(*y3 - ) + y² = 0 1 1+9r

Q: 8*+2 11k–1 k=1 The series diverges ||

A: Given problem:-       To find:- Given series divergent or convergent and find its sum

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how ...

A: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how ...

Q: 1g graph, clearly showinng any pointS where the graph crosses the nate axes: + 7x + 10r

A: We will draw the graph. 

Q: Is the series divergent or convergent? Show solution and explanation. +oo In n E(-1)": n2 n=2

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Q: Questão 2 Check thatF(x, y) = (ez+y – y2 – cos(y))i + (ez+y – 2yx + xsen(y))j is a conservative fiel...

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Q: 15. Scott Fallstrom once Epoke with his kids on the first day of the month of April about allowances...

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Q: 3(1+x²)-1/2, y(C

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Q: Use the limit comparison test to determine whether the series converges 8. 74 +5 The series Save for...

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Q: Let F = %3D So Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of the ...

A: Here, the given function is F=xy,5z,4y To use Stroke's theorem: ∫CF·dr=∫∫S∇×F·N^ dA And, ∇×F=ijk∂∂x∂...

Q: A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have ratio of 4:5. Find the...

A: A trapezoid has an area of 36 m2 and an altitude of 2 m. Its two bases have ratio of 4:5. Let, a=4x...

Q: Do the following: (a) Construct the table of values; (b) graph the function; and (c) find the indica...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: 2) Which of the following sequences are summable. If the sequence is geometric, find the sum: a) a; ...

A: a) a1= 5/4 a2= 25/16 a3= 125/64 b) a1= 11/6 a2= 15/11 a3= 19/16  

Q: a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a par...

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Q: A vertical wall makes an angle of radian measure źr with the ground. A ladder of length 20 ft is lea...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k+1 Σ (2k –...

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Q: By using the definition of the derivative, find the equation of the tangent line to the graph of fix...

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Q: „3x -dx be given. If u=e* + 2, then the resulting integral is e+2 Jf(u) du. Compute f (3). Let A 3 B...

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Q: 1.3(5x - 2)dr Sr -4x+ 3

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Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: Using u-substitution, the integral Jf(x)dx reduces to a new integral J glu) - , evaluate the new int...

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Q: dx The integral can be re-written as (A) (2-2 V1-m ) lim m- 00 B none of the choices lim (-2+2 /1-m ...

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Q: Question 12 For the following function , find the equation of f-(x) and hence show that f({=}) = f (...

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Q: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly...

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Q: Question 9 5x2 tan( 3x) dr. ifu=3x*, then the resulting integral is SFlu) du. Find Given: A 18 none ...

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Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

Q: Differentiate f(æ) = 27. 1.

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Q: Determine whether the series converges. k=1

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Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0,35 ...

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Q: 1. Let (r + 2)², if I 0. (a) Give the r coordinate(s) of the possible point(s) of discontinuity of ...

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Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the or...

A: topic- logarithmic equations

Q: Evaluate the integral 4x4- 12x2 +7 xdx.

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

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Q: 3. At what points on the urve x = 2 t³, y = 1+ 4t – t² does the tangent line have slope =

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Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions wer...

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Q: 1 tan 2 1 1 + tan-x +C. 2 2

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Q: entences. 5k + 7k +1 3k* +8k? +9 -). az

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

Q: 5x² tan( 3x³) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find . 5/2 A 18 5/2 18 5 18 D ...

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Q: 12x +1 S dx. (2x - 1)2 (3x + 2)2 Evaluate: (2x – 1)3 (3x +2)3 A) + C 3 8 in |(2x- 1)2 (3x+2)2| + C 1...

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Q: 2. In each of the following, find fyzz, fæyx, fryz- 2. f(x, y, z) = ln(xyz) + z² tan-1(e"y)

A: Given

Q: Use the difference a -a, to show that the given sequence (a,] is strictly increasing or strictly dec...

A: The given sequence is; {an} = n/(3n-2).

Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) n = 4 x + 1 P4(x) = %3D

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: dx J. (3+x²)$/z

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Q: is a function given by 2r2 + 3r +2 g(x) • 1² +2 bounded for all |r| 52. finition, show that f(x) = 3...

A: We have to show that the given following conditions according to the given information

Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions wer...

A: This question can be solved by using rate of change of physical quantities.

Q: 3/2 X2 dx

A: 1.∫x32tan-1(x) dxlet x=tdiff o.b.s12xdx=dt dx=2t dt∫t3tan-1(t) 2t dt=2∫tan-1(t) t4 dtwe know that ∫u...

Q: dx Given: - 06-2x. Using u-substitution and transforming the integrand, find du. A 14e2xdx B 18e-2xd...

A: Given:  ∫dx7-9e-2x To Find: By using u‐substitution and transforming the integrand, to find du.  

Q: Kelsey deposited $1,100 at the end of every month into an RRSP for 8 years. The interest rate earned...

A: The accumulated value of the RRSP at the end of 8 years is 127353.74 (rounded to nearest cent)

Q: dx Given: 7-ge-2x. Using u-substitution and transforming the integrand, find du. A 18e-2xdx B - 18e-...

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