Determine whether E1(-1)" sin n3 is absolute convergent, conditionally convergent, or %=D1 divergent. Give reasons for your answer. Paragraph в I 出 P + v ... Lato (Recom... 19px ..v 國 -123 </>

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A: We can solve this as follows:

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Q: Find the limit. Use l'Hospital's Rule wh lim (In(x))2 X 00 5x

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Q: V9, 0< y< 4 Find the area of the surface generated by revolving the curve x = about the у-ахis.

A: We have to find the surface area.

Q: 6. Use Descartes's Rule of Signs to determine the possible number of positive and negative real…

A: We have to use Descarte's Rule of Signs to determine the possible number of positive and negative…

Q: 7. Find the derivative of In y + exy? ey sin 2x. %3D -

A: Here, the given implicit function is: ln y+exy2-ey=sin 2x...(1)

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Q: 2 4 - 8 Q - The determents|A| of matrix A =-1 - 3 6 is 7 - 2 c) -20 5 d) none of them a) -24 b)-32

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Q: Find the explicit formula of an arithmetic sequence with the given pr d = 12, and a6 = 68 %3D %3D

A: Topic:- sequence and series

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A: Evaluate the limits

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A: Given problem:-

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Q: e* +cosx+sin.x– 2 3. lim xsin' x

A: As per our guidelines, we are supposed to answer?️ only one question. Kindly repost other questions…

Q: Use the Fundamental Theorem of Calculus to cvaluate (1 - da

A: Integrate using fundamental theorem of calculus.

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Q: (3) In 2014, the United States Postal Service charged $0.48 to mail a first-class letter weighing up…

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Q: Find the limit. Use T Hospital s cos(x) lim - sin(x) + 1- x- (1/2) os (27) CoS sin(2n) 1- 0.

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

Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: a a If f is an even function, why is f(x) dx = 2 f(x) dx? Choose the correct answer below. O A. a a…

A: Definite integration property

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Q: Solve the following equation in the complex variable z: |z|2 = 12 − |z| and draw the result on the…

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Q: Use synthetic division to show that c is a: a. P(x)=x'-4x² + 5x – 2; c = 2

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Q: cot(x) – cot(a) lim where a + na. е. x - a 10 f. lim +- n00

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Q: Use a change of variables to find the indefinite integral. Check your work by differentiation. 1…

A: To integrate.

Q: 2. Calculate the following limits. Justify your answer. L'Hopital's rule Rule ) (without using 2x +1…

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Q: Solve the differential equation: xy' – y = 2x Inx 1.

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Q: derivatives

A: We will solve the 2 problems.

Q: 3) Find the sum of the first 12 terms of the geometric sequence-3,-6,-12,-24,..

A: We can solve as follows

Q: Find the demand function p, given the marginal-revenue function dr/dq below. dr = 269 – 9q - 1.29 dq…

A: Here, the given marginal revenue function is: drdq=269-9q-1.2q2...(1) where r is the revenue…

Q: Let u = (3,-2), v = (-2,5), and w = (0,1). Express 10u-4v+w in the form (a,b). 10u-4v+ w= (Simplify…

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Q: The following data lists different investment amounts (X) and the amount of interest (Y): X5 Y 2.5…

A: Here is the solution:

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A: The length of the ladder is 7.5 meters and the top is sliding down the wallat a rate of 0.4 m/s.

Q: Show that the following differential equation is an exact equation. (2x+xy-1)dx+(x'y+3)dy = 0,…

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Q: 1 dx x (1+x4)4

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Q: šin(3x) Find the area bounded by the curve y = ,0 <x<T/3 and the line y = 0 as shown 2+cos(3x) in…

A: This question can be solved using the concept of area under curve.

Q: Find the approximate volume of a spherical shell whose linear radius is 3 inches and whose thickness…

A: Find your answer below

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Q: Determine whether converges or diverges. If it converges, find the sum. Paragraph U - Ay + v ...…

A: We have to find out sum

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Q: 02 - In simpson's 1/3rule the intervals must be c) non of them 12 31 a) even b) odd The eigin value…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost the…

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Q: 5 5 5 The functions f and g are integrable and f(x)dx = 7, g(x)dx = 4, and f(x)dx =2. Evaluate the…

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Q: Consider the function: (x^2)/(x^2-4) 1. Find the domain of f. (Using interval notation) 2. Find…

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Q: Evaluate the following integral. 3T s²x dx CoS Rewrite the second of the two integrals found above…

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