Use the graph of f(x)= ex below to complete part a and b below. a. Find lim ex. X-18 lim e 8118 b. Where does the function ex have a horizontal asymptote? H [ D G

Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

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Q: Sketch a graph of the function f(x) = 3 cos 6 5 4 3 2 1 -8п -7п -бп -5п -4п -3л -2л -π -1 -2 -3 -4…

A: This question is based on graphing a function from its principal function.

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A: Let, the given function:fx=3+excos 2x

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A: The given integral is: I=∫08x3dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

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A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

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A: We have to find probability of given question.

Q: Find the solution of the following initial value problem. 100y" - y=0 y(-10) = 1, y'(-10) = -1 y(t)…

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Q: B: if Z-4x²-8xy +7y5-3 then find Z, Zy, Zxx, Zyy

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Q: Solve: y'' - 4y' + 4y = 3e ^(2x) Show all work clearly please.

A: See the details solution in below

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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A: we can complete the table.

Q: True or False: We have Select one: True O False 2 x² dx > 2 [₁² x x³ dx 3

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Q: The Taylor series for f(x) = eª at a = -4 is Σ ²n(x + 4)" n n=0 Find the first few coefficients. со…

A: The solution is given below

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Q: Given g(x) = 9x + 5x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g (-x). g (-x) = 0⁰ 0101

A: A function g(x) is even if g(-x)=g(x). A function g(x) is odd if g(-x)=-g(x).

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Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = C₁f₁(x) +…

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Q: Solve: y'' + 4y' = sin (2x)

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Q: y = f(x)

A: We can answer all the three questions as below.

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Q: The Maclaurin series of the function f(x) = 2x² sin(9x) can be written as f(x) = Σcna" 71=0 where a…

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Q: i) Determine the following information for each rational function: -domain -x and y intercepts -…

A: According to the question, we can answer only first question and rest can be reposted.

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A: We need to find approximate area.

Q: 20. Determine B such that 3x + 2y - 7 = 0 is perpendicular to 2x - By + 2 = 0 A. 5 B. 4 C. 3 D. 2

A: Topic = Geometry

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Q: Use the nth term test to show that the series is divergent, or state that the test is inconclusive n…

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

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A: Using Matrix operation

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A: Given: fx=e3x

Q: Find the sum of the series or show that it diverge 4 (a) Σn=1(3+2 + 8n-2

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Q: Question 2 Given the equation -5x² + 30x - 5y2 - 10y - 5z2 - 90z – 5z² 90z = 210 a) Show that the…

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