Consider the following series. [infinity] 1 n4 n = 1 (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) s10 = (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) sn + [infinity] f(x) dx n + 1 ≤ s ≤ sn + [infinity] f(x) dx n ≤ s ≤ (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s ≈ sn is less than 0.00001. n > 32 n > −32 n > 5 n > 0 n > 15

Inequality equation are those algebraic equations in which the the two equations compare with greater than sign less than sign or other inequality sign.The value of n for the given problem is,

Given-

The given series is,

Using the value of n equal to 1,2,3..... we can find the sum of ten terms with the help of above formula. Therefore,

Inequality equation are those algebraic equations in which the the two equations compare with greater than sign less than sign or other inequality sign.

Now let function,

By the inequality, we can use the formula,

For n=10, we get,

on solving the above we get,

Now by the definition of the function we can write that,

on solving it, we get,

on solving the above equation we get,

Thus the value of n for the given problem is,

For more about the inequality equation follow the link below-

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x