Determine whether the series converges, and if so find its sum. Enter the exact answer as an improper fraction if necessary. If the series diverges, indicate that using the checkbox. 1 (k +3)(k+ 4) The series diverges

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A: Range of R = {y: x,y∈R}. Inverse Relation : R-1 ={y,x: x,y∈R}.

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: — 4т + 10у — 6 2 — 5у — 3

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Q: Use the trapezoidal rule with n = 5 to approximate %3D 5 cos(x) -d.x 1 Keep at least 2 decimal place...

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A: Given problem:- Acceleration of a Car The distance s (in feet) covered by a car t seconds after star...

Q: az Use the Chain Rule to find at for z = In(x? + y), x = st, y = t/s.

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

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Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

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Q: Determine the maximum and minimum points of the given functions below. g(x)=x6−2x5+8x4

A: Here we have to find the maximum and minimum points of a given function g(x), we have use first and ...

Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? O x ...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Odr + (2r +1– Or) d0 = 0

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Q: 6. Given the space curve r(t) = (t, 2et, e2t), find the tangential and normal components of accelera...

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Q: 1. Consider a 100L tank containing 50L of salt water with a concentration of 1kg/L. Suppose that eac...

A: We have to find ivp. 

Q: the cross section of a trough is a parabolic segment 8 ft wide and 4 ft deep. if the trough is fille...

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Q: Find all second order partial derivatives for the following functions: a) z = xe-2y +x In(y) + y ln(...

A: Partial derivative  In partial differentiation take only one variable and treat other as constant .

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Q: Determine whether the alternating series converges. 00 5ln k k k=3 O The series diverges. O The seri...

A: On solving this series we will get

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: .3 dx J Tx²+9 .2

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Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Sim...

A: Trapezoidal rule: ∫abf(t)dt=h2f(a)+f(b)+2(fa+h+fa+2h+...+f(a+(n-1)h)where n is the number of subinte...

Q: Expand (2+V-9) А. 46+9i В. 46-9i С. -46-9i C. D. -46+9i

A: Option (D) correct. For detail go through the solution

Q: A. (A +B+C+D+ E+ F) B. (P + Q +R+M + N) (x² + 1)(x + 1) (2x + 3)* dy or y': dx Ах' + Bx? + 2х + с Dx...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Integral of | 4sinxcos cos |dx 1. J sin 9x cos4x dx J cos 2x cos (-x)dx 2. 3.

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Q: If you will use trigonometric substitution in solving the integral below, what will be the HYPOTENUS...

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Q: A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes ...

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Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

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Q: 7. If exactly 100 people will sign up for a local flight, the airline will change P 3,000.00 per per...

A: The given no. Of people is 100 and the charge is 3000 per person. If more than 100 people sign up, t...

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: Use the graph of the function to answer the following. f(x) = cos(x) on the interval [-27, 2x] 2 -27...

A: Given that f(x)= cosx and in interval [-2π,2π]. We find increasing and decreasing interval and also ...

Q: 1. Complete the given 2 sets of tables of values to investigate the limits of a function. lim a? – 5...

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Q: 3] By using the properties of dot and cross product, prove the following: a) (ü x 7). v = 0. b) (w –...

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Q: sin (x²) + C

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Q: Sketch the region enclosed by the given curves. y = 13 – x2, y = x² – 5 y y 5 -6 -4 - 2 4 6 -6 -4 -2...

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Q: A circular swimming pool has a diameter of 16 ft, the sides are 5 ft high, and the depth of the wate...

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Q: If f(x,y) = e* cos y then fyy (0,) is fyy (0) is

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Q: 2ayda + (y 2 - x2) dy = 0 %3D

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Q: 2. x cosh x? sinh x2 dx

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Q: Solve ( V42 dx then evaluate the answer at x=-39 and C=34

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Q: 1000 The logistic growth model P(t)= represents the population (in grams) of a bacterium after t hou...

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Q: sec(/æ) tan(/x) dx

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Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will...

A: ∫exdx1.Integrate with respect to xex+C12.Integrate with respect to x∫(ex+C1)dx=ex+C1x+C23.Integrate ...

Q: tanh 2x In (cosh 2x)dx

A: