Find the general Selution yer r the equatiJen S/0x)-14 ()+ 0 By(x) = =D0 dlax

Q: Identify which type of infinite series the given series belongs to. Then, use it determine whether t...

A: To find the nature of this series, we have to simplify the term given. 

Q: Next question If a function s(t) gives the position of an object at time t, the derivative gives the...

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Q: dx sin (7x)[7-cot2(7x)]

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Q: x³ + 5 dx x4 – x3 + x²

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Q: 6x+3 J x+sx +6

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Q: 10. Seta x² dx A 2 е** + C с 1 + С B 3 e** + C D 1 + C 3.

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Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-...

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0   x4+4x3h+6x2h2+4xh3+h4-6x...

Q: The position of the particle at time t is given by s(t) = t- 18t + 80. The particle is moving from r...

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Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

A: As per the instruction, we will be solving only the first one.     ∫∫∫xy+z2dV=∫-11∫24∫02xy+z2dxdydz=...

Q: The Maclaurin series of the function f(z) = 3z'e-9 can be written as f(x) = Cn" n=0 where the first ...

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Q: How

A: We will find the solution. 

Q: Consider the following sequence: +00 9" {a,} = An+1 - to show that the given sequence {a,} is strict...

A: The given sequence is  an=9n4n2n=1+∞

Q: A psychologist contends that the number of facts of a certain type that are remembered after t hours...

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Q: 15. Determine the general antiderivative of f(r) = %3D r4 + 10 a. In r – 10| +C b. 4ln |r* – 10| +C ...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given:   The area between the curves 2y=4x, y=4, 2y+2x=6 is       A=∫abfx-gxdx Isolate for 2y=4x    ...

Q: Evaluate the integral 7/4 cos(2x + y) dxdy. T/4

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple...

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

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Q: Example 6 If ð = (3, 2), b =(5, –1), ĉ = (-4, 2) find (a) 2a + b – 3c (b) 3a + 26 – 7.

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Q: S( Vx5 + Vx8 ) dx C 6 x5/6 A 7 1 x²/7 +x3 + C 3 x3 + C 3 + - В 2 1 D 5 x7/2 +x3 + C 3 x6/5 + 1 x³ + ...

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Q: Evaluate:S Ln x dx

A: Solving the problem by finding the value of integration.

Q: Please Find an equation of the line tangent to the curve defined by x^4+2xy+y^3=4 at the point (1,1)...

A: The given problem is solved below in detail.

Q: 9) ſ cos“ x sin x dx X

A: topic- indefinite integral

Q: An insect is tracing an elliptical boundary of a hot plate. The ellipse equation is given by+ = 1. I...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Let's find. 

Q: (x – e1)? + (y – c2)? = 1

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Q: » Given : x - xy + y? = 4 a) Find dY by implict differentiation : b) Find the equation of the tangen...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: EX8 Find the area of he s had ed of fig show bolwo useng dxdy y = 1+x² x = 1 x = -1 - D x = y² y = –...

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Q: +oo (-1)"+1 n=1

A: To show the convergence using alternating series test.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A: Telescoping series is the series in which all but the first and last terms cancel out .

Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

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Q: I A man buys a motorcycle. There will be no maintenance cost the first year as the motor cycle is so...

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Q: Evaluate the derivative of y = (2x – 1)° (x – 2)° at (1, -1). Use theorems of differentiation.

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Q: The position of the particle at time t is given by s(t) = t – 12t + 35. The particle is moving from ...

A: The position of the particle at time t is given by s(t)

Q: Use the differencean+1 – an to show that the given sequence {a, } is strictly increasing or strictly...

A: Difference = an+1 - an= (n+1)9(n+1)-8 - n9n -8=(n+1) 9n+9-8-n9n-8=n+19n+1-n9n-8=(9n-8)(n+1)-n(9n+1)(...

Q: 8x2 + 8x + 2 dx (4x² + 1)

A: 4x^2+1 cannot be fractionised further

Q: 8. Evaluate the integral 2y dA where R is the region between the curves y = x2 and y = x(1 – x).

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Vx 3+4x+8 dx 2 vã (Vx?)

A: Given that ∫x34+4x+8xx2 3dxSolution:let ,x=u6dx=6u5du∫u6×34+2u6×12+8u6×12 u6×236u5du∫u92+2u3+8u3 u46...

Q: 3.44 Given that F= x'ya, – ya,, find (a) $¸F·d1, where L is shown in Figure 3.30. (b) Ss(V × F) · dS...

A: The given problem is solved below in detail.

Q: Зх — у %3D 2 x + 2y = 10 x = 2, y = 4

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: imination of arbitrary constants = cjxe2* + cze¯*

A: Please refer to the image below

Q: x? — х -2 lim 2 x +3x + 2 X→-1 X

A: First we factories then take limit. 

Q: st to determine whether the series converges or 5k2 – 3k + 10k7 + 2k – k=1

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Solution )

Q: 7. ex-4e-3 dx x- A 2 x + + С 2 + С et В х+2 е х + О D х - 2 е * + С

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Q: Set up the definite integral required to find the area of the region between the graph of y = 12 – x...

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Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

A: topic - application of derivatives

Q: 1. Evaluate the integral x°y dædy. 2. Evaluate the integral I I ? sin(1) dydr. 3. Evaluate the integ...

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Q: Finding an Indefinite Integral In Exercises 5-26, find the indefinite integral and check the result ...

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Q: Evaluate: (2x + 1)3 dx by two methods: 11) let u = 2x + 1 %3D 12) Expand (2x + 1)³ Compare the resul...

A: Integration