Use the Ratio Test to determine whether the series convergent or divergent. Identify an n = 1 n! n Evaluate the following limit. Since lim an+1 n→∞ an an+1 lim n→∞ an ? 1, ---Select---

Q: uppose f(x) = 2x² + 8x. Find: The slope of the line tangent to f(x) at x = 2. swer: The…

A: Given query is to find the slope of tangent nad the equation of the tangent.

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Q: The first 4 terms of the Maclaurin series for In(1+3x) is ...? a) 3x - 2x² +9x³ - 81x4 Ob) 1+ 3x -…

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Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A: Given that y varies inversely as the cube root of x.

Q: Evaluate > f zy³dz + z³dy, where C' is the rectangle with vertices (0,0), (6.0), (6,2), and (0,2).

A: To find:- ∮cxy5dx+x3dy Where C is the rectangle with vertices 0,0,6,0,6,2,0,2

Q: Use a power series to represent the function f(x) Provide your answer below: ΣΟ n=0 5x + 3 I…

A: NOTE: Refresh your page if you can't see any equations. . as we know,

Q: Determine which of the following is the particular solution for the differential equation (D² - 3D +…

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Q: Express the limit as a definite integral on the given interval. lim [6(x)3 - 3x,"]AX, [2, 7] n→∞ dx

A: NOTE: Refresh your page if you can't see any equations. . here the given function is  and the…

Q: Find a . b. |a| = 9, |b| = 8, the angle between a and b is 30°.

A: Given, |a| = 9, |b| = 8 The angle between a and b is 30° We have to find a•b

Q: Use a power series to represent the function f(x) = 6 5x − 4 centered at x = -4.

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Q: Calculate the iterated integral. 1 / 1 ["'f's Jo Jo 5 √s + t ds dt

A: Given,           ∫01∫015s+tdsdtTo find : Calculate the iterated integral

Q: Use the Ratio or Root Test to determine the convergence or divergence of the series. 5n-1 40 +7 n=1

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Q: Determine the area of the region bounded by f(x)=√x and g(x) = x/2 on the interval [0,16]. Area =

A: The curves are given as , fx=x , gx=x2 Determine the area of the bounded region on 0,16.

Q: Given vectors u = (-33, 6) and v = (-19,5), find vector u — v.

A: To find the vector difference

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A: Divergence theorem

Q: Find an equation of the plane. The plane through the point (8, 0, 1) and perpendicular to the line x…

A: Please see the below picture for detailed solution.

Q: Calculate the arc length of y = ln(cos x), 0≤x≤ π/4.

A: NOTE: Refresh your page if you can't see any equations. . the given function is and the given…

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: Maximum Revenue Jester's Deli sells 640 sandwiches at a price of $8 each. A market survey shows that…

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Q: Determine the general/particular solution (whichever applies): (D4+8D³ +24D²+32D+16) y=0 ○y=e-²x (c₁…

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Q: 10. Change the order of integration: a. 2 lay [re [ f(x, y)dxdy 10 In 44 b. f(x,y)dydx

A: Given integrals:- ∫12∫0lnyfx,ydxdy ∫0ln4∫ex4fx,ydydx

Q: are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by vt)…

A: Given query is is to find the velocity at indicated time

Q: Given vectors u = (7,-4) and v = (-8, -7), find u v.

A: The given vectors u=7, -4 and v=-8, -7. We have to find the value of u·v.

Q: 3) Write and simplify an expression for the area of the figure. All angles are right angles 4√3…

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Q: Determine whether the series below is a geometric series, a p-series, an alternating series, or none…

A: According to question,Given Series,∑n=1∞ cos πn8n

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Q: Given the graph of f(x) and the labeled areas, 15 find [ f(x)dx 5 A=14 B-5 12 15

A: We are required to find ∫515f(x)dx=? using the data given in the figure

Q: Find

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Q: A car dealership has 6 red, 11 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A: Given red cars - 6 silver cars - 11 black cars - 5 total cars - 22

Q: Given the points P(−2, 3) and Q(−2, −5), find the magnitude and direction of PQ. Provide your answer…

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Q: A volume is described as follows: 1. the base is the region bounded by y = 9 - 1x² and y = 0 2.…

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Q: Use l'Hopital's Rule to evaluate commonly known limits. lim 0 x O lim Use l'Hopital's rule to…

A: Use  l hospital rule to find  the limit.

Q: 1. Find the total area enclosed between the curves y 27² and y = 1¹ - 21². It is usually a good idea…

A: Given, y=2x2, y=x4-2x2

Q: (b) A manufacturer of lightbulbs wants to produce bulbs that last about 700 hundred hours, but of…

A: Given: a manufacture of lightbulbs wants to produce bulbs that last 700 hundred hours but of course…

Q: The function f is defined by f(x) x²-3x. Using a limit definition of the derivative, find f'(x).

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Q: Find the area inside the loop of the following limacon: r 7-14 sin 0 -

A: Given: r=7-14sinθ To find: Area inside the loop of the given limacon Now, we know that area of the…

Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

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Q: f(x)=xe^-x How can you use limits to decide which of the two factor functions in f(x) dominates as…

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Q: Convert the point (p, 0, 6) = (1, 57, 57) te 6 6 expressions, or decimals to at least one decimal…

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Q: The postal service will accept a box for domestic shipment only if the sum of its length and girth…

A: Let's find maximum volume.

Q: The number of hands is

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