Example: find the complex Fourier expansion of the periodic function shown below f(x) = cosx -1/2

Q: A 310-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

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Q: Let S = {-2, -1, 0, 1, 1, √2, 2, 4}. Determine which elements of S satisfy the inequality. (Enter…

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Q: 4. x³+2x+2 2 x²-1 dx

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Q: Use a graphing utility to graph the function. f(x) 8x| x+6 10- 10 10 f f Je wee 10 10 10 Find the…

A: We need to find the graph and horizontal asymptotes of the function.

Q: Consider the function f(x) = 10√√+ 6 on the interval [4, 5]. (A) Find the average or mean slope of…

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Q: 4) Find the point(s) of inflection f(x)=(sinx)(e*)

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Q: Given f''(x) = = Find 76 10 - - 36 sin(6x) and f'(0) = 2 and ƒ(0) = − 6.

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Q: Consider the function f(x) = 3 - 3x² on the interval [-3, 6]. Find the average or mean slope of the…

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Q: jw F(w). - A [a-acos (wir)] Tjw jwF(W) = -2A (1-c0s (NT)) Тјия ex jwF(W) = -2A (asin" (WI)) t F(W) =…

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Q: Find the exact value of the indicated trigonometric functio 2 =, , tan 8 <0 Find sin 8. cos 0 =

A: answer is in next step. please give a like !

Q: Evaluate the integral and choose the correct answer. Sin In x dx

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Q: / (√² + 21/16) 2√x dx

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Q: Remaining "How Did I Do?" Uses: 0/3 Sketch two periods of the graph of the function p(x) = tan…

A: Please see the below picture for detailed solution.

Q: Evaluate fs 2 ds a. 2(sln2 - 1) (In2)² b. 25 (sln2 - 1) (In 2)2 c. 2² (² + 1) 2 d. 25 * (12-1)

A: To evaluate the given integral

Q: 14. Evaluate f at its critical point(s). 15. Evaluate f at the endpoints of the given interval. 16.…

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Q: Problem 02: (a) A predator is flying at a constant speed along with a constant height of 100 m that…

A: Given data:- Flying height of the predator from the ground level is 100 m Angle between the predator…

Q: ¹) (x²y³ + 6xy³) dy + (xy² + 3y²) dx + (x+3) dx = 12y³ dy ; y(²) = 0

A: I have tried all cases to find Integrating factors. According to me last one matches the best .

Q: If f(x) = 7x² f'(2) = f''(x) = f''(2) = 8e, find:

A: The given function is fx=7x2-8ex

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship…

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Q: 4) Find the solution of y'= 2(2xy) passing through (0,1).

A: Given, Equation  y'=2(2x-y) passing through a point (0,1).

Q: 7 Let f(x) = 8x³ + 5. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: Find the value of c for which the area enclosed by the curves y = c - x² and y = x² c is equal to…

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Q: Consider the function f(x) = 6√x + 9 on the interval [1, 8]. Find the average or mean slope of the…

A: mean value theorem

Q: √ √x dx W|N 3 x2 + N/W N/W + C + C 2/3 + C

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Q: y = 3x-2x²+x-5; y""

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Q: Suppose that f(x) is a continuous function on the interval [0, π]. If f(x)=(sin x)² for 0<x<, then…

A: Since the f(x) is continuous function in [0, π], therefore the value of function at x = 0 must equal…

Q: h of the following numbers is the radius of convergence of the p xn n •2 (7· (~^)")² ? n! n=1 5 e √5…

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Q: 3. I Find all eigenvalues and eigenvectors of: [100] 4-6 A = 0 0 2 0 2 0

A: We have to find eigen values and vector

Q: Which of the following polynomial functions might have the graph shown in the illustration below? y

A: NOTE: Refresh your page if you can't see any equations. .

Q: f(2x. (2x + 6)5 dx 0 (2x+6)6+ C 2 H|M 3 12 (2x + 6)6 + C (2x + 6)6 + C (2x + 6)6 + C

A: A detailed solution is given below.

Q: A 15 foot ladder is leaning against a wall. The base of the ladder is pushed towards the wall and…

A: We can find the answer as below.

Q: Question Find the change in surface area dA if the radius of a sphere changes from 11 cm to 10.8 cm.…

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Q: 2x3 2x² + 3 3 Submit an exact answer using fractions if needed. Find the average value of f(x)…

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Q: nsider the function f(x) = 6√√x +9 on the interval [1, 8]. Find the average or mean slope of the…

A: We have to solve the question for finding the slope

Q: Identify and graph the polar equation. r=4-4 sin 0 What shape does the polar equation form when…

A: required graph of the given equation is

Q: Find each limit, if it exists. (a) Ilm (b) lim (c) Ilm +8

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Q: Newton's Method will fail to approximate the solution to f(x) = 0 with initial guess to whe Of(x) is…

A: Given :Newton Method :xn+1=xn-fxnf'xn

Q: If the population of a country is 100 million people and the population is increasing exponentially…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of y = 6x ² and y = ²…

A: Topic = Area

Q: 3 (A) Find the average or mean slope of the function on this interval. Consider the function f(x) =…

A: A] 0 B] √5/√12 ,-√5/√12

Q: Show the complete solutions, draw or graph the given for illustration. Find the orthogonal…

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Q: Determine if the expression is meaningful. If it is, state whether the expression represents a…

A: The expression is given by ∇×∇×F To determine: Whether the expression is a vector field or a vector…

Q: 1. Find the first derivative of the function g(x) = 8x³ + 12x² - 48x. g'(x) = 2. Find the second…

A: Solve the given

Q: 50. y = 1/√; y(iv)

A: We can find the 4th derivative as below

Q: Express the complex number, 1 + ¿, in the form re¹ with 0≤0 < 2π. O √2e O √žeti ○ 2e Ti O eti O 2e7¹…

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Q: cos^2(2x) - sin^2(2x)=0. Is it a identity and how can you tell.

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550…

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Q: Determine whether the work done along the path C is positive, negative. or zero. zero Ⓒ positive O…

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Q: Find the sum of u + v, given that |u| = 29, |v|= 27, and 0=21°, where 0 is the angle between u and…

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Q: Let r(t) = cos(t) i + 4 ln(t² + t)j + 5 tan¯¹(t) k. Find 7' (t).

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