2. Find the Fourier series expansion of: 0, f(x) = -1< x < 0 sin Tx, 0

Q: Find the equation of the plane passing through the three points A = (-1,0,2), B= (2, –1,2), C = (3,…

A: Given problem:- Find the equation of the plane passing through the three points A = (- 1, 0, 2) B =…

Q: n f (x) = 6x² – 5x - 6 and g (x) = 2x + 8, find (g %3D - А. — 61 - В. 61

A: Please refer to the image below

Q: Se*(4 + e*) dx Evaluate the integral of A (4 + e*)² + c B. (4 + e*)? +c (4 + e*)² + c (4 + e*)* + d…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4. Find the derivatives of the following functions. Do not simplify your answer! d (a) sec r dr Vr…

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Q: Calculus Question

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Q: Problem #5: In the equation f (x) = e* In(5x) – e* + log find f '(3).

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Q: Find a set of parametric equations for the rectangular equation that satisfies the given condition.…

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Q: a) [ Explain why the following series * (-1)" 00 Σ 1 + n5/2 n=1 is Alternating. b) ! : Use the…

A: Solve the following

Q: 7 - 3 - | 87 23 Find the eigenvectors of the given matrix: 土 i

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Q: 5t4 dt Vto +2

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Q: Hiw:-boundary Value problems- Q/solve xy-ý=o yco)+ ylo)= 1

A: We have to solve the differential equation.

Q: Determine the linear approximation of f(x) = =ª at æ = 1. O a. y=- 4x-3 O b. Not in the list O c. y=…

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Q: Using Green's Theorem, evaluate (sin z – y) da + (a³ + e") dy where C'is the circle x2 + y = 4.…

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: You make $8.45 an h before taxes? a) $278.85 b) $295.75 c) $302.07 d) $338.00

A: Topic:- algebra

Q: Let f(x) = √x. Find the derivative of f(x) at x = 2 by using the definition of the derivative as a…

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Q: Use implicit differentiation to find dy/dx in x^2y^2 + y = x.

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: II. Consider the function g defined by 1 g(x, y) = cos (TxVy) + log3(x – y)" Do as indicated. 3. In…

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Q: Suppose that f is defined everywhere and x = 2 and x = -1 are the only critical numbers for f. If f"…

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Q: dy Siven the equation below, find dz 16z° + 2ay + y° = 19 24. dy de low, find the equation of the…

A: Given query is to find the derivative and the equation of the tangent.

Q: QUESTION 15 Not yet answe Find the domain and the vertical asymptotes, if any, of the following…

A: We have to find out the domain and asymptote

Q: Simplify arcsin(sin240°). 60° 240° -60°

A: First draw the grap then make all the point then simplify.

Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) x2 + ax + Bwith…

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Q: Convert the equation to polar form. (Use variables r and 0 as needed.) x = y

A: Given :x=y

Q: a) [. :l: Determine whether the following series (-1)"5"-1n . 42n+1 n=1 is convergent or divergent.…

A: As per policy only first question is answered. Please refer to the image below

Q: What is the degree of f (x, y) = 2y + Væ² + y? ? O 1 O 2 O 1/2

A: We can solve as follows

Q: 1. J (5x* - – 4x + 7) dx 8x³ + 6x2

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Q: 3. y = xcos(2x) 4. y = tan tan (3x)

A: To find out the derivative of the function.

Q: = csc() – y] dæ + ædy = 0 C CSC Dy = = cos-' (In z + C) O Ina + cos () = C O Inz (금) =C cos Oy = x…

A: Topic:- application of integration

Q: Q1. Test the convergence and divergence of the following: 6. E=1 Inn (comparison test) 00 n%3D1 71…

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Q: d'y (3x* – 5)(2.x² +9x–6) Determine the of y = 3 dx 7x

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Q: lim x? O1 -25 25 -1 ||

A: The detailed solution is given below Thank you

Q: e3 1 - Find lim

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? a. Concave upward on (1, 0)…

A: Here we have to check the concavity of the graph.

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given query is to find the antiderivative if the expression.

Q: 2(-1)"-1 n²+4 n – 1 | n=1 n²+ 3

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Q: xe dy + *+1 dx = 0 ㅇ (1- y) e" + 빨고 =C O (y – 1) ev + + In a = C 2 O - (y + 1) ev - + In r = C O 2y…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Solve the following

Q: lim [f(x) – (x + 1)] = 0 • f is R\{2, –2} • f(1.5) = f(3) = 0 continuous • lim f(x) = -∞ on lim…

A: Given:-   To find:- Determine the intervals where the graph of f increasing/decreasing and concave…

Q: Directions: Read carefully and solve for what is asked in each problem. ds 1. Given the velocity v =…

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Q: e or sin 1 2 and tan 2 cos .2

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Q: Evaluate the difference quotient for 7x+1. Az) - f(x) = 2 7/2 7 O 1/2 O O

A: Here we have to find the quotient difference of a function.

Q: Let i denote the square root of-1. For the two complex numbers z = 3e and w = 6eT find z, w. Give…

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Q: 3. 4x 3 + dx

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Q: 4. Explain why (* + ÿ) + (ž + t) equals MQ in the following diagram.

A: answer is in next step

Q: fex) = I+ sinu x f(x) = 1T fcx) =-15 * sinux - secos4X %3D = -15 e sin4X- se"cos4X mL

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Q: Describe the long run behavior of f(x)=-2(4)x+4

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Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 8. F(x) = [ (13 + 6t - 5) dt F(x)…

A: given a definite integral