Evaluate the geometric series or state that it diverges.1 + + 2+ 3 + 4 + . . .
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Express the number as the ratio of two integers.0.88888 . ….
Express the number as the ratio of two integers.0.88888 . . .
Parametric equations and a parameter interval for the motion…
Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle’s path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 5 cos t, y = 5 sin t, π ≤ t ≤ 2π
Find the limit of the sequence if it converges; otherwise in…
Find the limit of the sequence if it converges; otherwise indicate divergence.an = 4 + (0.8)n
Express the number as the ratio of two integers.0.22222 . ….
Express the number as the ratio of two integers.0.22222 . . .
Find the area of the surface generated when the given curve…
Find the area of the surface generated when the given curve is revolved about the y-axis.y = , for 8 ≤ x ≤ 10
Solve the problem.A spring on a horizontal surface can be st…
Solve the problem.A spring on a horizontal surface can be stretched and held 0.5 m from its equilibrium position with a force of 55 N. How much work is done in stretching the spring 3 m from its equilibrium position?
Solve the problem.A spring on a horizontal surface can be st…
Solve the problem.A spring on a horizontal surface can be stretched and held 0.5 m from its equilibrium position with a force of 45 N. How much work is done in compressing the spring 1.5 m from its equilibrium position?
Find a formula for the nth term of the sequence.-3, -2, -1, …
Find a formula for the nth term of the sequence.-3, -2, -1, 0, 1 (integers beginning with -3)
Compute dy/dx for the function.y = sinh2 8x
Compute dy/dx for the function.y = sinh2 8x