Compute the general term an of the series with the partial sum Sn = √n, n > =

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Q: Question 1 [ Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) = xy…

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Q: 1. Using proper mathematical terminology and different reasoning, explain why there are no solutions…

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Q: In Exercises 1-2, let u = (3, 2, −1), v = (0, 2, −3), and w = (2,6, 7). Compute the indicated…

A: Note:- according to the company policy we can attempt only three subparts of a question so please…

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Q: Let X 1 f(x) = √²/² 0 e²x² 842 dt. t4 +5 ex none of the choices e2x Find the derivative f'(x).

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Q: 9. (a) Express 2 x4 – x² as partial fractions. (b) Hence, compute the exact value of the following…

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Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

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Q: Choose 1. Determine the radius of convergence and interval of convergence. (x+1) 2n 00 n=1 n! (x-2)"…

A: a) The summation of (x+1)2n/n!,  n from 1 to infinity.  b)  The summation of (x-2) n/[(n+1)3n], n…

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Q: Evaluate the following definite integral. Express your answer in terms of logarithms. In 9 S In 7 In…

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Q: 1 2 3 4 6 7 8. Use row reduction on 12, 9 10 11 your calculator or use RowReduce on Mathematica (or…

A: In this question we have to find the basis for the column Col(A).

Q: Find the general solution of the differential equation y"-y-6y 16e²t. NOTE: Use c₁ and ca for the…

A: Given  y"-y'-6y=16e2t

Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 2580 yd of fencing to enclose a…

A: The owner of the Rancho Los Feliz has 2580 yd. of fencing to enclose a rectangular piece of grazing…

Q: Use Euler's formula to write the expression e²+8i in the form a + ib. Round a and b to four decimal…

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Q: If the average value of the function f(x) on [0, equal to what is Select one: O 24 O 9 O 6 02 3 1…

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Q: Let the function be f(x)=-log(base3)X. Use the properties of the reciprocal of a function to graph…

A: We have to find the reciprocal of given function.

Q: e2+8i = a + ib, where: a = b i = i

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Q: Consider the function: f (x) = −6x/ 6x^2 − 54 Step 1. Determine the intervals on which the function…

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Q: Consider the equation below. 12 3-sin (8) (a) Find the eccentricity. e " (b) Identify the conic. O…

A: Given equation :- r=123-sin(θ)

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

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

Q: Consider the following vector function. 12²) r(t) = (st, 1-², (a) Find the unit tangent and unit…

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Q: A 25-year old woman burns 150 - 60t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: Find the limit (if it exists). (If the limit does not exist, enter DNE.) - (x² - -/-) lim

A: The given limit limx→0-x2-3x

Q: y = ³/2, y = 8, x = 0

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

Q: 2π tane 13-12cose de

A: We will find thw integral.

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A: Concept: The angle of elevation: The angle of elevation is the angle created between the line of…

Q: Calculate L6 for f(x) = √√7x + 3 over [1, 3]. (Give your answer to three decimal places.)

A: The given function fx=7x+3 over the interval 1,3 we have to the left Riemann sum using 6…

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Q: Consider the implicit function. e = sin (6x) Determine the formula for in terms of x. dy dx dy dx

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: y = x y 2 1 2 X

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Q: Graph the function. {# +1₁ 45-5 42 y

A: Consider the function  g(x)=x+1,          x≤-512x-7,      x>-5

Q: Use this to find the equation of the tangent line to the parabola y = 3x² - 2x + 7 at the point (-2,…

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Q: 2. S (5x-12) dx x³-6x²+8x

A: Given, ∫5x-12x3-6x2+8xdx

Q: Find an equation of the line that passes through the point and has the indicated slope. Slope 8 3…

A: To find out the equation of line.

Q: 22² +52 + 14 (2-1) ¹ If U(z) = CSScanned with CamScanner 9 evaluate u₂ and uz

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Q: What is the area of the region between the curves 3 y = x³ and y = x², from x = -3 to x = -1? Select…

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Q: Use spherical coordinates to evaluate the mass of a solid given by the integral below: 2 To LT SVET…

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Q: Choose the correct answer by changing the order of integration of the following iterated integral…

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Q: Use power series operations to find the taylor series at x = 0

A: We have to find the Taylor series.

Q: (a) Find the domain of the following function, giving you answer in interval notation. f(x) = ln(x²…

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Q: = sin (5√) at the point (7²,0). Enclose numerators and denominators in parentheses. For example, (a…

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Q: Find a particular solution to the differential equation Ур || y" + 5y' + 6y=-108t³.

A: Given differential equation is y''+5y'+6y=-108t3 We have to find a particular solution for it.

Q: Find a bound on the magnitude of the error if we approximate √2 using the Taylor approximation of…

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Q: Find the derivative of f (y) = 9 tan (y) V 2 12 y³√√

A: To find the derivative of the below expression. fy=9tany−y2−12y3y

Q: Draw a slope field for dy/dx= -6x^2/y.

A: we have to draw a slope field for dydx=-6x2y