Question 14 You have been given the following signal (shown below). What is its laplace transform? Choose your answer from the options given. x(t) a) X (5)= - 4 = 5+4 c) X(5) = e) X(S) [1- cos (2t)]u(t) 4s s+4 = 4 400 55 s 4 b) X(s) = 5³+ 4s 4s+ 40 d) X($) = 3² + 100 2

Q: -2 sec x tan x +5 sec x) Find the indefinite integral (- f(-2 -2 sec x tan x +5 sec²x) dx dx=

A: To Find: To evaluate the given integral.

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A: To find the time it takes for the money to double with quarterly compounding, you can use the…

Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

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Q: d. h(x) = x3 3 -2 - 2x² + 4x, 0≤ x < ∞0 e. f(x) = √25-x², -5 ≤x≤ 5 f. g(x) = 0≤x≤ 1 x-2 x²-1'

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Q: Given the three functions below, which expression equals (zo go t) (x)? g(x) = |3x| Answer 6 ○ |3 (8…

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Q: Determine the integral by making the appropriate substitution. √9(x-1) 9(9x-10)' 'dx

A: To determine the following integral by making the appropriate substitution.

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A: Here  we have to find the integral along closed path.

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A: The objective of this question is to find the limit of the expression (3x²+5)/(4x³ +2) as x…

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Q: Express your answer as a polynomial in standard form. f(x) = -3x + 5 g(x) = x² + 2x + 15 Find:…

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Q: Determine whether the function shown below is a one-to-one function. If it is one-to-one, find its…

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Q: Find all exact solutions on the interval 0 ≤ 0 < 360°. If there is more than one answer, enter them…

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Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

A: The given equation is

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Q: Let g(x) = f(t)dt, where f is the function whose graph is shown. y f 20 (a) Evaluate g(0), g(4),…

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Q: Find a, b, c, and d such that the curve ?=??3+??2+??+? has its tangent line at(1, 1) and at (0, -2)…

A: The objective of this question is to find the coefficients a, b, c, and d of the cubic function y =…

Q: Find an antiderivative of the function h(y) = 3y² — y6. An antiderivative is

A: .

Q: Given y = f(u) and u = g(x), find - (3) ² y=9u-5, u= dy dx = f'(g(x))g'(x).

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Q: Evaluate the following: lim In(e+h)-in e

A: To evaluate the following limit.

Q: 5. Example: The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the…

A: A graph of the functions  and  are given.The aim is to find the following,(a) (b) (c) Note:  Since…

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A: The objective of this question is to understand the graphing strategy for the function f(x)= 5x^3 -…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = tan -1…

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Q: Please answer the below quaestions: If f(x)= g(x)/ x,  and g(x)= x + sinx  ( interval 0, 2π) Find…

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Q: 4. For the function fwhose graph is given, state the value of each quantity, if it exists. --2- 0…

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) =…

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Q: Evaluate the expression without using a calculator. log 8√√512

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Q: Find the volume of the solid generated when the shaded area is revolved about y = -1. y y = 2x y=x²…

A: To find the volume of the solid generated when the shaded area is revolved about .

Q: Find the difference quotient of f; that is, find f(x) = 3x² - 4x + 4 f(x+h)-f(x) h h#0, for the…

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Q: (i) Find the derivative of the function. esin x COS X In(1+2v) dv.

A: To find the derivative of the following function.

Q: 10 -9 -8 -7 -6 -5 -4 10+ H Cu Ha STI -10 1 2 3 4 5 6 yak x Write the standard equation for the…

A: The standard equation of hyperbola with transverse axis parallel to x axis is

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Q: (f) (g) Find the absolute maximum and absolute minimum of g(x). On what interval(s) is g(x) concave…

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Q: Write the following expression in expanded form. (x+7)4 (X-5)√√x+4 In

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Q: lim n→ ∞o 3n+1 - 80-1 gn+2

A: The given limit .The aim is to find the given limit.

Q: A cup of coffee has cooled from 98°C to 50°C after 10 minutes in a room at 25°C. How long will it…

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Q: If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

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Q: 11. Use the graph of f to sketch the graph of f'.

A: The given graph of f

Q: 5 Find an antiderivative of the function g(z) = = 23 An antiderivative is

A:

Q: Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air…

A: The mass of the Freshener a=42 gmIf opened in the air decreases to  4.2% per dayThis means the decay…

Q: f(x) = x² Which of the following is the linear approximation of f(x) at the point a=16? O O O 3…

A: f(x)=x3/8, a=16

Q: f(x) = -3x + 5 g(x) = x² = x² + 2x + 15

A: Given the function   we have to find the value of (gof)(x)

Q: Given that What is F'(x)? O Questi -S²³² F(x) = 3 In t t² +3 25x5 ln x x5 +3 5x² ln x x5 +3 9x² ln x…

A: The objective of the question is to find the derivative of the function F(x), which is defined as a…

Q: Using the function f(x)=cos(x), on the interval: 0 (less than or equal to) x (less than or equal to)…

A: The objective of this question is to calculate the Riemann sum of the function f(x) = cos(x) over…