Express the sum using summation notation. 5² 53 3 5+ .... ΣΠ K = 1 57 Complete the sum of the sequence.

Q: 2 Consider the function f(x) = 5x + 4z-¹ For this function there are four important intervals: (-∞o,…

A: Please see the below picture for detailed solution.

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A: answer is in next step. please give a like!!

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Q: Find the limit, if it exists. sin(4x) x Ilm

A: To find the following limit, if it exists.limx→∞ sin 4xx

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A: We have to interval of convergence

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A: Solution: Using the formula r2 = a2 sin(2θ), where a≠0 graph the lemniscater2=81sin(2θ)

Q: A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3…

A: answer is in next step . please give a like !!1

Q: them, it exists. 7x² + x 4x² + 6x² + x Ilm

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Q: Find the limit. 54) lim (lnx)/x X→∞

A: We need to find limit.

Q: Find the indicated term using the given information. a45 = -137/5 , a17 = -53/5 ; a6

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Q: III. Eliminate the AC 8. до Gex + сче-х + Сухе аех Cex ·X

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Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

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Q: Find the derivative. S² 5x 39) y = At dt

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A: Given figure:-

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A: The objective of the question is check the converges or divergence of series and choose the correct…

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Q: Example 1 Find dy/dx, if a. y=sin(x² + 3x + 1) b. y = cos² (2x-1)

A: I have stated the used formulas in the solution

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Q: Given the following functions: f(u) = tan(u) and g(x) = x7. Find: f(g(x)) = f'(u) = f'(g(x)) = g'(x)…

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Q: A population of 450 bacteria is introduced into a culture and grows in number according to the…

A: Given, p(t)=4505+4t73+t2

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Q: y' = = CSC x - y cotx

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A: f(x) = x3 -3x2 + 3 here we have to find the relative maximum and minimum point  from second…

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A: Given:

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Q: дz дz If z = x.f(xy), express x-y in its simplest form.

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Q: If we apply Rolle's Theorem to the function f(x) = 2x² - 8x - 1 on the interval [0, 4], how many…

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Q: Reading Questions: a) According to Part 1 of the Fundamental Theorem of Calculus, which of the…

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Q: Solve the initial value problem. dr-csc² 50 cot 50, 42) de 43) dy dx 3 (7) - y(0) = 6 (6 + x)2'. = 3

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Q: 44. f(x) f(x) == // 4-x x²-16 47. f(x)=- +² x²-4 45. f(x)=- x-1 x²+x-2 48. f(x)=- 2+x x²(1-x) 46.…

A: To find the vertical asymptotes of the given functions.

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Q: If f(x) = 4x² - 2x + 7, find f'(3). Use this to find the linear approximation to f(x) at x = 3. The…

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Q: 37) y = 9 ln x √ 0 0 te the integral. cln 3 38) et dt e2x dx

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Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A: Given:Distance of the car approaching from the north to the intersection, X=190 m  Distance of the…

Q: Evaluate the integral. esin−1 3x √1-9x² 32) dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Problem 3. Match the functions with their graphs. 1. f(x) = cos(x) 2. f(x) = sin(x) 3. f(x) =tan(x)…

A: To match the given functions with the given graphs.

Q: Expand log, 16x log, 16+ log4 x 2+ log4 x Condense In y-2 ln R In y-In R² In R² Use the properties…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: e interval [-20, 16]. such as inflection points in ascending order, i.e. smallest x values first. Is…

A: We will find the required.