Find Percentile 30 and Percentile 35. Base your answer from the formula provided.
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Find Percentile 30 and Percentile 35. Base your answer from the formula provided.
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- Summation of n = 0 to infinity of (x3n) / (n!) Find radius and interval of convergence.lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N < 0Urgent numerical method Find the value around x ~ 1, which provides the equality of x ^ 3 + x - 1 = 0, by using the Newton-Raphson technique after checking the convergence criterion with a precision of 4 decimal places.
- Find all the ?-values at which the critical points occur of the function f(x)= 2x^3-8x^2+7x on the interval [0,3] (Give your answer in the form of a comma‑separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if there are no critical points.) x values where the critical points occur:There are 25 prime numbers less than 100. The Prime Number Theorem states that the number of primes less than x approaches p(x) ≈ x / lnx . Use this approximation to estimate the rate (in primes per 100 integers) at which the prime numbers occur when (a) x = 1000. (b) x = 1,000,000. (c) x = 1,000,000,000.pointwise convergence q help. Please write up neatly
- f(x) =10 + 10x¹ - 3x² + 0.2x³ - 0.006x⁴ + 0.0009 x⁵- 0.0000008 x⁶ Find: a) first and second derivative b) critical numbers (also state y-values of the critical points) c) points of inflection d) intervals where f(x) is increasing and decreasing (in interval notation) e) intervals where f(x) is concave up and concave down (in interval notation) f) using the closed interval method, find the global max and min of f(x) g) relative extremaProvide detailed solution. No shortcut. Make it legible. Use the appropriate test below 1. Divergence Test 2. Geometric Test 3. Recursive 4. Telescoping 5. P-series 6. Limit Comparison Test 7. Direct Comparison Test 8. Ratio Test 9. Root Test 10. Integral TestUsing the finite-difference method, using h=5, solve for the value of β (15) the function with boundary conditions β (0) = 5 and β (20) = 8; given in the first image below:*For this solution, you MUST arrive at 3 equations and 3 unknowns of βi.*Round-off final root value to at least 4 decimal places only.*Show complete solution; then summarize your answer using a table provided on the second image: