Some help with this calculus continouity question please!

Q: The local theater has an area of 2,121 square feet. At the last banquet, the fire department…

A: The area is 2121 square feet and the population density is 0.1428 people per square foot. Now,…

Q: Question 21 Find the Laplace Transform of g(t) = e3t + cos(6t) - e3cos6t 6 s+3 (A) G(s) = s+3 (s –…

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Q: Let V be the set of all positive real numbers. Determine whether V is a vector space with the…

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Q: Let f(x, y) = xy+ + 2x²y + 4y5 (a) Find fr- (b) Find fy-

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Q: Solue paramefer methrde ezE

A: Method of Variation of perameters

Q: 3s Find the Inverse Laplace Transform of s2+4s+ 13 (А) -2° ( 3sin3t+2cos3t) B e" (3cos2t – 2sin2t)…

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Q: Find the Taylor polynomial T2(x) for the function f(x) = 4e³x at x = 0. (Use symbolic notation and…

A: Solution

Q: Solve the given system of linear equations using the Gauss- Jordan Elimination. 2.) 2x1 - 2x2 + x3…

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Q: 6. ¬ (A V q) ^ (A ^ q) is a a) Tautology b) Contradiction c) Contingency d) None of the mentioned 7.…

A: tautology= is an expression involving logical variables which is true for all cases is called…

Q: Use (11.6) and (11.14) to (11.16) to evaluate the following integrals. Warning hint: See comments…

A: introduction: The Dirac delta function is a very important special function in mathematics. It is…

Q: -2 -5 8 0 -17] 1 3 -5 1 . Consider A = 3 11 -19 7 1 7 -13 5 -3 a. Find the basis for, and the…

A: By Bartleby policy I supposed to solve first 3 subparts.Post separately remaining part(s).  Matrix A…

Q: x + 5 dx 0. 6.

A: Question from definite integration.

Q: 92 article in the Journal of the American Medical Association ("A Critical Appraisal of 98.6 Degrees…

A: Sample size less than 30 so we use t test

Q: In this question, you are asked to comment on a student's attempt at answering the question detailed…

A: I find out that, two mistakes As BP is hypotenuse  and CP is height of triangle, So BP should be…

Q: . Solve the following quadratic equations ( hint use the quadratic formula) a) 2x2 - x - 6 = 0…

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Q: The table gives the readings from a laboratory experiment 3 6. 9. 17 49 71 161 A curve of the form…

A: Given the data of label experiment data  t 2 3 5 6 9 y 7 17 49 71 161 We have to use method…

Q: Recall from calculus, if a function is differentiable at a point c, then it is continuous at c, but…

A: If a function is differentiable at point c, then it is continuous at c but converse is not true,for…

Q: The natural numbers are N= {1,2,3,..}. The prime numbers are P = {2,3,5,7...}. True or false? {2}sP…

A: The given problem is to determine whether the statement is True or False. To check whether the {2}…

Q: 2.x if 0<x<T/2 2. Find the Fourier series of f(x)= f(x+x)= f(x). if a/2<x <T

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Q: Solve the given differential equation. x2y" - 3xy' - 3y = 0 y(x) = ,X > 0

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Q: Let V = {(z, y)|r, y € R} with addition and scalar multiplication defined as u + v = (u + v, - 3, uz…

A: Use the given information.

Q: (e + x + 2)dx 3.

A: The sum rule for integration states that ∫fx+gxdx=∫fxdx+∫gxdx. The integration formula for…

Q: A certain factory using x do-dads and y widgets per hour will produce: T(x, y) = 20x?y thingamabobs…

A: A certain factory using x do-dads and y widgets per hour will produce: T(x,y)=20x2y thingamabobs per…

Q: Let M be a 10 × 10 real matrix such that M2 = M and the determinant of the matrix cannot be 1. Does…

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Q: ds What is the general solution to the differential equation 2 = 5t's³? %3D dt

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Q: What is the general solution to the differential equation 2 dt S - - - 5t3s3 ? t = s²(C – t*) t =…

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Q: | 3sin(2x) + 1ldæ 4.

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Q: Find the root of x² – e2* = 0 using: a. Bisection method between [0, 1] b. Simple Fixed-Point…

A: (a) for f(x) = x2 - e(-2x) , using a=0 and b=1, we get the following table of iterations. Thus, we…

Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 -'cos3t B -Isin9t 3 cost 9 -'sin3t (D 3

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Q: a×a×a×c×c×c

A: Given expression is a×a×a×c×c×c. We have to simplify the given expression. We know that…

Q: Use the chain rule to find the value of 4 when t= 1. dt z = 2x2 – 2y, x = 2 + 2, y = 6t – 6

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Q: 1+x2 n = 10 Approximate the integral use the Simpson 1/3 Rule 4 dx n = 10

A: Here f(x) = 11 + x2h = b - aN = 4 - 010 = 0.4 The value of table for x and y x 0 0.4 0.8 1.2 1.6…

Q: 1. 43y こ。 It ex

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Q: 2x 1- if 0<x<a/2 Find the Fourier series of f(x)= f(x+7)= f(x). if a/2<x < T

A: The given problem is to find the Fourier series expansion of the given periodic function with period…

Q: Consider the following IVP: 1. y"+a2y = 0; y(0) = 1, y'(0) = 0

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Q: • v2 = (,- : Let W be the subspace of R* spanned by the vectors (1, 0, 1, 0), u2 (0, —1, 1, 0), and…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 1 + e2t L{f(t)} =

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Q: Given three sets A, B, and C. A = {x €Z|-2<x<1},B= {x€Z]x2-1=0}, C= {0, – 1,- 2, -3}. (a) List…

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Q: s] Assume that is an operation on S with identity element e, and that x * (y * 2) = (x * z2) * y for…

A: A operation  " o " on S is said to be commutative if x o y = y o x  for all x and y in S  And…

Q: Find the Laplace Transform of (t? +4t + 2)e* 2 (A (s – 3) 3' (s- 3)² 's-3 4 2 B (s – 3) 3 (8 – 3) 2…

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Q: Which of the following is the general solution to the differential equation (Зх + 2у + 4)dx+ (3x +…

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Q: Find the volume of the solid that results when the region enclosed by the curves is revolved about…

A: Introduction: The definite integral can also be used to calculate the volume of a solid generated by…

Q: - dA = in( Show that, in the region D: 0 < x <1, 0<y< x², the following double integral y dA x5 + 1…

A: Given the integration ∫∫Dyx5+1dA and the region D: 0≤x≤1, 0≤y≤x2

Q: 8 3 Find the Inverse Laplace Transform of- + 3s2+ 12 s2– 49 3 4 A) - sin2t + -cosh ( 7t) 7 3 4 –…

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Q: Consider the following function. f(x, y) = [v + 2) In x] – xe2y – x(v – 1)3 (a) Find fa(1, 0) . (b)…

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Q: .If a v x = b v x and a v x' = b v x', then prove that a = b.

A: boolean

Q: 19-20 Set up the triple integral of an arbitrary continuous function f (æ, y, z) in cylindrical or…

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Q: Is the solution region bounded or unbounded? -x+y s 5 xs 13 x 2 0 y 2 0 ... The region is because it…

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Q: x³y" + 3x?y" = 2x +1

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Q: solve parameter method J-yこ cosh x y"-

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