1{6(s+1)} 54 a. 3t² +t3 b. 3t³+ t² c. 6t² + ³ C. d. 6t³ + t² لاح

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for ƒ(x, y) = e-¹²-y² for…

A: The given problem is to find the 1st order and 2nd order taylor polynomials for the given…

Q: Find a closed form for the generating function of n3" (n ≥ 0). the sequence an Clearly show all…

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Q: 7. 3s+4 L-1{ s²+4s+5- 2t a. e²t (3 cost - 2 sin t) b.e-2t (3 sint 2 cost) – c. e2t (3 sint 2 cost)…

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Q: ries solutions of t

A: Given differential equation 2xy''+5y'+xy=0         ...i find the singular point and classify the…

Q: Use power series to evaluate the following. Please show the steps clearly.

A: To find the sum of the given series ,we rewrite and using a known series at perticular point . Here…

Q: +00 1 Σ n=3 n · . Inn - +00 Σ m=1 3η5 + cos2 n – 1 4m? – 15 + π

A: The given problem is to determine the given series is convergent or divergent using convergence…

Q: Describe the level curves of f(x, y) = x + 2y Sketch the level curves for c = ±1, ±2, ±3, ±4.

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Q: Sketch the region corresponding to the double integral .-1+√3 /1-y² dx dy and reverse the order of…

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Q: A. Given the matrix R =  2          −1                                        1           3  i.…

A: Given, matrix R=2-113

Q: 12. Z z²+1

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Q: tudy the power series: - Using Limit Comparison Test show that this series converges when x = −2.…

A: This is a question of sequence and series.

Q: Find the the of 1) Sketch the area ii) Determine the boundaries i) set-up the iv) Integrate 3 x =…

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Q: FINAL- Mathematics Together two computers cost $2700 per year to rent. If one costs twice as much as…

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Q: (3) Prove the Generalized Triangle Inequality: if a₁, a2,..., an € R then [a₁ + a2 + (Hint: Use the…

A: We need to prove generalized triangular inequality, That is , if a1 , a2 , ....... , an ∈ ℝ  then…

Q: 2. Plot sin (x) and cos (x) on the same figure, then on the same axis using different colors. Where…

A: The graph of sinx for 0<x<2π is:   The graph of cosx for 0<x<2π is:

Q: Identify if n-1 The series 1 + 2 + ( )²+…+(?)”¯¹ is: Convergence Divergence Σ n=1 Convergence…

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Q: s] Set up only a triple integral that will give the following: (a) the volume of R using cylindrical…

A: We will use relation between cartesian and cylindrical co ordinate system to get integral  x= r cosθ…

Q: How do you solve for the inverse of of each element of ℤ7 with respect to ×7?

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Q: Given U = 2xy, Px = 3, Py = 4, and I = 90 Use the Lagrange multiplier method to find the optimal…

A: Given :          U=2xy, Px=3, Py=4, and I=90 We have to use the Lagrange multiplier method to find…

Q: The statement form (ac) ⇒ (bc) is equivalent to O [(~avc) ^ (av~c)] ^ [(~b v c) ^ (b v~c)] ~[(~a v…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 4. Determine two equations, one in terms of sine and the other in terms of cosine for the following.

A: To determine the two equations, we just have to evaluate one of them andthe other can simply be…

Q: 2. Determine the values of ʼn and h required to approximate fx²sin (-x) dx to within 10% using the…

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Q: Find the line integral of F = 2√√zi-4xj + 3√yk, from (0,0,0) to (1,1,1) over each of the following…

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Q: 14. Using the graph, did gross sales increase or decrease from January 2019 to February 2019? a.…

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Q: 6. L~1{6(s+1)} a. 3t² +t³ b.3t³ + t² c. 6t² + t³ d. 6t³ + t²

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Q: 1. Consider finding the root of f(x)=x²-3. Let Estep=0.01, Eabs = 0.01 and start with the interval…

A: Given,        f(x)=x3-3  and with the interval 1, 2.

Q: -=f"(() is The degree of precision of a quadrature formula whose error term is :-

A: To find- The degree of precision of a quadrature formula whose error term is: -h336f''ξ is

Q: If a subadditive functional p on a normed space X is continuous at 0 and p(0) = 0, show that p is…

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Q: For each of the given paths, verify Green's Theorem by showing that dA. Also, explain which integral…

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Q: L{tcost + sint} 3. 2s a. (s²+1) 2s b. (s²+1)² 2s² C. (s²+1)² 2s² d. (s²+1)

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Q: 1. Use the power series 1 (-1)-1-1, x + 1 n=1 to find a power series, centered at 0, of the…

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Q: du dt =

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of f(x) = ln(1 + x²).

A: Given function is  fx=ln1+x2

Q: Use divergence theorem to find the flux of F(x, y, z)=x²yî - xy²)+(2+2); o is the surface of the…

A: The given problem is to find the flux of the given vector field over the given surface bounded above…

Q: Sketch the region corresponding to the double integral NEW dx dy 0 and reverse the order of…

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Q: 2x₁6x₂x3 = -38 Given the linear system -3x₁-x₂+7x₂=-34 -8x₁+x₂-2x3 = -20 , determine the values of…

A: 2x1- 6x2 -x3 = -38-3x1-x2+7x3 = -34-8x1 +x2 -2x3 =-20 We take x1=a,  x2=b,  x3=c for our convenience…

Q: Use the chain rule to find where First the pieces: End result (in terms of just t): = 历 内 z = x²y +…

A: Here given that                       z=x2y+xy2,  x=3-t3,  y=3-t6 We have to find dzdt by using…

Q: II. SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere a² + y²…

A: We will use cylindrical system to find volume  Relation between cartesian and  x=r cosθ , y=rsinθ ,…

Q: ∞O ∞ Suppose an>0 and a diverges. Prove that n = 1 n = 1 an contrary suppose an 1+ an 1+ an…

A: Let us assume that ∑n=0∞an1+an converges. Then  limn→∞an1+an=0 So,…

Q: -x2 + x1 = 1 2x₂ + x3 + x4 = 2 −x2 + x3 + x4 + 3x1 = 5

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Q: L{12te-³t} 12 a. (s+3) 12 b. (s+3)² 1 C. (s+3)² 12 d.- (s+3)3

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Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x):= 3x² around the point c = 1 and give…

A: Taylor Series :- Let f(x) be a real function then Taylor Series about a function x = a is fx ≈ f'(a)…

Q: Find a closed form for the generating function of the sequence an n3″ (n ≥ 0). Clearly show all…

A: The given sequence is: an=n3n for n≥0 The generating function of the sequence is defined as:…