3-20 Use the Ratio Test to determine whether the series is convergent or divergent. 16. Σ n= (2n)! (n!) ²

Q: Use substitution method to evaluate the definite integral fore dx

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Q: Find the limit. Use l'Hospital's Rule if appropriate. Use INF to represent positive infinity, NINF…

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Q: The surfaces p = 3 and 5, p = 100° and 130°, and z = 3 and 4.5 identify a closed surface. (a) Find…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: n=1 n! n - (x − 3)" 2n

A: The series is given by ∑n=1∞n!2nx-3n To determine:  The radius of convergence. The interval of…

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Q: Let Ln denote the left endpoint sum using n subintervals and let Rn denote the corresponding right…

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Q: xydx + (x^2+y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: Please see the below picture  detailed solution.

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: 11 Let f(x) = 7x-6 +2 Find the open intervals on which f is concave up (down). Then determine the…

A: Solved below.

Q: Find the slope of the tangent line to the curve 3 - 2x² + xy + y² I at the point (4, 1). - 27

A: This question is related to slope of line, we will solve it using given information.

Q: Thirty percent of a radioactive substance disappears in 15 years. Find the half – life of the…

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Q: A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it…

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

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Q: jw F(w). jwF(W) = jw F(W) = - A - [ 2 - acos( wot)] Tjw -2A (1 - cos (NT)) Тјия -2A (asin" (WT) TJw…

A: The objective of the question is simply the trigonometric functions.

Q: Evaluate the integral. -^x dx e S² sin √1-x² 2

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Q: f3ex dx

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Q: Let R be the solid enclosed by the surfaces z = 3x² + y² and z = 8 – x² - y². Fill in the missing…

A: To find the missing limits of integration.

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

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Q: H.w2: Use Runge-Kutta Method with (h= 0.1) to solve the eqaution y" + 3xy'-6y=0 with y (0) = 1,…

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Q: lim-(In(5n³-n+1)-in(7n³n+1)) 3 3

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Q: Calculate the vector area of the helicoid parameterised as follows: F(t, s) = (t cos s, t sin s, s)…

A: Please see the below pictures for detailed solution.

Q: Graph the function f(x)=x²-1 over the interval [0, 2]. Partition the interval into four subintervals…

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Q: Given the demand function D(p) = √300-2p. Find the Elasticity of Demand at a price of $14 0 X

A: We can find elasticity of demand.

Q: Example 1 Find dy/dx, if sin (²+3x+¹) b. y = cos²(2x-1)

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: To find : the domain in terms of i,j and k

Q: What is the horizontal distance from point E to the Vertical Axis? feet

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Q: Which of the following functions are solutions of the differential equation y" - xy + y = 0? Oy=0…

A: It is easy to check through the given options.

Q: Suppose that a particle moves along a straight line with acceleration defined by a(t)=t-3 where…

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Q: . (x + 2y) dx + (2x + y) dy = 0. ANS. x² + 4xy + y² = c.

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Q: 5. Use the definition of a Maclaurin Series to express f(2) = as a Power Series. Give the 8th degree…

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Q: Consider the function f(x) = 2x² + 4x - 7. f(x) has a critical point at x = A. Find the value of A:…

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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: Find the G.S. about xo = 0 for th 2 (1+x²)x" + 10xy' + 20v

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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: Find the volume of the solid generated when the region bounded by y = 5x and y= 15√√x is revolved…

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Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: the complete solution. Kindly, include the necessary table of values. 7. A body at a temperature of…

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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: 2π 12171710727 17/1xsin nx dx 2π I need to solve the integration in a table or zero method, a…

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Q: Find lim a. lim x→0* c. lim x²- - 5x + 6 2 3 x - 3x x -5x+6 b. lim x+3+ x³-3x² 2 x -5x+6 x³ - 3x² X…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Evaluate r2 ff dyda.

A: Given itegration ∫-12∫x2-2x   dy dx

Q: Find the exact sum of the following series 및 ㅠ 23 O1 O v2 √3 2 ∞ 우 (-1)" (#)2n+1 32n 3 (2n+1)! n=0

A: Concept: For sin(x), the Maclaurin series expansion is given by:…

Q: Evaluate the integral and choose the correct answer. [x²³m.x x² In x dx

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

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

Q: Given f''(x) = 2x + 5 and f'(0) = Find f'(x) and find f(3) = 1 and f(0) = = = -1.

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Q: Let P be the point in R^3 with rectangular coordinates (√2, −√2, 2√3). How to find the cylindrical…

A: We have given rectangular coordinates  (x,y,z) = (√2, -√2, 2√3)

Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

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Q: In Prob. 1-38. Find dy/dx.

A: Given; y=e2x+3.

Q: Use linear approximation, i.e. the tangent line, to approximate √49.4 as follows: Let f(x)=√x. Find…

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