Determine whether the series converges using the limit comparison test. 6k2 – 2k + 7 Σ 30k6 + k – 30 k=1 - The series diverges eTextbo converges

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A: f(g(x))=fx-1xf(g(x))=2x-1x+3

Q: - fyr. For the function f(x, y) = e²´y sin(xy) show that Clairaut's Theorem holds, that is, fæy

A: Clairut's Theorem : fxy = fyx i.e, ∂2f∂x∂y =∂2f∂y∂x.

Q: 5. Given: r = -4cose Sketch the graph and find the arclength, ( using calculus)

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A: We have to find given sequence bis converge or not and also find its limit.

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A: Our Aim is to evaluate the integral given below:-∫tan-1 (5x) dx  -(i)

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Q: 16. {(2,3), (-1,5), (2,6), (3,0)} is a function.

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A: I have stated the used formulas in the solution.

Q: eBook Submit Answer

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Q: (e) z = x2 + 2y2 where x = sin(t), y = 3sin(t) and t = %3| dz answer! dt dz 19sin(2t) = 19 dtlt= (f)...

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next...

Q: Let f (x) and g (x) be antiderivative of h (x), The which of the following is true? A None of the gi...

A: Application of derivative

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Q: Consider the function f(x) 2a 15a? 36x + 10 on the interval – 6, 8. Find the average or mean slope o...

A: Given query is to find the average rate of change and the value of c for the function.

Q: Which of the following integration expression can be transformed into integral of power (Choose 2) O...

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Q: Evaluate the integral. Show all your work. | tan (5x)dx -1

A: Given :∫tan-1(5x)dx

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Q: Evaluate. Show all your work. sin(5x)cos(8x)dx

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Q: negative semi definite, semi definite but not positive definite, positive definite of indefinite?

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Q: 2. S cos Vædx

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Q: Ceate five questions on the following topic along with the correct answers that you would expect if...

A: We write the inverse of a function and inverse of a natural numbers in addition and multiplicative.

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Q: 1 1 c) z = /xy – 3(x + y) answer: -3 ; %3D 2 V x ôy 2Vy d) z= xy sin y = y sin y ; x sin y + xy cosy...

A: Note: Since you have posted multip;e questions we will solve the first question for you. If you want...

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Q: 5. Find the angular speed in radians/second associated with rotating a central angle of in 10 second...

A: use angular speed formula for finding one .

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Q: Differentiate. f(x) = 3x(5x + 4)° O A. f'(x) = 3(5x+ 4) (20x + 4) O B. f'(x) = 3(20x + 4) OC. f(x) =...

A: Given query is to find the derivative of the expression.

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Q: Use any method to determine whether the series converge. 1 (a) E k° + 7k + 1 k=1 This series may or ...

A: If lim n tends to infinity an /bn exists or finite then an and bn converges or divergerges together....

Q: Consider the following. 0.4 x2 xp V4 - 25x2 4 – Let x 2 sin(0) and determine the following. dx = de ...

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Q: Determine the intervals where the graph of f is concave upward and where it is concave downward. (En...

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Q: The figure below shows two tiny charged spheres q1 = 7.29 µC and q2 = -7.11 µC separated by 70.34 cm...

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Q: Let T: R² → R³ be defined by T((a, b)) = (a, a + b, a + 2b). Find range T and a basis for range T.

A: Given:    T(a,b) = ( a , a+b , a+2b )

Q: 2. Show that fxy and fyx are equal for the function f(x, y) = x²y sin(x + y). %3D xy. cos(xry) + 2xy...

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Q: 7) fouo momEUT THE Mss, THを momet Adout X-4XIS, Aんの 2 A BOLT Y-AXTS of RLJOU Boun DEp By THE メート Dev...

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Q: Suppose that a firm's marginal abatement cost function with existing technologies is MAC = 12  - E. ...

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Q: Consider the following. 303 cos(@2) de First make the substitution x = 02 and rewrite the integral. ...

A: I will solve the following equation and high light the answers by red colour. Hope it would make you...

Q: Find the derivative of the function. g(x) = ex5 - 2x g'(x) = %3D

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Q: Consider the function f(r) 3a on the nterval 6, 5Find the average or mean stope of the function on t...

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Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx = ddgx...

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Q: 1 Describe how the graph of the function g(x) = |x| -7 can be obtained from the basic graph. Then gr...

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Q: 8. Let T: R? - R³ be defined by T((a, b)) = (a, a + b, a + 2b). Find range T and a basis for range T...

A: We have to find the range of T. T((a,b))=(a,a+b,a+2b)