Find the inverse Laplace transform. F(s) = 1/s(s^2+49)

Q: (a) Using only the e,6-definition of limit, prove that 1 lim = 1. x--1 x2 (b) Let n be a fixed…

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Q: If the n-th partial sum of a series (n=1 to infinity) an is sn =(3n + 5)/(2n − 1) find the…

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Q: Verify the identity cot x=sin2x/1-cos2x Use the appropriate double-anhle formulas to rewrite the…

A: Given: cotx=sin2x1-cos2x To verify: The given identity.

Q: Let n be a fixed positive integer. Find the following limit and simplify the answer. 'et+ e2x…

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Q: Eind the volumeot the solid genratal by Revoleiay theregion bounded by the curve yax?and the. line…

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Q: 5. Prove that 0.6999999... = 0.7000000....

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Q: Q-IV) ---- Let u b. be vectors in R. (a) Verify that B (u, v, w) is an orthogonal basis for R. (b)…

A: Note: A set of vectors S is said to a basis of Rn if S consist of n linearly independent vectors in…

Q: Determine the present value of P 6,800 paid at the end of each subsequent quarter for 7 years if…

A: Given information PMT=$6,800 Rate of interest r=6% ⇒r=6100=0.06 Time t=7 years Since, interest is…

Q: 14. Briefly explain why || d || == || c || when d=axb and || a ||=1. a b d

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Q: To find: the whether the given telescopic series converges or not by finding the limit of the sum of…

A: Given series is ∑k=1∞1k0.1 - 1(k+1)0.1

Q: Directions: Study the horizontal double bar graph and answer the questions that follow. Write your…

A: Horizontal Double bar graph ki given in question and according to this graph

Q: A particular specie of animal has a carrying capacity of K and a growth rate of r. From an initial…

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

Q: Draw the graph of the piecewise function, g(t), and use the methods in 7.3.2 to find its Lap…

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Q: If u = x3 + y3 where x = a cos t, y = b sin t, then du dt

A: Solution

Q: 6) If d +1 is the smallest positive divisor of an integer n, then d is prime. a) True b) False O a)…

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Q: 2. Use Stokes' Theorem to evaluate ſ. V × F·n dS where F(x, y, z) = and C is the part of the sphere…

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Q: By Use the Trapezoidal rule with step size h=1 the integral If(x)Fdx where a table of values for the…

A: We need to find ∫02f(x)2dx, So we need to find the values of f(x)2

Q: Let A and B be infinite sets that are countable. Do A and B necessarily have the same cardinality as…

A: Given question is Let A and B be infinite sets that are countable. Do A and B necessarily have the…

Q: Evaluate the triple integral z dV, where E is bounded by the cylinder y + z? = 16 and the planes E x…

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Q: Suppose A is a 3 x 4 matrix. (a) List all possible values for the rank of A (no justification…

A: (a) It is given that A is 3×4 matrix. The rank of a matrix is the dimension of the row-space. The…

Q: What is the chromatic number of C1024 the cycle with 1024 vertices

A: Given clear answer 33 is the chromatic number

Q: A. Let p(x) = 2x + 5x-3,m(x) = 2x- 1,and h(x) = Find: 1. (m-p)(x) 2. p(5)+ m(3)-h(1) +1 %3D x-2 3.…

A: A Given px=2x2+5x−3, mx=2x−1and hx=x+1x−2. 1 We have to find the m−px.…

Q: Give the VALUE only. No need to include the unit. * A chemical manufacturer sells sulfuric acid in…

A: We have Cx=100000+50x+0.0025x2 Now, the price is $100 per unit and production is of x units, then…

Q: Q18: Select the incorrect step while evaluating J x2-7x+10 dx. x-8 I: Let I = S- dx = S dx - S dx…

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Q: How many different four-letter passwords can be formed from the letters A, B, C, D, E, F, G and H if…

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Q: Hannah expects to receive Php 200,000 five years from now. How much is the money worth now if the…

A: Given Future amount = A = Php 200,000 Time = t = 5 years Interest rate = r = 10% compounded monthly

Q: What is the domination set , know it and give it examples

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Q: 2. of the cylinder in cubic inches, cubic centimeters, and liters. A cylinder has a circular base…

A: Given cylinder has circular base with radius 4 inches and a height of 10 inches. Formula for volume…

Q: Place the compass point at the vertex and open the compass up. Swing the compass over both sides of…

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Q: (9) Let T: R. -R? be a linear transformation. Suppose T(u) = and T(v) = What is T(2u -3v)?

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Q: 00 4" Use the ratio test to determine whether > converges or diverges. (2n)! n=7 (a) Find the ratio…

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Q: et L: M2x2 - M2x2 be the linear transformation defined by L(A) = 414, %3D or matrix A in M2x2-…

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Q: Q-II) Use row operations to find the inverse of the matrix A 01 0 0 1

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Q: Solve the initial value problem. y'+3y 1, y(0) = 1 y=D

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Q: 1) y" – 3y' + 2y = f(t), y(0) = 1, y'(0) = 0; %3D

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Q: Using implicit differentiation, find the slope of the tangent line at the point (9,16) on the curve…

A: Given curve, x+y=7 and point (9,16)

Q: If u = x3 + y3 where x = a cos t, y = b sin t, then %3D du dt

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Q: Example 1.2 (i) Determine if the following series converge or diverge. a) k+3 (-1)*-1 k k(k+1) k-1…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Q3. Tangents are drawn from 0(0,0) to the circle x2 + y? – 2x + 4y + 1 = 0, touching the circle at L…

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Q: (5) Yz-3-4i, what is in standard form a+ ib?

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Q: 11. (x In y + xy) dx + (y In x + xy) dy = 0;

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Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

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Q: 9 5 B D CA A C A D B Number of voters 9 11 22 1st choice D A 2nd choice 3rd choice B В D 4th choice…

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) z+ 2y = 3 ,y (0) =…

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Q: Find the critical points and determine if the function is increasing or decreasing at the given…

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Q: Q-II) Use row operations to find the inverse of the matrix A 011 00 1

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Q: Q-V) Let u= and w- Find the unique vector v- in R such that u.v 1, v is orthogonal to w, ||v|| - V3,…

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Q: True / False (no work needed): Approximating the integral x* – 5x² +x dx with Composite Simpson's…

A: TRUE , because error in the Simpson's 1/3 rule us of order h4.

Q: Find all solutions in {0, 1,2, ..., 12} to x26 + 15x13 = 12 mod 13.

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Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (v2,0). What is its…

A: Solution