QUESTION 3 Determine if the series converges or diverges. If the series converges, find its sum. If it does not con 2 +1 Σ 00

Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

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Q: Evaluate the integral:S csc?xv1+ 3cotx dx. A. 등(1+3cotx) + c B. -(1+3cotx) + c c. (1+3cotx) + c D.글(...

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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C'(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of...

A: AB→=(5, -5, 2)-(3, -3, 5)AB→=(2, -2, -3)AC→=(-1, -4, 2)-(3, -3, 5)AC→=(-4, -1, -3)AD→=(4, 1, -8)-(3,...

Q: A certain medicine is taken in 220 mg dosages and has a half-like of 12 hours. The function A-220 ca...

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Q: Find the third term of: E33-1)n+1 (z+3)2n (2п)! Σ n=D

A: This is a problem related to series expansion and calculating the term of it. Since series is starti...

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: topic- indefinite integral

Q: An inverted conical tank with 14 m height and 7 m radius at the top is full of water. Calculate the ...

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Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. 4n+1 (c) 2...

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Q: You forgot to answer: Use the trigonometric identity for cos0/sin0. 1/sin0 - sin0 = ____?

A: Use the trigonometric identity for cos0/sin0. 1/sin0 - sin0 = ____?

Q: all X 0<X < 00 0 خيار 2 0 خيار 3 12X23 -2 SYS 2 الخيار رقم 1 0 خيار 5

A: Find your answer below 

Q: Find the average value of f(x) = over the interval [2, 5]. (3x2 + 2)? Enter the exact answer. fave =...

A: f(x)=x(3x2+2)2Interval: [2, 5]favg =1b-a ∫ab f(x) dxfavg =1(5-2) ∫25x(3x2+2)2dx3x2+2=t6x dx=dtx dx =...

Q: Let an​ be an arithmetic progression, for which a2​=5 and a1​=−11. Find the difference of the progre...

A: The objective is to find  the difference of the progression.

Q: sinh(3r) 3. Solve for fe)(r) given that S(r)%3= 3

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Q: 5. Half-Angle Sub

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Q: Use Cosine and Sine laws to find the missing lengths and angles in figures 3. 30

A: I am attaching image so that you understand each and every step.

Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)...

A: find area using double integration

Q: Use Cramer's rule to solve the system. 4x- 2y - z= -6 3x - 5y - 5z = -6 = 2 2х- Зу ... Write the fra...

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Q: (a) The total reserves of a non-renewable resource are 400 million tons. Annual consumption, current...

A: Given: The total reserves of non-renewable sources are 400 million tons. Annual consumption, current...

Q: 37, b = 55 , c = 43, measured in ya %3D %3D

A: a=37b=55c=43 Perimeter , s =a+b+c2  s=37+55+432 =1352s= 67.5

Q: What would be the trigonometric identity to be used in order to transform the integral f tan z dz in...

A: Topic = Integration Correct answer tan x =sin xcos x  

Q: Find the equation of the normal line to the graph of e tan(ry) – In(r – 3y) = sin (7z) at the point ...

A: Solution is written in below steps.

Q: 3. Solve for fe)(r) given that f(r)% = sinh(3r)

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: S 3x° V1 – 2a3 l 2³ – 3x 1. Let f(x) = if æ 0

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Q: Let an​ be an arithmetic progression. If a1​=4 and a2​=7, determine a11​

A: Arithmetic progression

Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

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Q: <- Save & Exit Certify Lesson: 4.1a Higher Order Derivatives and .. 0/11 Question 1 of 6, Step 1 of ...

A: We know, ddxmx+cn=mnmx+c(n-1) , for any real numbers m and c

Q: 3. Determine if f is differentiable at x = 0 given that -1 4 cos if – 2 0, x + 1 (x-1)6'

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Find the interval of convergence (-1)"n (x + 3)" 4" n=1

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Q: Use implicit differentiation to find y' for 5a'y + In (ry') = 5. %3D y' Preview

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Q: a. For the following functions and values of a, find f'(a). b. Determine an equation of the line tan...

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Q: A statement S, about the positive integers is given. Write statements Sk and Sk+ 1, simplifying stat...

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Q: Express the following radian measure to degrees. 1) 150 2) 210 3) 100 4) 120

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Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e* +...

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Q: Let an​ be an arithmetic progression, for which a3​=13 and a11​=25. Find a7​

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Q: С.) 8.3° D.) -345°

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Q: 10. Sketch the solid obtained by rotating the region undemeath the graph of the function y = xi - 2 ...

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Q: What is the equation of the line Lz pass through the point ( 2,-1) that is parallel to the line L, w...

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y=25-x2 and y=3...

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Q: The following figure shows an equllateral triangle Inscribed in a circle of radius 10 cm. Use the me...

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Q: Let f(1) = (1 + 2x + 2)*

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Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4 an...

A: EA = 0.0030056

Q: Your answer is incorrect. If L is a line in 2-space or 3-space that passes through the points A and ...

A: Explained below 

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D. x²...

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: Write out the first three terms and the last term. Then use the formula for the sum of the first n t...

A: Given query is to find performed indicated operation for arithmetic sequence.

Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x...

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Q: Let an​ be an arithmetic progression, for which the first term a1​=1 and common difference d=1. Find...

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Q: 2x + 1 ds x2-7x+ 12 A. -7ln]x-3|+ 9ln|x-4| +C B. 7ln/x + 31 + 9ln/x+ 4| +C c. -7ln]x+3|- 9ln]x + 4| ...

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: Can Mean – Value theorem applied for the following function - on the indicated closed int erval ? If...

A: The objective is to check that can we apply mean value theorem for the function on the indicated clo...