1. Let {an}1 be a convergent sequence such that V5 and an+1 V5 a,. aj = Compute lim an.

Q: B 78°10 P 2540 ft. 47°20 d=? To find the distance from observer's point A on one side of a river to ...

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

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Q: Consider x(1+tV dx and using u-substitution in rewriting the integrand as a function of u and du Det...

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Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: Write a polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial with ...

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Q: Sy = 4 +

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Q: prove that tanx V secxsinxtanx

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Q: Σ (х +9)" 2" n=0

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Q: Question Let k(x) = (-3x² + 2x)g(x)h(x). Given the following table of values, find k' (-2). %3D -2 -...

A: k(x) = (-3x2 +2x )g(x)h(x) find k'(-2) =? k'(x) = (-6x +2)g(x)h(x) +(-3x2 +2x )(g'(x)h(x) + h'(x)g(x...

Q: A ship sails from a harbor for 16 nautical miles south. It then sails in the direction S 55 E for 18...

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Q: if 4x1

A: Given problem:-

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial wit...

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Q: Question d'y if-2x + 7y = 10. Find %3D dx2 Provide your answer below: dy %3D dx2 Previous

A: topic - implicit differentiation

Q: 3n an = 8n + 13 For the following answer blanks, decide whether the given sequence or series is conv...

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Q: 6. ху\ + (1+х)y %3Dе*, у(1) — 0 7. sinx y'+2y cosx = sin2x, y : 2 6.

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Q: Use the following function to answer the problems below. S(+) = f(r) = (x + 2)² (a) Find the vertica...

A: The point at which the graph of the function changes its direction that is from concave upward to co...

Q: (1–2x)/-

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Q: What is the derivative of f(x) = 26 (12.1)* + 8 (0.56)* +1 ex with respect to x? f '(x) =

A: topic  -  derivative of exponential function

Q: A polynomial f(x) and one or more of its zeros are given. f) =4x-43x²+134x-78 2. 5-i is a zero Part:...

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Q: Find the Maclaurin series for the func f(x) = cos 2x %3D f(x) = %3D n=D0

A: given:f(x)=cos2x

Q: Find the first partial derivatives of the function. f(x, t) = tªe¬x %3D

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Q: It was determined that the demand equation for a product A is given by x = f(p, q) = 10, 000 − 10p +...

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Q: Insert two geometric means between 5 and 8.64.

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

A: This question is based on ratio test.

Q: Use any method to determine whether the series converge. 1 (a) E k=1 k' + 12k + 1 This series conver...

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Q: Plot the following functions 1. v y = -x|x|

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Q: Consider the function on the Interval (0, 2x). f(x) = 4 sin? x + 4 sin x (a) Find the open interval(...

A: We will have relative maxima when the derivative changes sign from positive to negative. And for rel...

Q: 1. 2x +3 <7x- 23

A: topic- inequalities

Q: The average daily temperature at a tourist lodge is approximately T = 106 - 34 cos[ ( 4π ( t - 50 )...

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Q: cosx * sin? (3x) 2 2. lim x→0 x2

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Q: .2 d 5 1 Зx3 + x2

A: We will evaluate the given integral as shown below

Q: Given revenue and cost functions R(g) = 90g - 0.2g and C(g) = 13g + 500, find the quantity when prof...

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Q: SS 2x dy dx 0 < y < x² and 0<x < 2 no decimals, integer

A: The value of the given integral is 8.

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial wit...

A: The given zeros of the function are: -5, 4i, -4i

Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

Q: the ratio d/dx 8csc(x)/csc(x)cot(x) is a constant number. Its value is

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Q: The concentration C of a chemical in the bloodstream t hours after injection Into muscle tissues is ...

A: Here, the given function is: C(t)=8t27+t3, t≥0 is the contraction function with t in hours.

Q: For the following primitives, identify the number of essential constants.(x and y are the variables)...

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Q: Determine whether the series converges. 2 +4 2 +9 O The series converges. O The series diverges.

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: 4 5. Find the sum of the series 2 (2n + n³) n =1

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Q: 1. ×3- 4 x 3. § × -- 4 $ x}=----- 5X 5. } × 3 - 7. H × ? 6. x3 9. x } 10. 글에} 11. § x } 12. 3 × 3 13...

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Q: x2 f(x) Let k(x) %3D x+2 Find k' (-1), given that f(-1) = 3, f'(-1) = –1.

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Q: dy

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Q: Find all the points of the graph of y = (x - 2)2 at which the tangent line is perpendicular to the l...

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Q: Determine the derivative of f(x) = ( In x )6 with respect to x. f'(x) =

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Q: A train travels along a set of tracks according to the function s(t) = --+ 212 + 5t +4 where /2 0 is...

A: Idea: Interval in which train slowing down is nothing but the intervals in which the function is dec...

Q: Identify the vertex, focus, directrix and length of the latus rectum each

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Q: Find the midpoint of the line segment with the given endpoints (-7,- 1)and (- 3,- 2) The midpoint is...

A: The midpoint of the line segment with the endpoints (x1,y1) &amp; (x2,y2)is given by: x1+x22,y1+y22 

Q: Question The position of a car traveling along a highway is given by the function s(1) = 21° – 10t2 ...

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