Find the smallest number of terms of the series Σ1 partial sum sn is within of the sum. 1 100 (−1)n+1 2" you need to be certain that the

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A: topic- application of derivatives

Q: 97. Σ n=1 1 2n(n + 1)

A: The given series,     ∑n=1∞12nn+1

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A: The graph shows the average monthly cellular phone bill since 1987. The slope of the curve at point…

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Q: 1 2 x² +6x+18 -dx

A: A detailed solution is given below. We know that, ∫dx(x+a)2+a2 =  1a tan-1x+aa + c

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A: Given that,

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A: We have to find the solution of given question.

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Q: Question a) b Let f(x, y) = x³-4xy² x²-2y Find the first partial derivatives of f. Determine whether…

A: According to question,Given Function,fx, y = x5 -4xy2x2 - 2y

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A: We have to discuss about valid triple integral.

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Q: Evaluate the limit: lim, ∞ ○-6 00 ○ 6 e 10-00 최승

A: This question can be solved using the concept of L hopital's rule.

Q: Exercise: 11 [ Solve the non-exact differential equations (Apply Rule IV)] 2. (xy³+y) dx + 2 (x²y²…

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Q: meª (In x)-5 Find: What is the behaviour of y as →→ ∞ ? Given: Y- ▬▬▬ Oy -∞ Oy →∞ Onone of the above…

A: Please see the below picture for detailed solution.

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Q: 3. For y = 3 sin x + 21, the third order derivative (a) -3 cos z +21 (b) -3 cos r 4. For y = e-2-50,…

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Q: Evaluate: cot¹ (+) -do 0² O None of the choices Ocot³ (1)-cot (1) + 0 n ( ² ) − ² + c - ()επει ο -…

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Q: 2x Given: z = xlny - = + y sinh√x O O O - - 2x+11n4 y³ - 2x+1 In²2 y3 2x+1 in ²2 y³ 1 2x+2 In2 y3…

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Q: Find the general solution of the differential equation. y"" — 17y" +82y' — 120y = 0. NOTE: Use C₁,…

A: Here we have to solve the differential equation.

Q: Ja Inadr

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A: We need to find values of function.

Q: Choose the correct answer for the following limit: x²-812 lim (x,y) (0,0) x +9y Select one: O A.…

A: We have to calculate the limit.

Q: Work problem 3 Given the vector function F(1) = (51³ — —, sec —7, sec(3 − 1)) - then find the…

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Q: Determine whether The given series M8 k=2 ខណៈ k=2 1 √k-1 1 √k-1 converges using the Comparison Test…

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Q: Find 7 sin (7x) dx

A: According to question,Given Integral,Let I = ∫7 sin27x dx

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Q: If z = x - 2y, dz and x = 2t, y = 5t, then the value of at dt t = 3 is equal to -8. Select one: True…

A: To determine whether the given statement is True or False.If z=x-2y, and x=2t, y=5t, then the value…

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Q: Let f(x) = 2x+1, if x1 O (-∞, 1) U (1,00) O (-∞0, 1] U (1, ∞0) OR O (-∞0, 1) U [1,00)

A: topic- limits and continuity

Q: √x +3 If f(x, y) = xy +7 the domain of f(x, y). Select one: True O False then the point (1, −7) is…

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Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C O None of the choices O cos² (2x)…

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Q: Find the arc length of the following curve on the given interval. x= 12t³, y=18t², 0sts √3 The arc…

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Q: The integral J j e - a dxdly is equal to O 2e-a+2 2 2e-a-4 O2e-a+4 2 02 4

A: We know, ∫exdx=ex

Q: Work Problem for the question. Let You must provide a clear and detailed solution z = (y-2x)³. where…

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Q: f(x, y) = 6√√√x – y²e- - a) b) y²e-3ry + | co y Find f and fy. Evaluate fazy (4,-1).

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Q: Use the Comparison Test to determine whether the series converges. Σ k=1 1 8 5k° +6

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Q: The figure has a tangent line drawn at a labeled point. 9500 9400 9300 9200 9100 p(t) thousand…

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Q: Is the scalar valued function f(x)=(x^2-1)/(x+1) continuous?

A: This is a problem related to limit and continuity of the function. Please follow the procedure given…

Q: Find the general solution of the following differential equation. y" + 4y + 8y = 0 NOTE: Use cy and…

A: