QUESTION 10o Select each convergent series from the options below. No work required. 1 n=1 5 n=1

Q: Find tan x dx.

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Q: 1. Complete the table for the sine, cosine and tangent for the special angles in quadrant I. Keep yo...

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Q: parallel lines have the slope m1 = -m2 %3D False True

A: Parallel lines

Q: Find the area bounded by the curve xy 2 and the line x+y%3D 3. A. 0.17 sq. units B. 0.11 sq. units C...

A: Let's find. 

Q: Find the general solution of the differential equation. 169y(3) + 182y" + 49y' = 0 V(x) =

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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: बिले (x-1) (x+1)

A: solution )∫x/(x+1)2(x- 1) = I use of integration of partial fraction  x/(x +1) 2( x - 1 )  A/(x + 1 ...

Q: Evaluate " edx B. 3 A. 1 C. 2 D. 4

A: To Compute :  ∫0∞e-13xdx

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: Find the equation of the circle that passes 3 points (1, 2), (-3,8) and (-9,6).

A: It is given that, 1,2,-3,8 and -9,6 are the three points.   The objective is to find the equation of...

Q: In how many ways can you place 9 different books on a shelf if there is space enough for only 5 book...

A: Given, 9 different books on a shelf and there is space only for 5 books. 

Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (2, 4, 6), (6, 3, 2)}...

A: This is a problem related to vector. If the determinant of the given vector space is zero then it ca...

Q: 7. Find the volume of the solid obtained by rotating the region under the graph of f (x) = 9 – x2 fo...

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Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: A tank is filled with 1000 liters of pure water. Brine containing 0.05 kg of salt per liter enters t...

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Q: (1-cos 6x)dx 1+cos 6x c. tan3x – x+ C Perform the integration:S A. tanx – x + c B. -tanx – x+ C 3 3 ...

A: To find given integral.

Q: -dx x2+x-6 xp* C. 13 D. the integral is diver A. 4 В. 6 A

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Q: Perform the integration:[-cos 6x0dx tanx-x+C 1+cos 6x A. c. tan3x-x+C B. --tanx-x+C D. tan3x-x+C

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few t...

A: The given sequence,       14,-45,96,-167,258,......

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of ...

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Q: Solve for the Linear Differential Equation: y' + y = sin(e^x)

A: Given differential equation is y'+y=sin(ex)

Q: Find the area of the region enclosed by the curves x = 7- y and y = Vx+5, y = 0. Give the exact answ...

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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, for which a1​=15 and d=3. Find the sum of the first 10 element...

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Q: 23-51. Calculating derivatives Find the derivative of the following functions. 36. y = -x cos x + 3x...

A: topic - derivative of the function

Q: Find the length of the curve y = In (1 – 2*) over the interval [-,].

A:

Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: Use Cramer's rule to solve the system. 3x- y-5z 14 3x-5y-2z 2 3x - 5y = -6 ... Write the fractions u...

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Q: 1. Using Logarithmic Differentiation, find given that dr -3 sec-(VT) y = 4"(log21)«ch z'

A: To find derivative using logarithmic differentiation  keep this formulas in mind  log ab= b log a lo...

Q: In the method integration by parts we assign a value of u that is easy to differentiate and a de tha...

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Q: Given f(x,y) = 4x sin(5xy). Find fyy(4,5). Give you answer correct to two decimal places. Answer:

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

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Q: Decide which of the following properties apply to the function. (More than one property may apply to...

A: Given the function y = 2e-x It is an exponential function.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Let's find. 

Q: Use Bisection Method to find the root of æ + 10x² – 5 = 0 that lies in the interval (0, 1) to four-d...

A: Given :   x3+10x2-5=0

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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

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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: The function f(x) = 6x¬1 for the interval [1, 2] has neither local minimum nor maximum. a local maxi...

A: local maxima and minima

Q: Solve for the Linear Differential Equation: y' - y = e^x

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Q: Determine the area bounded by the curve y=9x/5 and the line y=x-2 A. 3.43 sq. units B. 6.86 sq. unit...

A: y2=9x5 , y=x-2x=5y29, x=y+2solving both the curves9x5=(x-2)2 9x=5(x2-4x+4)5x2-29x+20=0x=29±(-29)2-4(...

Q: Evaluate and simplify the integral +x+3 ad +6xª +9 °

A: This is a problem of integration. Based on the general formula of partial fraction decomposition we ...

Q: Given f(x) 3r In (2s). Find fr (4, 3). Give = -4x + 5 and x = your answer correct to two decimal pla...

A: Given :f(x)=-4x+5x=3rln(2s)

Q: 2. Solve the following differential equations. (a) y' = x2 - xy +1. (Hint: Consider the subsitution ...

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Q: 1.) What do you think the world will be like if Calculus wasn't discovered?

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Q: 8x²y" + 10xy' – (1+x)y = 0

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Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function. a. { (x,y,...

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

A: Part 1 answer  tan3  (theta) sec (theta) dtheta = sec3(theta)/3 - sec (theta) + c    Part 2 answer  ...

Q: Integrating factor by inspection: Solve the equation (x² + y² – y) dx + xdy = 0 y = x tan(c - x) O x...

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