Determine whether the series is absolutely convergent, conditionally convergent, or divergent. n5 + 1 n- 1 absolutely convergent conditionally convergent O divergent

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A: Let r→t=4t3+3, t5+5t4, -2 ln3tTo find the parametric equation of the line tangent to r→t at the…

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Q: n-1 (-3)' is convergent or divergent. If it's convergent, b) Determine whether the series 4" n=1…

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Q: (b) Solve the following initial value problem: dy cos? t sin t y(0) = 2. dt

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Q: 2003 yo0, Find he Let, hC), 9 gph of h la) where the fangenf bnd is or2ontal where the foogen…

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Q: 8 3. y2 = x and y² = 2 – x (Answer: S. U. ) 3 - -

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Q: h(x) = (5x-1 d) m(x) = (4x² – 9x} %3D

A: Product rule of differentiation: u·v' = u·v' + v·u'   ddxxn = n·xn-1 ddxf(x)n = n·f(x)n-1·f'(x)

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Q: п a) Σ-1 n=1 n2 b) Ση-1 ι=1 (2")²

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Q: 21) Canvert tue rectengu ler equetion to poler forms. C 1ll- yt 1020 a) ra 20 coso り ne b 10 フ 2…

A: The given equation is: 11x-y+10=0   As we know that; The polar coordinates; x=rcosθ, y=rsinθ

Q: Determine whether the improper integral diverges or converges. In x dx O converges O diverges…

A: Use integral test for checking the convergence of series

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Q: dy a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the…

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Q: principle of mathematical induction

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Q: // dydx O Lan- Lan y sin x .5 kan (x/ 2) ** t e tan (x/2) sin x 0.5 1 sin x .5 tan (x/2) ** y 2 tan…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 4 1 lim t→+∞ \ 3t2 +4' 2t (?, ?)

A: The given limit ; limt→+∞t2+43t2+4,12t

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Q: Evaluate the triple iterated integral. xyz dx dy dz Jo

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Q: ...... ... ... ...- Evaluate the iterated integral. 5. y cos(x) dy dx

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Q: Is) Phd an equetian f te tangerut lme et a point C0.0) on the cur ve X= t-144 Aswers: aj 2y-x>0…

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Q: Determine the interval (s) on which the vector-valued function r(t) = ti + Vt + 1j + (t2 + 1)k is…

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Q: s(2) dr=3 and s (4)d. f (x)dx: =-2. what is (x)dx? Make sure to justify your answer -2 or the…

A: We can find the answer as below using property of integration.