Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive. Σ(n+14)" L lim an = (Enter 'inf' for ∞.) n→∞ Σ (14)" is: n+14 n=1 O A. convergent O B. divergent OC. The Root Test is inconclusive

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A: Given that  cosθ = 15 and θ is in quadrant IV. We have to find the value of  sinθ.

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A: Given:     limx→ -11+1x32x2+x-1

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Q: 2. y = tan (cosh x) (sin x)(sech x) secx (use logarithmic differentiation)

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A: Let's find.

Q: Find . DO NOT SIMPLIFY YOUR ANSWERS. 1. log₂ √√2x² 2x² + y) + tan(x² − π²) = sin¯`¹²(x² − 1) + ½ /

A: To find dydx.log32x23+y+tanxπ-πy=sin-1x2-1+π2

Q: h₂ = = 3.75 sin(736t) + 7.5 and h₂ = 3.75 sin(736(t + 4))+ +7.5

A: answer of given question is in next step

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A: This is a geometric series with r=2x.

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Q: Ex. (10) Sol Solve y"-2y' + 2y = 2x+3

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A: We need to show F is conservative vector field.

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A: Infinite series

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Q: Solve the following differential equations of d² y dx² dx dy +3 dv −10y=3x²

A: We have to find the solution of the given differential equation.

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Center (4, 6)

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Q: 6- Given the function below -(x+1) ²+7 X2

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A: LetL=limx→ 0-2x-1tan-11x2x-12x-1 is negative when x→ 0-.  Therefore 2x-1=-(2x-1)L=limx→…

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Q: Q: Evaluat the integral. Q₁ is's ex dxdy 3y +²

A: Here we have to find the integral.